Undergraduate algebra : a unified approach /
Bresar, Matej
Undergraduate algebra : a unified approach / Matej Bresar - AG Springer 2019 - 316 p.
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 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.
9783030140526
Algebra
Algebras, Linear
Field theory (Physics)
Group theory
512 BRE-M
Undergraduate algebra : a unified approach / Matej Bresar - AG Springer 2019 - 316 p.
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 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.
9783030140526
Algebra
Algebras, Linear
Field theory (Physics)
Group theory
512 BRE-M