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 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  Inlibrary use New books shelf Request 
 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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(source: Nielsen Book Data) 9781470448806 20181210
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QA1 .R33 NO.128  Unknown 
3. 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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(source: Nielsen Book Data) 9781470443597 20180806
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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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(source: Nielsen Book Data) 9781470434908 20170925
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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 
6. 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 
8. 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 
12. 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 
13. 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 
14. 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 
16. 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 
18. Research in collegiate mathematics education [1994  ]
 Providence, R.I. : American Mathematical Society ; Washington, D.C. : Mathematical Association of America, c1994
 Description
 Book — v. : ill. ; 26 cm.
 Summary

 Teaching mathematical problem solving: An analysis of an emergent classroom community by A. Arcavi, L. Meira, J. P. Smith III, and C. Kessel On the implementation of mathematical problem solving instruction: Qualities of some learning activities by M. SantosTrigo Reflections on a course in mathematical problem solving by A. H. Schoenfeld A crosssectional investigation of the development of the function concept by M. P. Carlson Honors students' calculus understandings: Comparing calculus&mathematica and traditional calculus students by D. E. Meel Supplementary methods for assessing student performance on a standardized test in elementary algebra by A. Baranchik and B. Cherkas Students' proof schemes: Results from exploratory studies by G. Harel and L. Sowder Students' use of diagrams to develop proofs in an introductory analysis course by D. Gibson Questions regarding the teaching and learning of undergraduate mathematics (and research thereon) by A. Selden and J. Selden.
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 Some notes on the enterprise (research in collegiate mathematics education, that is) by A. H. Schoenfeld Students, functions, and the undergraduate curriculum by P. W. Thompson On understanding how students learn to visualize function transformations by T. Eisenberg and T. Dreyfus Three approaches to undergraduate calculus instruction: Their nature and potential impact on students' language use and sources of conviction by S. Frid A comparison of the problem solving performance of students in lab based and traditional calculus by J. Bookman and C. P. Friedman An efficacy study of the calculus workshop model by M. V. Bonsangue The case of Dan: Student construction of a functional situation through visual attributes by S. Monk and R. Nemirovsky The effect of the graphing calculator on female students' spatial visualization skills and levelofunderstanding in elementary graphing and algebra concepts by M. M. ShoafGrubbs To the right of the "decimal" point: Preservice teachers' concepts of place value and multidigit structures by R. Zazkis and H. Khoury Twenty questions about research on undergraduate mathematics education by L. A. Steen.
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 Firstyear undergraduates' difficulties in working with different uses of variable by M. Trigueros and S. Ursini Cooperative learning in calculus reform: What have we learned? by A. Herzig and D. T. Kung Calculus reform and traditional students' use of calculus in an engineering mechanics course by C. Roddick Primary intuitions and instruction: The case of actual infinity by P. Tsamir Student performance and attitudes in courses based on APOS theory and the ACE teaching cycle by K. Weller, J. M. Clark, E. Dubinsky, S. Loch, M. A. McDonald, and R. R. Merkovsky Models and theories of mathematical understanding: Comparing Pirie and Kieren's model of the growth of mathematical understanding and APOS theory by D. E. Meel The nature of learning in interactive technological environments: A proposal for a research agenda based on grounded theory by J. Bookman and D. Malone.
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 A framework for research and curriculum development in undergraduate mathematics education by M. Asiala, A. Brown, D. J. DeVries, E. Dubinsky, D. Mathews, and K. Thomas The creation of continuous exponents: A study of the methods and epistemology of John Wallis by D. Dennis and J. Confrey Dihedral groups: A tale of two interpretations by R. Zazkis and E. Dubinsky To major or not major in mathematics? Affective factors in the choiceofmajor decision by A. R. Leitze Success in mathematics: Increasing talent and gender diversity among college majors by M. C. Linn and C. Kessel Analysis of effectiveness of supplemental instruction (SI) sessions for college algebra, calculus, and statistics by S. L. Burmeister, P. A. Kenney, and D. L. Nice A comparative study of a computerbased and a standard college firstyear calculus course by K. Park and K. J. Travers Differential patterns of guessing and omitting in mathematics placement testing by A. Baranchik and B. Cherkas A perspective on mathematical problemsolving expertise based on the performances of male Ph.D. mathematicians by T. C. DeFranco Questions on new trends in the teaching and learning of mathematics: The Oberwolfach Conference,
 27 November1 December, 1995.
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The field of research in collegiate mathematics education has grown rapidly over the past twentyfive years. Many people are convinced that improvement in mathematics education can only come with a greater understanding of what is involved when a student tries to learn mathematics and how pedagogy can be more directly related to the learning process. Today there is a substantial body of work and a growing group of researchers addressing both basic and applied issues of mathematics education at the collegiate level.This volume is testimony to the growth of the field. The intention is to publish volumes on this topic annually, doing more or less as the level of growth dictates. The introductory articles, survey papers, and current research that appear in this first issue convey some aspects of the state of the art. The book is aimed at researchers in collegiate mathematics education and teachers of collegelevel mathematics courses who may find ideas and results that are useful to them in their practice of teaching, as well as the wider community of scholars interested in the intellectual issues raised by the problem of learning mathematics.
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This fifth volume of "Research in Collegiate Mathematics Education" (RCME) presents stateoftheart research on understanding, teaching, and learning mathematics at the postsecondary level. The articles in RCME are peerreviewed for two major features: advancing our understanding of collegiate mathematics education, and readability by a wide audience of practicing mathematicians interested in issues affecting their own students. This is not a collection of scholarly arcana, but a compilation of useful and informative research regarding the ways our students think about and learn mathematics.The volume begins with a study from Mexico of the crosscutting concept of variable followed by two studies dealing with aspects of calculus reform. The next study frames its discussion of students' conceptions of infinite sets using the psychological work of Efraim Fischbein on (mathematical) intuition. This is followed by two papers concerned with APOS theory and other frameworks regarding mathematical understanding. The final study provides some preliminary results on student learning using technology when lessons are delivered via the Internet. Whether specialists in education or mathematicians interested in finding out about the field, readers will obtain new insights about teaching and learning and will take away ideas they can use.
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The field of research in collegiate mathematics education has grown rapidly over the past twentyfive years. Many people are convinced that improvement in mathematics education can only come with a greater understanding of what is involved when a student tries to learn mathematics and how pedagogy can be more directly related to the learning process. Today there is a substantial body of work and a growing group of researchers addressing both basic and applied issues of mathematics education at the collegiate level.This second volume in "Research in Collegiate Mathematics Education" begins with a paper that attends to methodology and closes with a list of questions. The leadoff paper describes a distinctive approach to research on key concepts in the undergraduate mathematics curriculum. This approach is distinguished from others in several ways, especially its integration of research and instruction. The papers in this volume exhibit a large diversity in methods and purposes, ranging from historical studies, to theoretical examinations of the role of gender in mathematics education, to practical evaluations of particular practices and circumstances. As in RCME I, this volume poses a list of questions to the reader related to undergraduate mathematics education. The eighteen questions were raised at the first Oberwolfach Conference in Undergraduate Mathematics Education, which was held in the fall of 1995, and are related to both research and curriculum.
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QA11 .R47 1994 V.1  Available 
QA11 .R47 1994 V.2  Available 
QA11 .R47 1994 V.3  Available 
QA11 .R47 1994 V.4  Available 
QA11 .R47 1994 V.5  Available 
QA11 .R47 1994 V.6  Available 
QA11 .R47 1994 V.7  Available 
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QA11 .R47 1994 V.1  Unknown 
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QA11 .R47 1994 V.6  Unknown 
QA11 .R47 1994 V.7  Unknown 
19. Geometric analysis and function spaces [1993]
 Krantz, Steven G. (Steven George), 1951
 Providence, R.I. : American Mathematical Society, 1993.
 Description
 Book — 202 p.
 Summary

 Complex geometry and applications Function spaces and real analysis concepts References Index.
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QA1 .R33 NO.81  Unknown 
 Formanek, Edward, 1942
 Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1991.
 Description
 Book — v, 57 p. : ill. ; 26 cm.
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QA1 .R33 NO.78  Unknown 