Matrix Groups for Undergraduates by Kristopher Tapp

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Summary

Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigour and intuition to describe the basic objects of Lie theory.

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Matrix Groups for Undergraduates by Kristopher Tapp

Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigour and intuition to describe the basic objects of Lie theory.
This book offers a very nice introduction to the theory of matrix groups and their Lie algebrasThe background is kept to a minimum, only basics of calculus, linear algebra and group theory are assumed, while background on topology (of subsets of Euclidean space) is developed in the text. While the text gives complete and exact proofs, it is easy to read, appeals to intuition, and contains many pictures and helpful exercises." - A. Cap, Monatshefte für Mathematik"[T]he second edition is an expanded and improved version of the original. It can be strongly recommended for an undergraduate course in Lie groups, or as complementary reading for a course in group theory. Prerequisites are basic: knowledge of algebra, geometry, and analysis at an undergraduate level. Hence the book is suitable for a wide audience of readers who are meeting applications of group theory in other areas of mathematics and physics, or even further afield." - Alla S. Detinko, Mathematical Reviews"The author gives an inspiring presentation of the topics presented in this book." - Erich W. Ellers, Zentralblatt Math
Kristopher Tapp, Saint Joseph's University, Philadelphia, PA, USA.
SKU Unavailable
ISBN 13 9781470427221
ISBN 10 1470427222
Title Matrix Groups for Undergraduates
Author Kristopher Tapp
Series Student Mathematical Library
Condition Unavailable
Binding Type Paperback
Publisher American Mathematical Society
Year published 2016-04-30
Number of pages 239
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.