Undergraduate Algebra

A Unified Approach

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book Undergraduate Algebra by Matej Brešar, Springer International Publishing
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Author: Matej Brešar ISBN: 9783030140533
Publisher: Springer International Publishing Publication: May 15, 2019
Imprint: Springer Language: English
Author: Matej Brešar
ISBN: 9783030140533
Publisher: Springer International Publishing
Publication: May 15, 2019
Imprint: Springer
Language: English

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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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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