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 Du, Qiang, 1964 author.
 Philadelphia : Society for Industrial and Applied Mathematics, [2019]
 Description
 Book — xiv, 166 pages : illustrations (chiefly color) ; 26 cm.
 Summary

Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas. Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for wellposedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and fracture mechanics. A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to traditional local systems represented by partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly and to remain valid for complex systems involving possible singular solutions and they have the potential to be alternatives to as well as bridges to existing local continuum and discrete models. The author discusses ongoing studies of nonlocal models to encourage the discovery of new mathematical theory for nonlocal continuum models and offer new perspectives on existing discrete models and local continuum models and the connections between them.
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QA611.28 .D8 2019  Unknown 
2. Time changes of the Brownian motion : Poincaré inequality, heat kernel estimate, and protodistance [2018]
 Kigami, Jun, author.
 Providence, RI : American Mathematical Society, [2019]
 Description
 Book — v, 118 pages ; 26 cm.
 Summary

 Introduction Generalized Sierpinski carpets Standing assumptions and notations Gauge function The Brownian motion and the Green function Time change of the Brownian motion Scaling of the Green function Resolvents Poincare inequality Heat kernel, existence and continuity Measures having weak exponential decay Protodistance and diagonal lower estimate of heat kernel Proof of Theorem 1.1 Random measures having weak exponential decay Volume doubling measure and subGaussian heat kernel estimate Examples Construction of metrics from gauge function Metrics and quasimetrics Protodistance and the volume doubling property Upper estimate of $p_\mu (t, x, y)$ Lower estimate of $p_\mu (t, x, y)$ Non existence of superGaussian heat kernel behavior Bibliography List of notations Index.
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Shelved by Series title NO.1250  Unavailable In process Request 
 Garling, D. J. H., author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.
 Description
 Book — ix, 348 pages ; 23 cm.
 Summary

 Introduction Part I. Topological Properties:
 1. General topology
 2. Metric spaces
 3. Polish spaces and compactness
 4. Semicontinuous functions
 5. Uniform spaces and topological groups
 6. C...dl...g functions
 7. Banach spaces
 8. Hilbert space
 9. The HahnBanach theorem
 10. Convex functions
 11. Subdifferentials and the legendre transform
 12. Compact convex Polish spaces
 13. Some fixed point theorems Part II. Measures on Polish Spaces:
 14. Abstract measure theory
 15. Further measure theory
 16. Borel measures
 17. Measures on Euclidean space
 18. Convergence of measures
 19. Introduction to Choquet theory Part III. Introduction to Optimal Transportation:
 20. Optimal transportation
 21. Wasserstein metrics
 22. Some examples Further reading Index.
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QA611.28 .G36 2018  Unknown 
4. A first course in analysis [2018]
 Conway, John B., 1939 author.
 Cambridge, United Kingdom : Cambridge University Press, [2018]
 Description
 Book — xv, 340 pages ; 26 cm.
 Summary

 1. The real numbers
 2. Differentiation
 3. Integration
 4. Sequences of functions
 5. Metric and Euclidean spaces
 6. Differentiation in higher dimensions
 7. Integration in higher dimensions
 8. Curves and surfaces
 9. Differential forms.
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QA300 .C647 2018  Unknown 
5. An introduction to analysis [2018]
 Gunning, Robert C. (Robert Clifford), 1931
 Princeton, N. J. : Princeton University Press, [2018]
 Description
 Book — x, 370 pages : illustrations ; 27 cm
 Summary

An essential undergraduate textbook on algebra, topology, and calculus An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a oneyear course, this unique textbook also introduces students to rigorous proofs and formal mathematical writingskills they need to excel. With a range of problems throughout, An Introduction to Analysis treats ndimensional calculus from the beginningdifferentiation, the Riemann integral, series, and differential forms and Stokes's theoremenabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology, such as normed and metric spaces, topological spaces, compact sets, and the Baire category theorem. It covers linear algebra as well, including vector spaces, linear mappings, Jordan normal form, bilinear mappings, and normal mappings. Proven in the classroom, An Introduction to Analysis is the first textbook to bring these topics together in one easytouse and comprehensive volume. Provides a rigorous introduction to calculus in one and several variables Introduces students to basic topology Covers topics in linear algebra, including matrices, determinants, Jordan normal form, and bilinear and normal mappings Discusses differential forms and Stokes's theorem in n dimensions Also covers the Riemann integral, integrability, improper integrals, and series expansions.
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QA300 .G86 2018  Unknown 
 Bergin, Tiffany author.
 London : SAGE Publications, 2018.
 Description
 Book — xviii, 269 pages : illustrations ; 25 cm
 Summary

 Chapter 1: Introducing Data
 Chapter 2: Thinking like a Data Analyst
 Chapter 3: Finding, Collecting, and Organizing Data
 Chapter 4: Introducing Quantitative Data Analysis
 Chapter 5: Applying Quantitative Data Analysis: Correlations, TTests, and ChiSquare Tests
 Chapter 6: Introducing Qualitative Data Analysis
 Chapter 7: Applying Qualitative Data Analysis
 Chapter 8: Introducing Mixed Methods: How to Synthesize Quantitative and Qualitative Data Analysis Techniques
 Chapter 9: Communicating Findings and Visualizing Data
 Chapter 10: Conclusion: Becoming a Data Analyst.
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QA276.4 .B47 2018  Unknown 
7. An introduction to real analysis [2018]
 Agarwal, Ravi P., author.
 Boca Raton, FL : CRC Press, [2018]
 Description
 Book — xiv, 277 pages ; 24 cm
 Summary

 Logic and Proof Techniques. Sets and Functions. Real Numbers. Open and Closed Sets. Cardinality. Realvalued Functions. Real Sequences. Real Sequences (Contd.). Infinite Series. Infinite Series (Contd.). Limits of Functions. Continuous Functions. Discontinuous Functions. Uniform and Absolute Continuities and Functions of Bounded Variation. Differentiable Functions. Higher Order Differentiable Functions. Convex Functions. Indeterminate Forms. Riemann Integration. Properties of the Riemann Integral. Improper Integrals. RiemannLebesgue Theorem. RiemannStieltjes Integral. Sequences of Functions. Sequences of Functions (Contd.). Series of Functions. Power and Taylor Series. Power and Taylor Series (Contd.). Metric Spaces. Metric Spaces (Contd.). Bibliography. Index.
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QA300 .A33 2018  Unknown 
8. Numerical analysis [2018]
 Sauer, Tim, author.
 Third edition.  [Hoboken, New Jersey] : Pearson, [2018]
 Description
 Book — xv, 657 pages ; 27 cm
 Summary

 Fundamentals
 Solving equations
 Systems of equations
 Interpolation
 Least squares
 Numerical differentiation and integration
 Ordinary differential equations
 Boundary value problems
 Partial differential equations
 Random numbers and applications
 Trigonometric interpolation and the FFT
 Compression
 Eigenvalues and singular values
 Optimization.
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QA297 .S348 2018  Unknown 
 Operator Theory, Analysis and the State Space Approach (Workshop) (2017 : Amsterdam, Netherlands), author.
 Cham : Birkhäuser, [2018]
 Description
 Book — xlviii, 464 pages : illustrations (chiefly color) ; 25 cm.
 Summary

 Curriculum Vitae of M.A. Kaashoek
 Publication List of M.A. Kaashoek
 List of Ph.D. students
 Personal reminiscenses / H. Bart, S. ter Horst, D.Pik, A. Ran, F. van Schagen and H.J. Woerdeman
 Carathéodory extremal functions on the symmetrized bidisc / J. Agler, Z.A. Lykova and N.J. Young
 Standard versus strict Bounded Real Lemma with infinitedimensional state space III : the dichotomous and bicausal cases / J.A. Ball, G.J. Groenewald and S. ter Horst
 Lfree directed bipartite graphs and echelontype canonical forms / H. Bart, T. Ehrhardt and B. Silbermann
 Extreme individual eigenvalues for a class of large Hessenberg Toeplitz matrices / J.M. Bogoya, S.M. Grudsky and I.S. Malysheva
 How to solve an equation with a Toeplitz operator? / A. Böttcher and E. Wegert
 On the maximal ideal space of even quasicontinuous functions on the unit circle / T. Ehrhardt and Z. Zhou
 Bisection eigenvalue method for Hermitian matrices with quasiseparable representation and a related inverse problem / Y. Eidelman and I. Haimovici
 A note on innerouter factorization of wide matrixvalued functions / A.E. Frazho and A.C.M. Ran
 An application of the Schur complement to truncated matricial power moment problems / B. Fritzsche, B. Kirstein and C. Mädler
 A Toeplitzlike operator with rational symbol having poles on the unit circle I : Fredholm properties / G.J. Groenewald, S. ter Horst, J. Jaftha and A.C.M. Ran
 Canonical form for Hsymplectic matrices / G.J. Groenewald, D.B. Janse van Rensburg and A.C.M. Ran
 A note on the Fredholm theory of singular integral operators with Cauchy and Mellin kernels / P. Junghanns and R. Kaiser
 Towards a system theory of rational systems / J. Němcová, M. Petreczky and J.H. van Schuppen
 Automorphisms of effect algebras / L. Plevnik and P. Šemrl
 GBDT of discrete skewselfadjoint Dirac systems and explicit solutions of the corresponding nonstationary problems / A.L. Sakhnovich
 On the reduction of general WienerHopf operators / F.O. Speck
 Maximum determinant positive definite Toeplitz completions / S. Sremac, H.J. Woerdeman and H. Wolkowicz
 On commutative C*algebras generated by Toeplitz operators with Tminvariant symbols / N. Vasilevski.
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QA329 .O64 2017  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — x, 361 pages : illustrations ; 26 cm.
 Summary

 * I. Losev, Rational Cherednik algebras and categorification* O. Dudas, M. Varagnolo, and E. Vasserot, Categorical actions on unipotent representations of finite classical groups* J. Brundan and N. Davidson, Categorical actions and crystals* A. M. Licata, On the 2linearity of the free group* M. Ehrig, C. Stroppel, and D. Tubbenhauer, The BlanchetKhovanov algebras* G. Lusztig, Generic character sheaves on groups over $k[\epsilon]/(\epsilon^r)$* D. Berdeja Suarez, Integral presentations of quantum lattice Heisenberg algebras* Y. Qi and J. Sussan, Categorification at prime roots of unity and hopfological finiteness* B. Elias, Folding with Soergel bimodules* L. T. Jensen and G. Williamson, The $p$canonical basis for Hecke algebras.
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QA169 .C3744 2017  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — x, 267 pages : illustrations ; 26 cm.
 Summary

 * B. Webster, Geometry and categorification* Y. Li, A geometric realization of modified quantum algebras* T. Lawson, R. Lipshitz, and S. Sarkar, The cube and the Burnside category* S. Chun, S. Gukov, and D. Roggenkamp, Junctions of surface operators and categorification of quantum groups* R. Rouquier, KhovanovRozansky homology and 2braid groups* I. Cherednik and I. Danilenko, DAHA approach to iterated torus links.
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QA169 .C3746 2017  Unknown 
12. Essential real analysis [2017]
 Field, Michael, author.
 Cham, Switzerland : Springer, 2017.
 Description
 Book — xvii, 450 pages : illustrations ; 24 cm.
 Summary

 1 Sets, functions and the real numbers.
 2 Basic properties of real numbers, sequences and continuous functions.
 3 Infinite series.
 4 Uniform convergence.
 5 Functions.
 6. Topics from classical analysis: The Gammafunction and the EulerMaclaurin formula.
 7 Metric spaces.
 8 Fractals and iterated function systems.
 9 Differential calculus on Rm. Bibliography. Index.
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QA300 .F54 2017  Unknown 
 Meier, John, author.
 Cambridge, UK ; New York : Cambridge University Press, 2017.
 Description
 Book — xv, 324 pages ; 26 cm.
 Summary

 1. Let's play!
 2. Discovering and presenting mathematics
 3. Sets
 4. The integers and the fundamental theorem of arithmetic
 5. Functions
 6. Relations
 7. Cardinality
 8. The real numbers
 9. Probability and randomness
 10. Algebra and symmetry
 11. Projects Appendix A. Solutions, answers, or hints to intext exercises Index Bibilography.
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QA303.3 .M45 2017  Unknown 
14. Foundations of applied mathematics [2017  ]
 Humpherys, Jeffrey, author.
 Philadelphia : Society for Industrial and Applied Mathematics, [2017]
 Description
 Book — volumes ; 27 cm
 Online
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QA303.2 .H86 2017 V.1  Unknown 
15. From groups to geometry and back [2017]
 Climenhaga, Vaughn, 1982 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xix, 420 pages ; 22 cm.
 Summary

 * Elements of group theory* Symmetry in the Euclidean world: Groups of isometries of planar and spatial objects* Groups of matrices: Linear algebra and symmetry in various geometries* Fundamental group: A different kind of group associated to geometric objects* From groups to geometric objects and back* Groups at large scale* Hints to selected exercises* Suggestions for projects and further reading* Bibliography* Index.
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QA174.2 .C55 2017  Unknown 
 De Pauw, Th. (Thierry), 1971 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — v, 115 pages ; 26 cm.
 Summary

 * Introduction* Notation and preliminaries* Rectifiable chains* Lipschitz chains* Flat norm and flat chains* The lower semicontinuity of slicing mass* Supports of flat chains* Flat chains of finite mass* Supports of flat chains of finite mass* Measures defined by flat chains of finite mass* Products* Flat chains in compact metric spaces* Localized topology* Homology and cohomology*$q$bounded pairs* Dimension zero* Relation to the Cech cohomology* Locally compact spaces* References.
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Shelved by Series title NO.1172  Unknown 
17. Introduction to analysis [2017]
 Dunn, Corey M., 1978
 Boca Raton : CRC Press, Taylor & Francis Group, 2017.
 Description
 Book — xx, 398 pages : illustrations ; 25 cm.
 Summary

 1. Sets, Functions, and Proofs
 2. The Real Numbers
 3. Sequences and their Limits
 4. Series of Real Numbes
 5. Limits and Continuity
 6. Differentiation
 7. Sequences and Series of Functions A List of Commonly Used Symbols Bibliography Index.
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QA300 .D848 2017  Unknown 
18. Mathematical analysis [2017]
 Malik, S. C., author.
 Fifth multi colour edition.  New Delhi : New Academic Science, an imprint of New Age International (UK) Ltd., [2017]
 Description
 Book — xiv, 870 pages : illustrations (some color) ; 24 cm
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QA300 .M2846 2017  Unknown 
 Cham, Switzerland : Springer, [2017]
 Description
 Book — xiv, 171 pages ; 24 cm.
 Summary

 1. Invariant distances / Marco Abate
 2. Dynamics in several complex variables / Marco Abate
 3. Gromov hyperbolic spaces and applications to complex analysis / Hervé Pajot
 4. Gromov hyperbolicity of bounded convex domains / Andrew Zimmer
 5. Quasiconformal mappings / Hervé Pajot
 6. Carleson measures and Toeplitz operators / Marco Abate
 Appendix A. Geometric analysis in one complex variable / Hervé Pajot.
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Shelved by Series title V.2195  Unknown 
20. Modern real analysis [2017]
 Ziemer, William P., author.
 Second edition.  Cham, Switzerland : Springer International, [2017]
 Description
 Book — xi, 382 pages ; 24cm.
 Summary

 Preface.
 1. Preliminaries.
 2. Real, Cardinal and Ordinal Numbers.
 3. Elements of Topology.
 4. Measure Theory.
 5. Measurable Functions.
 6. Integration.
 7. Differentiation.
 8. Elements of Functional Analysis.
 9. Measures and Linear Functionals.
 10. Distributions.
 11. Functions of Several Variables. Bibliography. Index.
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QA331.5 .Z54 2017  Unknown 
21. Nonlinear analysis in geometry and applied mathematics [2017  ]
 Somerville : International Press, [2017]
 Description
 Book — volumes : illustrations (some color) ; 26 cm.
 Summary

During the 20152016 year, Harvard University's Center of Mathematical Sciences and Applications (CMSA) hosted a yearlong thematic program on nonlinear equations and their connections to geometry, physics, and computer science. This volume presents articles contributed by some of the participants in this program, and builds on the activities of that special year. Specific topics include: general existence and regularity for elliptic and parabolic equations, the theory of minimal surfaces, the Weyl and Minkowski problems, transport and conservations laws, NavierStokes, and the Calderon problem. This volume, the second in the series, will benefit scholars working in nonlinear analysis and its connections with geometry and physics.
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QA427 .N6592 2017 V.1  Unknown 
QA427 .N6592 2017 V.2  Unknown 
 Cameron, Peter J. (Peter Jephson), 1947 author.
 Cambridge, UK ; New York : Cambridge University Press, 2017.
 Description
 Book — xii, 222 pages : illustrations ; 24 cm.
 Summary

 1. Introduction
 2. Formal power series
 3. Subsets, partitions and permutations
 4. Recurrence relations
 5. The permanent
 6. qanalogues
 7. Group actions and cycle index
 8. Mobius inversion
 9. The Tutte polynomial
 10. Species
 11. Analytic methods: a first look
 12. Further topics
 13. Bibliography and further directions Index.
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QA164 .C349 2017  Unknown 
 Bruce, Peter C., 1953 author.
 First edition.  Sebastopol, CA : O'Reilly Media, Inc., 2017.
 Description
 Book — xvi, 298 pages : illustrations ; 24 cm
 Summary

 Exploratory data analysis
 Data and sampling distributions
 Statistical experiments and significance testing
 Regression and prediction
 Classification
 Statistical machine learning
 Unsupervised learning.
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QA276.4 .B78 2017  Unknown 
24. Problems and solutions in real analysis [2017]
 Hata, Masayoshi.
 Second edition.  New Jersey : World Scientific, [2017]
 Description
 Book — xii, 363 pages ; 23 cm.
 Summary

This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, differential equations and metric spaces.Each chapter has a summary of basic points, in which some fundamental definitions and results are prepared. This also contains many brief historical comments for some significant mathematical results in real analysis together with many references.Problems and Solutions in Real Analysis can be treated as a collection of advanced exercises by undergraduate students during or after their courses of calculus and linear algebra. It is also instructive for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the Prime Number Theorem through several exercises. This volume is also suitable for nonexperts who wish to understand mathematical analysis.
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QA301 .H37 2017  Unknown 
25. Algebraic inequalities : new vistas [2016]
 Andreescu, Titu, 1956 author.
 Berkeley, California : Mathematical Sciences Research Institute ; Providence, Rhode Island : American Mathematical Society, [2016]
 Description
 Book — x, 124 pages : illustrations ; 26 cm.
 Summary

 * Some introductory problems* Squares are never negative* The arithmeticgeometric mean inequality, part I* The arithmeticgeometric mean inequality, part II* The harmonic mean* Symmetry in algebra, part I* Symmetry in algebra, part II* Symmetry in algebra, part III* The rearrangement inequality* The CauchySchwarz inequality.
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QA295 .A6244 2016  Unknown 
 AMADE (Conference) (8th : 2015 : Minsk, Belarus)
 Cottenham, Cambridge, UK : Cambridge Scientific Publishers, [2016]
 Description
 Book — xiv, 160 pages : illutrations (some color) ; 25 cm
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QA299.6 .A423 2015  Unknown 
27. Bayesian methods for repeated measures [2016]
 Broemeling, Lyle D., 1939 author.
 Boca Raton, FL : CRC Press, Taylor & Francis, [2016]
 Description
 Book — xv, 552 pages : illustrations ; 25 cm.
 Summary

 Introduction to the Analysis of Repeated Measures Introduction Bayesian Inference Bayes's Theorem Prior Information Posterior Information Posterior Inference Estimation Testing Hypotheses Predictive Inference The Binomial Forecasting from a Normal Population Checking Model Assumptions Sampling from an Exponential, but Assuming a Normal Population Poisson Population Measuring Tumor Size Testing the Multinomial Assumption Computing Example of a CrossSectional Study Markov Chain Monte Carlo Metropolis Algorithm Gibbs Sampling Common Mean of Normal Populations An Example Additional Comments about Bayesian Inference WinBUGS Preview Exercises Review of Bayesian Regression Methods Introduction Logistic Regression Linear Regression Models Weighted Regression Nonlinear Regression Repeated Measures Model Remarks about Review of Regression Exercises Foundation and Preliminary Concepts Introduction An Example Notation Descriptive Statistics Graphics Sources of Variation Bayesian Inference Summary Statistics Another Example Basic Ideas for Categorical Variables Summary Exercises Linear Models for Repeated Measures and Bayesian Inference Introduction Notation for Linear Models Modeling the Mean Modeling the Covariance Matrix Historical Approaches Bayesian Inference Another Example Summary and Conclusions Exercises Estimating the Mean Profile of Repeated Measures Introduction Polynomials for Fitting the Mean Profile Modeling the Mean Profile for Discrete Observations Examples Conclusions and Summary Exercises Correlation Patterns for Repeated Measures Introduction Patterns for Correlation Matrices Choosing a Pattern for the Covariance Matrix More Examples Comments and Conclusions Exercises General Mixed Linear Model Introduction and Definition of the Model Interpretation of the Model General Linear Mixed Model Notation Pattern of the Covariance Matrix Bayesian Approach Examples Diagnostic Procedures for Repeated Measures Comments and Conclusions Exercises Repeated Measures for Categorical Data Introduction to the Bayesian Analysis with a Dirichlet Posterior Distribution Bayesian GEE Generalized Mixed Linear Models for Categorical Data Comments and Conclusions Exercises Nonlinear Models and Repeated Measures Nonlinear Models and a Continuous Response Nonlinear Repeated Measures with Categorical Data Comments and Conclusion Exercises Bayesian Techniques for Missing Data Introduction Missing Data and Linear Models of Repeated Measures Missing Data and Categorical Repeated Measures Comments and Conclusions Exercises References.
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QA279.5 .B77 2016  Unknown 
28. A course in analysis [2016  ]
 Jacob, Niels.
 New Jersey : World Scientific, [2016]
 Description
 Book — volumes : illustrations ; 26 cm
 Summary

 Introductory Calculus: Numbers  Revision The Absolute Value, Inequalities and Intervals Mathematical Induction Functions and Mappings Functions and Mappings Continued Derivatives Derivatives Continued The Derivative as a Tool to Investigate Functions The Exponential and Logarithmic Functions Trigonometric Functions and Their Inverses Investigating Functions Integrating Functions Rules for Integration Analysis in One Dimension: Problems with the Real Line Sequences and their Limits A First Encounter with Series The Completeness of the Real Numbers Convergence Criteria for Series, badic Fractions Point Sets in Continuous Functions Differentiation Applications of the Derivative Convex Functions and some Norms on n Uniform Convergence and Interchanging Limits The Riemann Integral The Fundamental Theorem of Calculus A First Encounter with Differential Equations Improper Integrals and the GAMMAFunction Power Series and Taylor Series Infinite Products and the Gauss Integral More on the GAMMAFunction Selected Topics on Functions of a Real Variable.
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QA300 .J27 2016 V.1  Unknown 
QA300 .J27 2016 V.2  Unknown 
QA300 .J27 2016 V.3  Unknown 
QA300 .J27 2016 V.4  Unknown 
29. Fourier analysis [2016  ]
 Constantin, Adrian.
 Cambridge : Cambridge University Press, 2016
 Description
 Book — volumes : illustrations ; 23 cm.
 Summary

 1. Introduction
 2. The Lebesgue measure and integral
 3. Elements of functional analysis
 4. Convergence results for Fourier series
 5. Fourier transforms
 6. Multidimensional Fourier analysis
 7. A glance at some advanced topics Appendix: historical notes References Index.
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QA403.5 .C66 2016 PT.1  Unknown 
30. Geometric analysis [2016]
 [Providence] : American Mathematical Society Institute for Advanced Study, [2016]
 Description
 Book — xvi, 438 pages : illustrations (some color) ; 27 cm.
 Summary

 * Heat diffusion in geometry by G. Huisken* Applications of Hamilton's compactness theorem for Ricci flow by P. Topping* The KahlerRicci flow on compact Kahler manifolds by B. Weinkove* Park City lectures on eigenfunctions by S. Zelditch* Critical metrics for Riemannian curvature functionals by J. A. Viaclovsky* Minmax theory and a proof of the Willmore conjecture by F. C. Marques and A. Neves* Weak immersions of surfaces with $L^2$bounded second fundamental form by T. Riviere* Introduction to minimal surface theory by B. White.
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QA360 .G455 2016  Unknown 
 Aron, Richard M. author.
 Boca Raton, FL : CRC Press, Taylor & Francis Group, [2016]
 Description
 Book — xix, 308 pages : illustrations ; 24 cm.
 Summary

 Preliminary Notions and Tools Cardinal numbers Cardinal arithmetic Basic concepts and results of abstract and linear algebra Residual subsets Lineability, spaceability, algebrability, and their variants
 Real Analysis What one needs to know Weierstrass' monsters Differentiable nowhere monotone functions Nowhere analytic functions and annulling functions Surjections, Darboux functions, and related properties Other properties related to the lack of continuity Continuous functions that attain their maximum at only one point Peano maps and spacefilling curves
 Complex Analysis What one needs to know Nonextendable holomorphic functions: genericity Vector spaces of nonextendable functions Nonextendability in the unit disc Tamed entire functions Wild behavior near the boundary Nowhere Gevrey differentiability
 Sequence Spaces, Measure Theory, and Integration What one needs to know Lineability and spaceability in sequence spaces Noncontractive maps and spaceability in sequence spaces Lineability and spaceability in Lp[0, 1] Spaceability in Lebesgue spaces Lineability in sets of norm attaining operators in sequence spaces Riemann and Lebesgue integrable functions and spaceability
 Universality, Hypercyclicity, and Chaos What one needs to know Universal elements and hypercyclic vectors Lineability and denselineability of families of hypercyclic vectors Wild behavior near the boundary, universal series, and lineability Hypercyclicity and spaceability Algebras of hypercyclic vectors Supercyclicity and lineability Frequent hypercyclicity and lineability Distributional chaos and lineability
 Zeros of Polynomials in Banach Spaces What one needs to know Zeros of polynomials: the results
 Miscellaneous Series in classical Banach spaces Dirichlet series Nonconvergent Fourier series Normattaining functionals Annulling functions and sequences with finitely many zeros SierpinskiZygmund functions NonLipschitz functions with bounded gradient The DenjoyClarkson property
 General Techniques What one needs to know The negative side When lineability implies denselineability General results about spaceability An algebrability criterion Additivity and cardinal invariants: a brief account
 Bibliography Index
 Exercises, Notes, and Remarks appear at the end of each chapter.
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QA184.2 .A76 2016  Unknown 
 Hosseini Giv, Hossein, 1983
 Providence, Rhode Island : American Mathematical Society, [2016]
 Description
 Book — xxi, 348 pages : illustrations ; 27 cm.
 Summary

 Rebuilding the calculus building
 The real number system revisited
 Sequences and series of real numbers
 Limit and continuity of real functions
 Derivative and differentiation
 The Riemann integral
 Abstraction and generalization
 Basic theory of metric spaces
 Sequences in general metric spaces
 Limit and continuity of functions in metric spaces
 Sequences and series of functions
 Appendix
 Real sequences and series
 Limit and continuity of functions
 The concepts of derivative and differentiability
 The Riemann integral.
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QA303.2 .H67 2016  Unknown 
 Gould, Ronald, author.
 Second edition.  Boca Raton : CRC Press, Taylor & Francis Group, [2016]
 Description
 Book — xxiii, 354 pages : illustrations ; 24 cm.
 Summary

 Basic Probability Introduction Of Dice and Men Probability The Laws That Govern Us Poker Hands versus Batting Orders Let's Play for Money! Is That Fair? The Odds Are against Us Things Vary Conditional Expectation The Game's Afoot Applications to Games Counting and Probability in Poker Hands Roulette Craps Let's Make a Deal  The Monty Hall Problem Carnival Games Other Casino Games Backgammon Repeated Play Introduction Binomial Coefficients The Binomial Distribution The Poisson Distribution StreaksAre They Real? Betting Strategies The Gambler's Ruin Card Tricks and More Introduction The FiveCard Trick The TwoDeck Matching Game More Tricks The Paintball Wars Dealing with Data Introduction Batting Averages and Simpson's Paradox NFL Passer Ratings Viewing Data  Simple Graphs Confidence in Our Estimates Measuring Differences in Performance Testing and Relationships Introduction Suzuki versus Pujols I'll Decide If I Believe That Are the Old Adages True? How Good Are Certain Measurements? Arguing over Outstanding Performances A Last Look at Comparisons Games and Puzzles Introduction Number Arrays The Tower of Hanoi Instant Insanity Lights Out Peg Games Puzzles on the Chessboard Guarini's Problem Martin Gardner's No 3inaLine Problem The Knight's Tour Domination and Independence Attacking Placements and Independence Combinatorial Games Introduction to Combinatorial Games Subtraction Games Nim Games as Digraphs BlueRed Hackenbush Green Hackenbush Games as Numbers More about Nimbers Appendix Review of Elementary Set Theory Relations and Functions Standard Normal Distribution Table Student's tDistribution Solutions to Problems Solutions to Selected Exercises Bibliography Index.
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QA401 .G658 2016  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2016]
 Description
 Book — ix, 297 pages : illustrations ; 26 cm.
 Summary

 * Ed Saff at three score and ten by D. S. Lubinsky* The tale of a formula by V. Totik* Logoptimal configurations on the sphere by P. D. Dragnev* Convergene of random continued fractions and random iterations of Mobius transformations by L. Lorentzen* Ratio asymptotics for multiple orthogonal polynomials by W. Van Assche* Study of a parametrization of the bivariate trigonometric moment problem by J. S. Geronimo and A. Pangia* Explicit formulas for the Riesz energy of the $N$th roots of unity by J. S. Brauchart* Asymptotic zero distribution of random polynomials spanned by general bases by I. E. Pritsker* On row sequences of Pade and HermitePade approximation by G. Lopez Lagomasino* Orthogonal expansions for generalized Gegenbauer weight function on the unit ball by Y. Xu* The MhaskarSaff variational principle and location of the shocks of certain hyperbolic equations by A. I. Aptekarev* Boundary estimates for Bergman polynomials in domains with corners by N. Stylianopoulos* Asymptotics of type I HermitePade polynomials for semiclassical functions by A. MartinezFinkelshtein, E. A. Rakhmanov, and S. P. Suetin* Sparse interpolation and rational approximation by A. Cuyt and W.S. Lee* Asymptotics of the Meijer $G$functions by Y. Lin and R. Wong* Transformations of polynomial ensembles by A. B. J. Kuijlaars* Local statistics of lattice points on the sphere by J. Bourgain, P. Sarnak, and Z. Rudnick* Conditioning moments of singular measures for entropy maximization II: Numerical examples by M. Budisic and M. Putinar.
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QA331 .M677 2016  Unknown 
 Boca Raton : CRC Press, Taylor & Francis Group, [2016]
 Description
 Book — xiii, 394 pages : illustrations ; 24 cm
 Summary

 Introduction John McCamley and Steven J. Harrison Time Series Sara A. Myers StateSpace Reconstruction Shane R. Wurdeman Lyapunov Exponent Shane R. Wurdeman Surrogation Sara A. Myers Entropy Jennifer M. Yentes Fractals Denise McGrath Autocorrelation Function, Mutual Information, and Correlation Dimension Nathaniel H. Hunt Case Studies Anastasia Kyvelidou and Leslie M. Decker.
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QP301 .N66 2016  Unknown 
 Cham : Birkhäuser, [2016]
 Description
 Book — viii, 314 pages : illustrations (some color) ; 25 cm.
 Summary

 Introduction. Todor Gramchev: GelfandShilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in \R^n. Miroslav Englis: An Excursion into BerezinToeplitz Quantization and Related Topics. Andrew Comech: Global Attraction to Solitary Waves. Irina Markina: Geodesics in Geometry with Constraints and Applications.
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QC20.7 .A5 Q36 2016  Unknown 
37. Slice hyperholomorphic Schur analysis [2016]
 Alpay, Daniel, author.
 Cham : Birkhäuser, Springer International Publishing, [2016]
 Description
 Book — xii, 362 pages ; 25 cm.
 Summary

 Prologue
 Classical Schur analysis
 Preliminaries
 Some history
 Krein spaces, Pontryagin spaces, and negative squares
 The Wiener algebra
 The Nehari extension problem
 The CarathéodoryToeplitz extension problem
 Various classes of functions and realization theorems
 Rational functions
 Rational functions and minimal realizations
 Minimal factorization
 Rational functions Junitary on the imaginary line
 Rational functions Junitary on the unit circle
 Schur analysis
 The Schur algorithm
 Interpolation problems
 Firstorder discrete systems
 The Schur algorithm and reproducing kernel spaces
 Quaternionic analysis
 Finitedimensional Preliminaries
 Some preliminaries on quaternions
 Polynomials with quaternionic coefficients
 Matrices with quaternionic entries
 Matrix equations
 Quaternionic functional analysis
 Quaternionic locally convex linear spaces
 Quaternionic inner product spaces
 Quaternionic Hilbert spaces : main properties
 Partial majorants
 Majorant topologies and inner product spaces
 Quaternionic Hilbert spaces : weak topology
 Quaternionic Pontryagin spaces
 Quaternionic Krein spaces
 Positive definite functions and reproducing kernel quaternionic Hilbert spaces
 Negative squares and reproducing kernel quaternionic Pontryagin spaces
 Slice hyperholomorphic functions
 The scalar case
 The Hardy space of the unit ball
 Blaschke products (unit ball case)
 The Wiener algebra
 The Hardy space of the open halfspace
 Blaschke products (halfspace case)
 Operatorvalued slice hyperholomorphic functions
 Definition and main properties
 Sspectrum and Sresolvent operator
 Functional calculus
 Two results on slice hyperholomorphic extension
 Slice hyperholomorphic kernels
 The space H²H ̣(B) and slice backwardshift invariant subspaces
 Quaternionic schur analysis
 Reproducing kernel spaces and realizations
 Classes of functions
 The PotapovGinzburg transform
 Schur and generalized Schur functions of the ball
 Contractive multipliers, inner multipliers and BeurlingLax theorem
 A theorem on convergence of Schur multipliers
 The structure theorem
 Carathéodory and generalized Carathéodory functions
 Schur and generalized Schur functions of the halfspace
 Herglotz and generalized Herglotz functions
 Rational slice hyperholomorphic functions
 Definition and first properties
 Minimal realizations
 Realizations of unitary rational functions
 Rational slice hyperholomorphic functions
 Linear fractional transformation
 Backwardshift operators
 First applications : scalar interpolation and firstorder discrete systems
 The Schur algorithm
 A particular case
 The reproducing kernel method
 CarathéodoryFejér interpolation
 Boundary interpolation
 Firstorder discrete linear systems
 Discrete systems : the rational case
 Interpolation : operatorvalued Case
 Formulation of the interpolation problems
 The problem IP(H²H(B)) : the nondegenerate case
 Lefttangential interpolation in ... S(H₁, H₂, B)
 Interpolation in S(H₁, H₂, B) : the nondegenerate case
 Interpolation : the case of a finite number of interpolating conditions
 Leech's theorem
 Interpolation in S(H₁, H₂, B) : Nondegenerate case : Sufficiency
 Epilogue
 Bibliography
 Index
 Notation index.
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QA331.7 .A47 2016  Unknown 
38. Special functions and orthogonal polynomials [2016]
 Beals, Richard, 1938 author.
 Cambridge, United Kingdom : Cambridge University Press, 2016.
 Description
 Book — xiii, 473 pages : illustrations ; 24 cm.
 Summary

 1. Orientation
 2. Gamma, beta, zeta
 3. Secondorder differential equations
 4. Orthogonal polynomials on an interval
 5. The classical orthogonal polynomials
 6. Semiclassical orthogonal polynomials
 7. Asymptotics of orthogonal polynomials: two methods
 8. Confluent hypergeometric functions
 9. Cylinder functions
 10. Hypergeometric functions
 11. Spherical functions
 12. Generalized hypergeometric functions Gfunctions
 13. Asymptotics
 14. Elliptic functions
 15. Painleve transcendents Appendix A. Complex analysis Appendix B. Fourier analysis References Index.
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QA404.5 .B3227 2016  Unknown 
39. The tools of mathematical reasoning [2016]
 Lakins, Tamara J., 1963
 Providence, Rhode Island : American Mathematical Society, [2016]
 Description
 Book — xiii, 217 pages ; 26 cm.
 Summary

This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.
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QA300 .L26 2016  Unknown 
 Louck, James D., author.
 New Jersey : World Scientific, [2015]
 Description
 Book — xii, 179 pages : illustrations ; 26 cm
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA427 .L68 2015  Unknown 
41. Bicomplex holomorphic functions : the algebra, geometry and analysis of bicomplex numbers [2015]
 LunaElizarrarás, Maria Elena author.
 Cham [Switzerland] : Birkhauser, [2015]
 Description
 Book — viii, 231 pages : color illustrations ; 25 cm.
 Summary

 Introduction. 1.The Bicomplex Numbers. 2.Algebraic Structures of the Set of Bicomplex Numbers. 3.Geometry and Trigonometric Representations of Bicomplex. 4.Lines and curves in BC. 5.Limits and Continuity. 6.Elementary Bicomplex Functions. 7.Bicomplex Derivability and Differentiability. 8.Some properties of bicomplex holomorphic functions. 9.Second order complex and hyperbolic differential operators. 10.Sequences and series of bicomplex functions. 11.Integral formulas and theorems. Bibliography.
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QA331.7 .B85 2015  Unknown 
42. A comprehensive course in analysis [2015]
 Simon, Barry, 1946 author.
 Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — 5 volumes : illustrations (black and white) ; 26 cm + 1 booklet (iii, 68 pages : illustrations ; 25 cm)
 Summary

 * Contents for
 Part 1 (Real Analysis): Preliminaries* Topological spaces* A first look at Hilbert spaces and Fourier series* Measure theory* Convexity and Banach spaces* Tempered distributions and the Fourier transform* Bonus chapter: Probability basics* Bonus chapter: Hausdorff measure and dimension* Bonus chapter: Inductive limits and ordinary distributions* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies* Contents for Part 2A (Basic Complex Analysis): Preliminaries* The Cauchy integral theorem: Basics Consequences of the Cauchy integral formula* Chains and the ultimate Cauchy integral theorem* More consequences of the CIT* Spaces of analytic functions* Fractional linear transformations* Conformal maps* Zeros of analytic functions and product formulae* Elliptic functions* Selected additional topics* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies* Contents for Part 2B (Advanced Complex Analysis): Riemannian metrics and complex analysis* Some topics in analytic number theory* Ordinary differential equations in the complex domain* Asymptotic methods* Univalent functions and Loewner evolution* Nevanlinna theory* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies* Contents for
 Part 3 (Harmonic Analysis): Preliminaries* Pointwise convergence almost everywhere* Harmonic and subharmonic functions* Bonus chapter: Phase space analysis $H^p$ spaces and boundary values of analytic functions on the unit disk* Bonus chapter: More inequalities* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies* Contents for
 Part 4 (Operator Theory): Preliminaries* Operator basics* Compact operators, mainly on a Hilbert space* Orthogonal polynomials* The spectral theorem* Banach algebras* Bonus chapter: Unbounded selfadjoint operators* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies.
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QA300 .S536 2015 PT.1  Unknown 
QA300 .S536 2015 PT.2A  Unknown 
QA300 .S536 2015 PT.2B  Unknown 
QA300 .S536 2015 PT.2B  Unknown 
QA300 .S536 2015 PT.3  Unknown 
QA300 .S536 2015 PT.4  Unknown 
QA300 .S536 2015 SUPPL  Unknown 
43. A course in real analysis [2015]
 Junghenn, Hugo D. (Hugo Dietrich), 1939
 Boca Raton, FL : CRC Press, [2015]
 Description
 Book — xxiii, 589 pages : illustrations ; 24 cm
 Summary

 Functions of One Variable The Real Number System From Natural Numbers to Real Numbers Algebraic Properties of R Order Structure of R Completeness Property of R Mathematical Induction Euclidean Space
 Numerical Sequences Limits of Sequences Monotone Sequences Subsequences. Cauchy Sequences Limit Inferior and Limit Superior
 Limits and Continuity on R Limit of a Function Limits Inferior and Superior Continuous Functions Some Properties of Continuous Functions Uniform Continuity
 Differentiation on R Definition of Derivative. Examples The Mean Value Theorem Convex Functions Inverse Functions L'Hospital's Rule Taylor's Theorem on R Newton's Method
 Riemann Integration on R The RiemannDarboux Integral Properties of the Integral Evaluation of the Integral Stirling's Formula Integral Mean Value Theorems Estimation of the Integral Improper Integrals A Deeper Look at Riemann Integrability Functions of Bounded Variation The RiemannStieltjes Integral
 Numerical Infinite Series Definition and Examples Series with Nonnegative Terms More Refined Convergence Tests Absolute and Conditional Convergence Double Sequences and Series
 Sequences and Series of Functions Convergence of Sequences of Functions Properties of the Limit Function Convergence of Series of Functions Power Series
 Functions of Several Variables Metric Spaces Definitions and Examples Open and Closed Sets Closure, Interior, and Boundary Limits and Continuity Compact Sets The ArzelaAscoli Theorem Connected Sets The StoneWeierstrass Theorem Baire's Theorem
 Differentiation on Rn Definition of the Derivative Properties of the Differential Further Properties of the Derivative The Inverse Function Theorem The Implicit Function Theorem Higher Order Partial Derivatives Higher Order Differentials. Taylor's Theorem on Rn Optimization
 Lebesgue Measure on Rn Some General Measure Theory Lebesgue Outer Measure Lebesgue Measure Borel Sets Measurable Functions
 Lebesgue Integration on Rn Riemann Integration on Rn The Lebesgue Integral Convergence Theorems Connections with Riemann Integration Iterated Integrals Change of Variables
 Curves and Surfaces in Rn Parameterized Curves Integration on Curves Parameterized Surfaces mDimensional Surfaces
 Integration on Surfaces Differential Forms Integrals on Parameterized Surfaces Partitions of Unity Integration on mSurfaces The Fundamental Theorems of Calculus Closed Forms in Rn
 Appendices A Set Theory B Summary of Linear Algebra C Solutions to Selected Problems
 Bibliography Index.
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QA300 .J86 2015  Unknown 
44. Foundations of analysis [2015]
 Krantz, Steven G. (Steven George), 1951 author.
 Boca Raton, FL : CRC Press, 2015.
 Description
 Book — x, 301 pages : ill. ; 24 cm
 Summary

 Number Systems The Real Numbers The Complex Numbers
 Sequences Convergence of Sequences Subsequences Limsup and Liminf Some Special Sequences
 Series of Numbers Convergence of Series Elementary Convergence Tests Advanced Convergence Tests Some Special Series Operations on Series
 Basic Topology Open and Closed Sets Further Properties of Open and Closed Sets Compact Sets The Cantor Set Connected and Disconnected Sets Perfect Sets
 Limits and Continuity of Functions Basic Properties of the Limit of a Function Continuous Functions Topological Properties and Continuity Classifying Discontinuities and Monotonicity
 Differentiation of Functions The Concept of Derivative The Mean Value Theorem and Applications More on the Theory of Differentiation
 The Integral Partitions and the Concept of Integral Properties of the Riemann Integral Sequences and Series of Functions Convergence of a Sequence of Functions More on Uniform Convergence Series of Functions The Weierstrass Approximation Theorem
 Elementary Transcendental Functions Power Series More on Power Series: Convergence Issues The Exponential and Trigonometric Functions Logarithms and Powers of Real Numbers
 Appendix I: Elementary Number Systems
 Appendix II: Logic and Set Theory Table of Notation Glossary Bibliography Index.
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QA300 .K6445 2015  Unknown 
 Agresti, Alan, author.
 Hoboken, New Jersey : Wiley, [2015]
 Description
 Book — xiii, 444 pages : illustrations ; 25 cm.
 Summary

 Preface xi
 1 Introduction to Linear and Generalized Linear Models
 1
 1.1 Components of a Generalized Linear Model
 2
 1.2 Quantitative/Qualitative Explanatory Variables and Interpreting Effects
 6
 1.3 Model Matrices and Model Vector Spaces
 10
 1.4 Identifiability and Estimability
 13
 1.5 Example: Using Software to Fit a GLM
 15
 Chapter Notes
 20
 Exercises
 21
 2 Linear Models: Least Squares Theory
 26
 2.1 Least Squares Model Fitting
 27
 2.2 Projections of Data Onto Model Spaces
 33
 2.3 Linear Model Examples: Projections and SS Decompositions
 41
 2.4 Summarizing Variability in a Linear Model
 49
 2.5 Residuals Leverage and Influence
 56
 2.6 Example: Summarizing the Fit of a Linear Model
 62
 2.7 Optimality of Least Squares and Generalized Least Squares
 67
 Chapter Notes
 71
 Exercises
 71
 3 Normal Linear Models: Statistical Inference
 80
 3.1 Distribution Theory for Normal Variates
 81
 3.2 Significance Tests for Normal Linear Models
 86
 3.3 Confidence Intervals and Prediction Intervals for Normal Linear Models
 95
 3.4 Example: Normal Linear Model Inference
 99
 3.5 Multiple Comparisons: Bonferroni Tukey and FDR Methods
 107
 Chapter Notes
 111
 Exercises
 112
 4 Generalized Linear Models: Model Fitting and Inference
 120
 4.1 Exponential Dispersion Family Distributions for a GLM
 120
 4.2 Likelihood and Asymptotic Distributions for GLMs
 123
 4.3 LikelihoodRatio/Wald/Score Methods of Inference for GLM Parameters
 128
 4.4 Deviance of a GLM Model Comparison and Model Checking
 132
 4.5 Fitting Generalized Linear Models
 138
 4.6 Selecting Explanatory Variables for a GLM
 143
 4.7 Example: Building a GLM
 149
 Appendix: GLM Analogs of Orthogonality Results for Linear Models
 156
 Chapter Notes
 158
 Exercises
 159
 5 Models for Binary Data
 165
 5.1 Link Functions for Binary Data
 165
 5.2 Logistic Regression: Properties and Interpretations
 168
 5.3 Inference About Parameters of Logistic Regression Models
 172
 5.4 Logistic Regression Model Fitting
 176
 5.5 Deviance and Goodness of Fit for Binary GLMs
 179
 5.6 Probit and Complementary Log Log Models
 183
 5.7 Examples: Binary Data Modeling
 186
 Chapter Notes
 193
 Exercises
 194
 6 Multinomial Response Models
 202
 6.1 Nominal Responses: BaselineCategory Logit Models
 203
 6.2 Ordinal Responses: Cumulative Logit and Probit Models
 209
 6.3 Examples: Nominal and Ordinal Responses
 216
 Chapter Notes
 223
 Exercises
 223
 7 Models for Count Data
 228
 7.1 Poisson GLMs for Counts and Rates
 229
 7.2 Poisson/Multinomial Models for Contingency Tables
 235
 7.3 Negative Binomial GLMS
 247
 7.4 Models for ZeroInflated Data
 250
 7.5 Example: Modeling Count Data
 254
 Chapter Notes
 259
 Exercises
 260
 8 QuasiLikelihood Methods
 268
 8.1 Variance Inflation for Overdispersed Poisson and Binomial GLMs
 269
 8.2 BetaBinomial Models and QuasiLikelihood Alternatives
 272
 8.3 QuasiLikelihood and Model Misspecification
 278
 Chapter Notes
 282
 Exercises
 282
 9 Modeling Correlated Responses
 286
 9.1 Marginal Models and Models with Random Effects
 287
 9.2 Normal Linear Mixed Models
 294
 9.3 Fitting and Prediction for Normal Linear Mixed Models
 302
 9.4 Binomial and Poisson GLMMs
 307
 9.5 GLMM Fitting Inference and Prediction
 311
 9.6 Marginal Modeling and Generalized Estimating Equations
 314
 9.7 Example: Modeling Correlated Survey Responses
 319
 Chapter Notes
 322
 Exercises
 324
 10 Bayesian Linear and Generalized Linear Modeling
 333
 10.1 The Bayesian Approach to Statistical Inference
 333
 10.2 Bayesian Linear Models
 340
 10.3 Bayesian Generalized Linear Models
 347
 10.4 Empirical Bayes and Hierarchical Bayes Modeling
 351
 Chapter Notes
 357
 Exercises
 359
 11 Extensions of Generalized Linear Models
 364
 11.1 Robust Regression and Regularization Methods for Fitting Models
 365
 11.2 Modeling With Large p
 375
 11.3 Smoothing Generalized Additive Models and Other GLM Extensions
 378
 Chapter Notes
 386
 Exercises
 388
 Appendix A Supplemental Data Analysis Exercises
 391
 Appendix B Solution Outlines for Selected Exercises
 396
 References
 410
 Author Index
 427
 Example Index
 433
 Subject Index 435.
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QA299.8 .A37 2015  Unknown 
46. Fourier analysis and Hausdorff dimension [2015]
 Mattila, Pertti.
 Cambridge, UK : Cambridge University Press, 2015.
 Description
 Book — xiv, 440 p. : ill. ; 24 cm.
 Summary

 Preface Acknowledgements
 1. Introduction
 2. Measure theoretic preliminaries
 3. Fourier transforms
 4. Hausdorff dimension of projections and distance sets
 5. Exceptional projections and Sobolev dimension
 6. Slices of measures and intersections with planes
 7. Intersections of general sets and measures
 8. Cantor measures
 9. Bernoulli convolutions
 10. Projections of the fourcorner Cantor set
 11. Besicovitch sets
 12. Brownian motion
 13. Riesz products
 14. Oscillatory integrals (stationary phase) and surface measures
 15. Spherical averages and distance sets
 16. Proof of the WolffErdogan Theorem
 17. Sobolev spaces, Schrodinger equation and spherical averages
 18. Generalized projections of Peres and Schlag
 19. Restriction problems
 20. Stationary phase and restriction
 21. Fourier multipliers
 22. Kakeya problems
 23. Dimension of Besicovitch sets and Kakeya maximal inequalities
 24. (n, k) Besicovitch sets
 25. Bilinear restriction References List of basic notation Author index Subject index.
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QA403.5 .M385 2015  Unknown 
 Taheri, Ali, author.
 First edition.  Oxford : Oxford University Press, 2015.
 Description
 Book — 2 volumes (xv, 963 pages) : illustrations ; 25 cm.
 Summary

 1. Harmonic Functions and the MeanValue Property
 2. Poisson Kernels and Green's Representation Formula
 3. AbelPoisson and Fejer Means of Fourier Series
 4. Convergence of Fourier Series: Dini vs. DirichletJordon
 5. HarmonicHardy Spaces hp(D)
 6. Interpolation Theorems of Marcinkiewicz and RieszThorin
 7. The Hilbert Transform on Lp(T) and Riesz's Theorem
 8. HarmonicHardy Spaces hp(Bn)
 9. Convolution Semigroups The Poisson and Heat Kernels on Rn
 10. Perron's Method of SubHarmonic Functions
 11. From AbelPoisson to BochnerRiesz Summability
 12. Fourier Transform on S0(Rn) The HilbertSobolev spaces Hs(Rn).
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 13. Maximal Function Bounding Averages and Pointwise Convergence
 14. HarmonicHardy Spaces hp(H)
 15. Sobolev Spaces A Resolution of the Dirichlet Principle
 16. Singular Integral Operators and VectorValued Inequalities
 17. LittlewoodPaley Theory, LpMultipliers and Function Spaces
 18. Morrey and Campanato vs. Hardy and JohnNirenberg Spaces
 19. Layered Potentials, Jump Relations and Existence Theorems
 20. Second Order Equations in Divergence Form: Continuous Coefficients
 21. Second Order Equations in Divergence Form: Measurable Coefficients
 A. Partition of Unity
 B. Total Boundedness and Compact Subsets of Lp
 C. Gamma and Beta Functions
 D. Volume of the Unit nBall
 E. Integrals Related to Abel and Gauss Kernels
 F. Hausdorff Measures Hs
 G. Evaluation of Some Integrals Over
 H. Sobolev Spaces.
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QA377 .T25 2015 V.1  Unknown 
QA377 .T25 2015 V.2  Unknown 
 Conference on Function Spaces (7th : 2014 : Southern Illinois University at Edwardsville)
 Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — vii, 301 pages ; 26 cm.
 Summary

 On algebraic properties of the spectrum and spectral radius of elements in a unital algebra by M. Abel Automatic continuity of surjective homomorphisms between topological algebras by M. Abel Characterization of holomorphic and meromorphic functions via maximum principles by J. T. Anderson Hermitian operators on $\mathbf{H}^p_\mathcal{H}(\triangle^n)$ by F. Botelho and J. Jamison Some notions of transitivity for operator spaces by J. A. ChavezDominguez and T. Oikhberg Removability of exceptional sets for differentiable and Lipschitz functions by J. Craig, J. F. Feinstein, and P. Patrick Generalizing trigonometric functions from different points of view by D. E. Edmunds and J. Lang Partial $W^*$dynamical systems and their dilations by G. O. S. Ekhaguere Swiss cheeses and their applications by J. F. Feinstein, S. Morley, and H. Yang Isometries on the special unitary group by O. Hatori Amenability as a hereditary property in some algebras of vectorvalued functions by T. Hoim and D. A. Robbins Weighted norm inequalities for Hardy type operators on monotone functions by P. Jain, M. Singh, and A. P. Singh Norms on normal function algebras by K. Jarosz Maximally modulated singular integral operators and their applications to pseudodifferential operators on Banach function spaces by A. Yu. Karlovich Smoothness to the boundary of biholomorphic mappings: An overview by S. G. Krantz A multiplicative BanachStone theorem by K. Lee Weighted composition operators on weighted sequence spaces by D. M. Luan and L. H. Khoi Spectral isometries into commutative Banach algebras by M. Mathieu and M. Young Eigenvalues and eigenfunctions of the $p(\cdot)$Laplacian. A convergence analysis by O. Mendez Surjective isometries between function spaces by T. Miura Endomorphisms and the Silov representation by D. C. Moore The essential norm of operators on the Bergman space of vectorvalued functions on the unit ball by R. Rahm and B. D. Wick Trigonometric approximation of periodic functions belonging to weighted Lipschitz class $W(L^p, \Psi(t), \beta)$ by S. K. Srivastava and U. Singh Analytic structure of polynomial hulls by J. Wermer.
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QA323 .C66 2014  Unknown 
49. Handbook of enumerative combinatorics [2015]
 Boca Raton, FL : CRC Press, [2015]
 Description
 Book — xxiii, 1061 pages : illustrations ; 25 cm.
 Summary

 METHODS Algebraic and Geometric Methods in Enumerative Combinatorics Introduction What is a Good Answer? Generating Functions Linear Algebra Methods Posets Polytopes Hyperplane Arrangements Matroids Acknowledgments Analytic Methods Helmut Prodinger Introduction Combinatorial Constructions and Associated Ordinary Generating Functions Combinatorial Constructions and Associated Exponential Generating Functions Partitions and QSeries Some Applications of the Adding a Slice Technique Lagrange Inversion Formula Lattice Path Enumeration: The Continued Fraction Theorem Lattice Path Enumeration: The Kernel Method Gamma and Zeta Function Harmonic Numbers and Their Generating Functions Approximation of Binomial Coefficients Mellin Transform and Asymptotics of Harmonic Sums The MellinPerron Formula MellinPerron Formula: DivideandConquer Recursions Rice's Method Approximate Counting Singularity Analysis of Generating Functions Longest Runs in Words Inversions in Permutations and Pumping Moments Tree Function The Saddle Point Method Hwang's QuasiPower Theorem TOPICS Asymptotic Normality in Enumeration E. Rodney Canfield The Normal Distribution Method
 1: Direct Approach Method
 2: Negative Roots Method
 3: Moments Method
 4: Singularity Analysis Local Limit Theorems Multivariate Asymptotic Normality Normality in Service to Approximate Enumeration Trees Michael Drmota Introduction Basic Notions Generating Functions Unlabeled Trees Labeled Trees Selected Topics on Trees Planar maps Gilles Schaeffer What is a Map? Counting TreeRooted Maps Counting Planar Maps Beyond Planar Maps, an Even Shorter Account Graph Enumeration Marc Noy Introduction Graph Decompositions Connected Graphs with Given Excess Regular Graphs Monotone and Hereditary Classes Planar Graphs Graphs on Surfaces and Graph Minors Digraphs Unlabelled Graphs Unimodality, LogConcavity, RealRootedness and Beyond Petter Branden Introduction Probabilistic Consequences of RealRootedness Unimodality and GNonnegativity LogConcavity and Matroids Infinite LogConcavity The NeggersStanley Conjecture Preserving RealRootedness Common Interleavers Multivariate Techniques Historical Notes Words Dominique Perrin and Antonio Restivo Introduction Preliminaries Conjugacy Lyndon words Eulerian Graphs and De Bruijn Cycles Unavoidable Sets The BurrowsWheeler Transform The GesselReutenauer Bijection Suffix Arrays Tilings James Propp Introduction and Overview The Transfer Matrix Method Other Determinant Methods RepresentationTheoretic Methods Other Combinatorial Methods Related Topics, and an Attempt at History Some Emergent Themes Software Frontiers Lattice Path Enumeration Christian Krattenthaler Introduction Lattice Paths Without Restrictions Linear Boundaries of Slope
 1 Simple Paths with Linear Boundaries of Rational Slope, I Simple Paths with Linear Boundaries with Rational Slope, II Simple Paths with a Piecewise Linear Boundary Simple Paths with General Boundaries Elementary Results on Motzkin and Schroder Paths A continued Fraction for the Weighted Counting of Motzkin Paths Lattice Paths and Orthogonal Polynomials Motzkin Paths in a Strip Further Results for Lattice Paths in the Plane NonIntersecting Lattice Paths Lattice Paths and Their Turns Multidimensional Lattice Paths Multidimensional Lattice Paths Bounded by a Hyperplane Multidimensional Paths With a General Boundary The Reflection Principle in Full Generality QCounting Of Lattice Paths and RogersRamanujan Identities SelfAvoiding Walks Catalan Paths and q tenumeration James Haglund Introduction to qAnalogues and Catalan Numbers The q tCatalan Numbers Parking Functions and the Hilbert Series The q tSchroder Polynomial Rational Catalan Combinatorics Permutation Classes Vincent Vatter Introduction Growth Rates of Principal Classes Notions of Structure The Set of All Growth Rates Parking Functions Catherine H. Yan Introduction Parking Functions and Labeled Trees Many Faces of Parking Functions Generalized Parking Functions Parking Functions Associated with Graphs Final Remarks Standard Young Tableaux Ron Adin and Yuval Roichman Introduction Preliminaries Formulas for Thin Shapes Jeu de taquin and the RS Correspondence Formulas for Classical Shapes More Proofs of the Hook Length Formula Formulas for Skew Strips Truncated and Other NonClassical Shapes Rim Hook and Domino Tableaux qEnumeration Counting Reduced Words
 Appendix 1: Representation Theoretic Aspects
 Appendix 2: Asymptotics and Probabilistic Aspects Computer Algebra Manuel Kauers Introduction Computer Algebra Essentials Counting Algorithms Symbolic Summation The GuessandProve Paradigm Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Reference  
QA164 .H36 2015  Inlibrary use 
Stacks  
QA164 .H36 2015  Unknown 
 Cham : Birkhäuser, [2015]
 Description
 Book — xxvii, 717 pages : illustrations (chiefly color) ; 24 cm
 Summary

 Solvability of a Nonstationary Problem of RadiativeConductive Heat Transfer in a System of Semitransparent Bodies. The Nonstationary RadiativeConductive Heat Transfer Problem in a Periodic System of Grey Heat Shields. Semidiscrete and Asymptotic Approximations. A Mixed Impedance Scattering Problem for Partially Coated Obstacles in TwoDimensional Linear Elasticity. HalfLife Distribution Shift of Fission Products by Coupled FissionFusion Processes. DRBEM Simulation on Mixed Convection with Hydromagnetic Effect. Nonlinear Method of Reduction of Dimensionality Based on Artificial Neural Network and Hardware Implementation. On the Eigenvalues of a Biharmonic Steklov Problem. Shape Differentiability of the Eigenvalues of Elliptic Systems. Pollutant Dispersion in the Atmosphere: A Solution Considering Nonlocal Closure of Turbulent Diffusion. The Characteristic Matrix of Nonuniqueness for FirstKind Equations. On the Spectrum of Volume Integral Operators in Acoustic Scattering. Modeling and Implementation of Demand Dispatch Approach in a Smart MicroGrid. Harmonic Functions in a Domain with a Small Hole: A Functional Analytic Approach. Employing Eddy Diffusivities to Simulate the Contaminants Dispersion for a Shear DominatedStable Boundary Layer. Analysis of BoundaryDomain Integral Equations for VariableCoefficient Dirichlet BVP in 2D.Onset of SeparatedWaterLayer in ThreePhase Stratified Flow. An IntegroDifferential Equation for 1D Cell Migration. The MultiGroup Neutron Diffusion Equation in General Geometries Using the Parseval Identity. MultiGroup Neutron Propagation in Transport Theory by Space Asymptotic Methods. Infiltration in Porous Media: On the Construction of a Functional Solution Method for the Richards Equation. A SoftSensor Approach to Probability Density Function Estimation. Two Reasons Why Pollution Dispersion Modeling Needs Sesquilinear Forms. Correcting Terms for Perforated Media by Thin Tubes with Nonlinear Flux and Large Adsorption Parameters. A Finite Element Method For Deblurring Images. MultiParticle Collision Algorithm for Solving an Inverse Radiative Problem.Performance of a HigherOrder Numerical Method for Solving Ordinary Differential Equations by Taylor Series. Retinal Image Quality Assessment Using Shearlet Transform. The RadiativeConductive Transfer Equation in Cylinder Geometry and its Application to Rocket Launch Exhaust Phenomena. A Functional Analytic Approach to Homogenization Problems. Anisotropic Fundamental Solutions for Linear Elasticity and Heat Conduction Problems Based on a Crystalline Class Hierarchy Governed Decomposition Method. On a Model for Pollutant Dispersion in the Atmosphere with Partially Reflective Boundary Conditions. Asymptotic Approximations for Chemical Reactive Flows in Thick Fractal Junctions. BDIE System in the Mixed BVP for the Stokes Equations with Variable Viscosity CalderonZygmund Theory for SecondOrder Elliptic Systems on Riemannian Manifolds. The Regularity Problem in Rough Subdomains of Riemannian Manifolds. A Collocation Method Based on the Central Part Interpolation for Integral Equations. Evolutional Contact with Coulomb Friction on a Periodic Microstructure. Piecewise Polynomial Collocation for a Class of Fractional IntegroDifferential Equations. A Note on Transforming a Plane Strain FirstKind Fredholm Integral Equation into an Equivalent SecondKind Equation. Asymptotic Analysis of the Steklov Spectral Problem in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions. SemiAnalytical Solution for Torsion of a Micropolar Beam of Elliptic Cross Section. L1 Regularized Regression Modeling of Functional Connectivity. Automatic Separation of Retinal Vessels into Arteries and Veins Using Ensemble Learning. Study of Extreme Brazilian Meteorological Events. The Neutron Point Kinetics Equation: Suppression of Fractional Derivative Effects by Temperature Feedback. Comparison of Analytical and Numerical Solution Methods for the Point Kinetics Equation with Temperature Feedback Free of Stiffness. The Wind Meandering Phenomenon in an Eulerian Three Dimensional Model to Simulate the Pollutants Dispersion. Semilinear SecondOrder Ordinary Differential Equations: Distances Between Consecutive Zeros of Oscillatory Solutions. Oscillation Criteria for some ThirdOrder Linear Ordinary Differential Equations. Oscillation Criteria for some SemiLinear EmdenFowler ODE. Analytic Representation of the Solution of Neutron Kinetic Transport Equation in SlabGeometry Discrete Ordinates Formulation. New Constructions in the Theory of Elliptic Boundary Value Problems. Optimal Control of Partial Differential Equations by Means of Stackelberg Strategies: An Environmental Application. An Overview of the Modified BuckleyLeverett Equation. Influence of Stochastic Moments on the Solution of the Neutron Point Kinetics Equation. The Hamilton Principle for Mechanical Systems with Impacts and Unilateral Constraints. Numerical Solutions and Their Error Bounds for Oscillatory Neural Networks..
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA431 .I49 2015  Unknown 