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 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 
23. 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 
24. 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
 Online
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QA299.6 .A423 2015  Unknown 
26. 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 
27. 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 
28. 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 
29. 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 
36. 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 
37. 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 
38. 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
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QA427 .L68 2015  Unknown 
40. 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 