Springer Undergraduate Mathematics Series

Undergraduate Algebra

A Unified Approach

Authors: Brešar, Matej

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  • 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
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eBook $34.99
price for USA in USD
  • ISBN 978-3-030-14053-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • Immediate eBook download after purchase and usable on all devices
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Softcover $44.99
price for USA in USD
About this Textbook

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.

About the authors

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). 

Reviews

 “This book can be also used by incoming graduate students to refresh their knowledge of Algebra before taking graduate courses. I highly recommend this book for a standard undergraduate algebra course, as well as to students interested in independent study.” (Louisa Catalano, MAA Reviews, July 21, 2019)


 

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $34.99
price for USA in USD
  • ISBN 978-3-030-14053-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover $44.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Undergraduate Algebra
Book Subtitle
A Unified Approach
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-14053-3
DOI
10.1007/978-3-030-14053-3
Softcover ISBN
978-3-030-14052-6
Series ISSN
1615-2085
Edition Number
1
Number of Pages
XXIV, 316
Number of Illustrations
17 b/w illustrations
Topics