Authors:
- Provides a rigorous yet intuitive and accessible introduction to abstract algebra
- Treats conceptually similar themes from different areas of algebra in a unified manner
- Includes numerous examples and over 700 exercises
Part of the book series: Springer Undergraduate Mathematics Series (SUMS)
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Table of contents (7 chapters)
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Front Matter
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The Language of Algebra
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Front Matter
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Algebra in Action
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Front Matter
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Back Matter
About this book
This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition.
The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal ideal domains, and Galois theory.
Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.
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Authors and Affiliations
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Department of Mathematics, Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
Matej Brešar
About the author
Matej Brešar is a Professor at University of Ljubljana and University of Maribor. His research focus lies in noncommutative algebra and its applications. He is the author or co-author of over 160 research papers, the co-author of the monograph Functional Identities (Birkhauser, 2007), and the author of the graduate textbook Introduction to Noncommutative Algebra (Springer, 2014).
Bibliographic Information
Book Title: Undergraduate Algebra
Book Subtitle: A Unified Approach
Authors: Matej Brešar
Series Title: Springer Undergraduate Mathematics Series
DOI: https://doi.org/10.1007/978-3-030-14053-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-14052-6Published: 20 May 2019
eBook ISBN: 978-3-030-14053-3Published: 15 May 2019
Series ISSN: 1615-2085
Series E-ISSN: 2197-4144
Edition Number: 1
Number of Pages: XXIV, 316
Number of Illustrations: 17 b/w illustrations
Topics: Associative Rings and Algebras, Commutative Rings and Algebras, Field Theory and Polynomials, Group Theory and Generalizations, Linear Algebra