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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 13,90 €
28,88 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-14053-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 18,71 €
36,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-14052-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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)
  • Glossary of Basic Algebraic Structures

    Pages 3-48

    Brešar, Matej

  • Examples of Groups and Rings

    Pages 49-89

    Brešar, Matej

  • Homomorphisms

    Pages 91-128

    Brešar, Matej

  • Quotient Structures

    Pages 129-170

    Brešar, Matej

  • Commutative Rings

    Pages 173-222

    Brešar, Matej

Buy this book

eBook 13,90 €
28,88 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-14053-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 18,71 €
36,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-14052-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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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