Undergraduate algebra : a unified approach / Matej Brešar.

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Undergraduate algebra : a unified approach / Matej Brešar.

9783030140533 (electronic book)
3030140539 (electronic book)
3030140520
9783030140526

Cham : Springer, ©2019.

English

1 online resource

10.1007/978-3-030-14

QA152.3 .B74 2019

512

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 integral 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.

Includes index.

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Description based on online resource; title from digital title page (viewed on June 19, 2019).

Springer undergraduate mathematics series.

Print version 9783030140526

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