MAA Press: An Imprint of the American Mathematical Society
Problem Books
Volume: 29; 2018; 218 pp; Softcover
MSC: Primary 97;
Print ISBN: 978-1-4704-4349-8
A playful, readable, and thorough guide to precalculus, this book is directed at readers who would like a holistic look at the high school curriculum material on functions and their graphs. Tanton provides a coherent guided tour of exploration and discovery of a rich mathematical landscape. The exploration is presented through problems selected from the history of the Mathematical Association of America's American Mathematics Competition (AMC).
Secondary school teachers looking for supplementary and enrichment materials will find this a rich resource, which aligns with national curriculum standards. High school and college calculus and precalculus students will discover an approachable and thought-provoking review, preview, and overview of these central mathematical ideas. Students preparing for the AMC should find it especially helpful. Active reading, with pencil in hand, will result in a deep appreciation and understanding of the properties of functions.
James Tanton is the MAA's mathematician-at-large. A research mathematician with experience teaching at both the college and high school levels, he now works to encourage and aid all mathematics instructors to teach?and all mathematics students to learn?joyously and effectively.
Undergraduate students interested in teaching secondary mathematicis, high school-level contest problems, and math circles for teachers.
Contemporary Mathematics Volume: 713
2018; 233 pp; Softcover
MSC: Primary 05; 11; 14; 17; 20; 81;
Print ISBN: 978-1-4704-3696-4
This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12?13, 2016, at North Carolina State University, Raleigh, North Carolina.
The articles cover various aspects of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever?Novikov algebras, representations of quantum groups, and related topics.
Graduate students and research mathematicians interested in representation theory and Lie theory.
Contemporary Mathematics Volume: 714
2018; 303 pp; Softcover
MSC: Primary 15; 17; 20; 22; 32; 43; 53; 81;
Print ISBN: 978-1-4704-4070-1
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Olafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia.
The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.
Graduate students and research mathematicians interested in harmonic analysis, symmetric spaces, and operator algebras.
Graduate Studies in Mathematics Volume: 193
2018; 654 pp; Hardcover
MSC: Primary 16; 17; 20;
Print ISBN: 978-1-4704-3680-3
Representation theory investigates the different ways in which a given algebraic object?such as a group or a Lie algebra?can act on a vector space. Besides being a subject of great intrinsic beauty, the theory enjoys the additional benefit of having applications in myriad contexts outside pure mathematics, including quantum field theory and the study of molecules in chemistry.
Adopting a panoramic viewpoint, this book offers an introduction to four different flavors of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable and hopefully entice the reader to pursue research in representation theory.
The book is intended as a textbook for a course on representation theory, which could immediately follow the standard graduate abstract algebra course, and for subsequent more advanced reading courses. Therefore, more than 350 exercises at various levels of difficulty are included. The broad range of topics covered will also make the text a valuable reference for researchers in algebra and related areas and a source for graduate and postgraduate students wishing to learn more about representation theory by self-study.
Contemporary Mathematics Volume: 715
2018; 283 pp; Softcover
MSC: Primary 16; 06; 15;
Print ISBN: 978-1-4704-3555-4
This volume, dedicated to Bruno J. Muller, a renowned algebraist, is a collection of papers that provide a snapshot of the diversity of themes and applications that interest algebraists today.
The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed.
In addition, selected expository articles are included to give algebraists and other mathematicians, including graduate students, an accessible introduction to areas that may be outside their own expertise.
Graduate students and research mathematicians interested in abstract algebra, rings, and modules.