Student Mathematical Library� e AMS undergraduate series, the Student Mathematical Library, includes books that will spark students’ interests in modern mathe-matics and increase their appreciation for research. Books published in the series emphasize original topics and approaches. � e step from mathematical coursework to mathematical research is one of the most important developments in a mathematician’s career. To make the transition successfully, the student must be motivated and interested in doing mathematics rather than merely learning it. � ese books are suitable for honors courses, upper-division semi-nars, reading courses, or self-study.

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A User-Friendly Introduction to Lebesgue Measure and IntegrationGail S. Nelson, Carleton College, Northfield, MN

This book provides a bridge between an undergradu-ate course in Real Analysis and a first graduate-level course in Measure Theory and Integration.

Student Mathematical Library, Volume 78; 2015; 221 pages; Softcover; ISBN: 978-1-4704-2199-1; List US$49; All indi-viduals US$39.20; Order code STML/78

Differential GeometryCurves — Surfaces — Manifolds, Third EditionWolfgang Kühnel, University of Stuttgart, Germany

This third edition introduces readers to the ideas and results of differential geometry through many figures, examples, and problems.

Student Mathematical Library, Volume 77; 2015; 403 pages; Softcover; ISBN: 978-1-4704-2320-9; List US$49; All indi-viduals US$39.20; Order code STML/77

Winding AroundThe Winding Number in Topology, Geometry, and AnalysisJohn Roe, Pennsylvania State University, State College, PA

The winding number is one of the most basic invariants in topology. This book is dedicated o its applications.

Student Mathematical Library, Volume 76; 2015; 269 pages; Softcover; ISBN: 978-1-4704-2198-4; List US$49; All indi-viduals US$39.20; Order code STML/76

Mathematics++Selected Topics Beyond the Basic CoursesIda Kantor, Charles University, Prague, Czech Republic, Jirí Matoušek, Charles University, Prague, Czech Republic, and ETH, Zurich, Switzerland, and Robert Šámal, Charles University, Prague, Czech Republic

This book is a concise introduction to measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology.

Student Mathematical Library, Volume 75; 2015; 343 pages; Softcover; ISBN: 978-1-4704-2261-5; List US$49; All individuals US$39.20; Order code STML/75

QuandlesAn Introduction to the Algebra of KnotsMohamed Elhamdadi, University of South Florida, Tampa, FL, and Sam Nelson, Claremont McKenna College, CA

This book provides an accessible introduction to quandle theory for readers with a background in linear algebra.

Student Mathematical Library, Volume 74; 2015; 245 pages; Softcover; ISBN: 978-1-4704-2213-4; List US$49; All

individuals US$39.20; Order code STML/74

Ramsey Theory on the IntegersSecond EditionBruce M. Landman, University of West Georgia, Carrollton, GA, and Aaron Robertson, Colgate University, Hamilton, NY

A new edition of the first cohesive study of Ramsey theory on the integers.

Student Mathematical Library, Volume 73; 2014; 384 pages; Softcover; ISBN: 978-0-8218-9867-3; List US$61; All indi-viduals US$48.80; Order code STML/73

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