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 Guionnet, Alice, author.
 [Providence, RI] : American Mathematical Society, [2019]
 Description
 Book — vii, 143 pages ; 26 cm.
 Summary

 Introduction The example of the GUE Wigner random matrices Betaensembles Discrete betaensembles Continuous betamodels: The several cut case Several matrixensembles Universality for betamodels Bibliography Index.
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QA196.5 .G85 2019  Unavailable In process Request 
2. Discrete Painlevé equations [2019]
 Joshi, Nalini, author.
 [Providence, Rhode Island] : American Mathematical Society, [2019]
 Description
 Book — vi, 146 pages : illustrations ; 26 cm.
 Summary

 Introduction A dynamical systems approach Initial value spaces Foliated initial value spaces Cremona mappings Asymptotic analysis Lax pairs RiemannHilbert problems Foliations and vector bundles Projective spaces Reflection groups Lists of discretePainleve equations Asymptotics of discrete equations Bibliography Index.
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QA1 .R33 NO.131  Unavailable In process Request 
 Landsberg, J. M., author.
 [Providence, Rhode Island] : American Mathematical Society, [2019]
 Description
 Book — ix, 144 pages : illustrations ; 25 cm.
 Summary

 Basics: Motivation, first definitions and properties Tensors via linear algebra: Rank and border rank Tensor networks The asymptotic geometry of tensors: Detour into probability and information theory Strassen's laser method and spectral theory Quantum mechanics for quantum information theory Quantum information theory and the asymptotic geometry of tensors Moment maps and moment polytopes Hints and answers to selected exercises Bibliography Index.
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QA1 .R33 NO.132  Unavailable In process Request 
 Li, W. C. Winnie (WenChing Winnie), author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2019]
 Description
 Book — vii, 95 pages : illustrations ; 26 cm.
 Summary

 Number theoretic zeta and $L$functions The Selberg zeta function $L$functions in geometry The Ihara zeta function Spectral graph theory Explicit constructions of Ramanujan graphs Artin $L$functions and prime distributions for graphs Zeta and $L$functions of complexes Bibliography Index.
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QA1 .R33 NO.129  Unknown 
 Jørgensen, Palle E. T., 1947 author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2018]
 Description
 Book — xi, 266 pages : illustrations ; 26 cm.
 Summary

 Introduction. Smooth vs the nonsmooth categories Spectral pair analysis for IFSs Harmonic analyses on fractals, with an emphasis on iterated function systems (IFS) measures Four kinds of harmonic analysis Harmonic analysis via representations of the Cuntz relations $\textit{ Positive definite functions }$ and kernel analysis Representations of $\textit{Lie groups}$. Noncommutative harmonic analysis Bibliography Index.
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QA1 .R33 NO.128  Unknown 
6. Introduction to the theory of valuations [2018]
 Alesker, Semyon, 1972 author.
 [Providence, RI] : American Mathematical Society, [2018]
 Description
 Book — vi, 83 pages : illustrations ; 26 cm.
 Summary

 Basic definitions and examples McMullen's decomposition theorem Valuations on the line McMullen's description of $(n1)$homogeneous valuations The KlainSchneider characterization of simple valuations Digression on the theory of generalized functions on manifolds The GoodeyWeil imbedding Digression on vector bundles The irreducibility theorem Further developments Bibliography.
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QA1 .R33 NO.126  Unknown 
 Lin, Huaxin, 1956 author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2017]
 Description
 Book — vi, 240 pages ; 26 cm.
 Summary

 An overview of the Elliott programAn introduction to the Basic Homotopy LemmaMaps to finite dimensional $C^*$algebrasStable homotopy lemmasThe Basic Homotopy Lemma, finite dimensional cases$C^*$algebras of generalized tracial rank oneMore Basic Homotopy LemmasAsymptotic unitary equivalenceClassification of simple $C^*$algebras of finite rankBibliographyIndex.
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QA1 .R33 NO.124  Unknown 
 Kenig, Carlos E., 1953 author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, with support from the National Science Foundation, [2015]
 Description
 Book — xiii, 161 pages ; 26 cm.
 Summary

 The local theory of the Cauchy problem The "road map": The concentration compactness/rigidity theorem method for critical problems I The "road map": The concentration compactness/rigidity theorem method for critical problems II Properties of compact solutions and some more rigidity theorems, with applications to an extension of Theorem 2.6 Proof of the rigidity theorems Type II blowup solutions Channels of energy and outer energy lower bounds Universal type II blowup profiles Soliton resolution for radial solutions to (NLW), I Soliton resolution for radial solutions to (NLW), II Soliton resolution for radial solutions to (NLW), III Bibliography.
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QA1 .R33 NO.122  Unknown 
9. Rudiments of Ramsey theory [2015]
 Graham, Ronald L., 1935 author.
 Second edition.  Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2015]
 Description
 Book — ix, 82 pages : illustrations ; 25 cm.
 Summary

 * Introduction* Three views of Ramsey theory* Ramsey's theorem van der Waerden's theorem* The HalesJewett theorem* Szemeredi's theorem* Graph Ramsey theory* Euclidean Ramsey theory* A general Ramsey product theorem* The theorems of Schur, Folkman, and Hindman* Rado's theorem* Current trends* Bibliography.
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QA1 .R33 NO.123  Unknown 
 Khoshnevisan, Davar, author.
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — viii, 116 pages : illustrations ; 26 cm.
 Summary

 Prelude
 Wiener integrals
 A linear heat equation
 WalshDamang integrals
 A nonlinear heat equation
 Intermezzo: A parabolic Anderson model
 Intermittency
 Intermittency fronts
 Intermittency islands
 Correlation length
 Appendix A: Some special integrals
 Appendix B: A BurkholderDavisGundy inequality
 Appendix C: Reguarity theory.
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QA1 .R33 NO.119  Unknown 
11. Ergodic theory and fractal geometry [2014]
 Furstenberg, Harry, author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2014]
 Description
 Book — ix, 69 pages : illustrations ; 26 cm.
 Summary

 Introduction to fractals Dimension Trees and fractals Invariant sets Probability trees Galleries Probability trees revisited Elements of ergodic theory Galleries of trees General remarks on Markov systems Markov operator $\mathcal{T}$ and measure preserving transformation $T$ Probability trees and galleries Ergodic theorem and the proof of the main theorem An application: The $k$lane property Dimension and energy Dimension conservation Ergodic theorem for sequences of functions Dimension conservation for homogeneous fractals: The main steps in the proof Verifying the conditions of the ergodic theorem for sequences of functions Bibliography Index.
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QA1 .R33 NO.120  Unknown 
 Lectures. Selections
 Markl, Martin, 1960 author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2012]
 Description
 Book — ix, 129 pages : illustrations ; 26 cm.
 Summary

This book brings together both the classical and current aspects of deformation theory. The presentation is mostly selfcontained, assuming only basic knowledge of commutative algebra, homological algebra and category theory. In the interest of readability, some technically complicated proofs have been omitted when a suitable reference was available. The relation between the uniform continuity of algebraic maps and topologized tensor products is explained in detail, however, as this subject does not seem to be commonly known and the literature is scarce. The exposition begins by recalling Gerstenhaber's classical theory for associative algebras. The focus then shifts to a homotopyinvariant setup of MaurerCartan moduli spaces. As an application, Kontsevich's approach to deformation quantization of Poisson manifolds is reviewed. Then, after a brief introduction to operads, a strongly homotopy Lie algebra governing deformations of (diagrams of) algebras of a given type is described, followed by examples and generalizations.
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QA1 .R33 NO.116  Unknown 
 Cakoni, Fioralba.
 Philadelphia, PA : Society for Industrial and Applied Mathematics, c2011.
 Description
 Book — x, 138 p. : ill. ; 26 cm.
 Summary

 Preface
 1. Inverse scattering in two dimensions
 2. Maxwell's equations
 3. The inverse problem for obstacles
 4. The inverse scattering problem for anisotropic media
 5. The inverse scattering problem for thin objects
 6. The inverse scattering problem for buried objects Bibliography Index.
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QC20.7 .S3 C35 2011  Unknown 
 NSFCBMS Conference Topology, C*algebras, and String Duality (2009 : Texas Christian University)
 Providence, R.I. : American Mathematical Society, c2010.
 Description
 Book — xiii, 249 p. ; 26 cm.
 Summary

 Functoriality of Rieffel's generalised fixedpoint algebras for proper actions / Astrid An Huef, Iain Raeburn, and Dana P. Williams
 Twists of Ktheory and TMF / Matthew Ando, Andrew J. Blumberg, and David Gepner
 Division algebras and supersymmetry I / John C. Baez and Joh Huerta
 Khomology and dbranes / Paul Baum
 RiemannRoch and index formulae in twisted Ktheory / Alan L. Carey and BaiLing Wang
 Noncommutative principal torus bundles via parametrised strict deformation quantization / Keith C. Hannabuss and Varghese Mathai
 A survey of noncommutative YangMills theory for quantum Heisenberg manifolds / Sooran Kang
 From rational homotopy to Ktheory for continuous trace algebras / John R. Klein, Claude L. Schochet, and Samuel B. Smith
 Distances between matrix algebras that converge to coadjoint orbits / Marc A. Rieffel
 Geometric and topological structures related to Mbranes / Hisham Sati
 LandauGinzburg models, Gerbes, and Kuznetsov's homological projective duality / Eric Sharpe.
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QA1 .A626 V.81  Unknown 
15. Fundamentals of radar imaging [2009]
 Cheney, Margaret, 1955
 Philadelphia : Society for Industrial and Applied Methematics, c2009.
 Description
 Book — xxiv, 140 p. : ill. (some col.), maps ; 25 cm.
 Summary

 List of figures List of tables Preface Part I. Radar Basic:
 1. Introduction
 2. Radar systems
 3. Introduction to scattering
 4. Detection of signals in noise
 5. The radar ambiguity function Part II. Radar Imaging:
 6. Wave propagation in two and three dimensions
 7. Inverse syntheticaperture radar
 8. Antennas
 9. Syntheticaperture radar
 10. Related techniques
 11. Open problems Bibliography Index.
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TK6575 .C476 2009  Unknown 
16. Topology, C*algebras, and string duality [2009]
 Rosenberg, Jonathan M. (Jonathan Micah), 1951
 Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c2009.
 Description
 Book — viii, 110 p. : ill. ; 26 cm.
 Summary

String theory is the leading candidate for a physical theory that combines all the fundamental forces of nature, as well as the principles of relativity and quantum mechanics, into a mathematically elegant whole. The mathematical tools used by string theorists are highly sophisticated, and cover many areas of mathematics. As with the birth of quantum theory in the early 20th century, the mathematics has benefited at least as much as the physics from the collaboration. In this book, based on CBMS lectures given at Texas Christian University, Rosenberg describes some of the most recent interplay between string dualities and topology and operator algebras. The book is an interdisciplinary approach to duality symmetries in string theory. It can be read by either mathematicians or theoretical physicists, and involves a moreorless equal mixture of algebraic topology, operator algebras, and physics. There is also a bit of algebraic geometry, especially in the last chapter. The reader is assumed to be somewhat familiar with at least one of these four subjects, but not necessarily with all or even most of them. The main objective of the book is to show how several seemingly disparate subjects are closely linked with one another, and to give readers an overview of some areas of current research, even if this means that not everything is covered systematically.
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QA1 .R33 NO.111  Unknown 
17. Complex graphs and networks [2006]
 NSFCBMS Regional Research Conference on the Combinatorics of Large Sparse Graphs (2004 : California State University)
 Providence, R.I. : American Mathematical Society, c2006.
 Description
 Book — vii, 264 p. : ill. (some col.) ; 26 cm.
 Summary

 Graph theory in the information age Old and new concentration inequalities A generative modelthe preferential attachment scheme Duplication models for biological networks Random graphs with given expected degrees The rise of the giant component Average distance and the diameter Eigenvalues of the adjacency matrix of $G(\mathbf{w})$ The semicircle law for $G(\mathbf{w})$ Coupling online and offline analyses of random graphs The configuration model for power law graphs The small world phenomenon in hybrid graphs Bibliography Index.
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QA1 .R33 NO.107  Unknown 
 Tao, Terence, 1975
 Providence, R.I. : American Mathematical Society, c2006.
 Description
 Book — xv, 373 p. : ill. ; 26 cm.
 Summary

 Ordinary differential equations Constant coefficient linear dispersive equations Semilinear dispersive equations The Korteweg de Vries equation Energycritical semilinear dispersive equations Wave maps Tools from harmonic analysis Construction of ground states Bibliography.
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QA1 .R33 NO.106  Unknown 
19. The mathematical education of teachers [2001  ]
 Providence, R.I. : American Mathematical Society, in cooperation with Mathematical Association of America, Washington, D.C., c2001
 Description
 Book — v. ; 26 cm.
 Summary

 Part 1: Changing expectations, new realizations General recommendations Recommendations for elementary teacher preparation Recommendations for middle grades teacher preparation Recommendations for high school teacher preparation Recommendations for technology in teacher preparation Relevant reports
 Part 2: The preparation of elementary teachers The preparation of middle grades teachers The preparation of high school teachers.
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QA13 .M1515 2001  Unknown 
QA13 .M1515 2001 V.2  Unknown 
 Kenig, Carlos E., 1953
 Providence, R.I. : published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1994.
 Description
 Book — xii, 146 p. : ill. ; 26 cm.
 Summary

 Introduction Divergence form elliptic equations Some classes of examples and their perturbation theory Epilogue: Some further results and open problems References.
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QA1 .R33 NO.83  Unknown 