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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
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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 