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Undergraduate algebra = a unified ap...

Bresar, Matej.

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Undergraduate algebra = a unified approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Undergraduate algebra/ by Matej Bresar.
其他題名:	a unified approach /
作者:	Bresar, Matej.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xxiv, 316 p. :ill., digital ;24 cm.
內容註:	Preface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index.
Contained By:	Springer eBooks
標題:	Algebra. -
電子資源:	https://doi.org/10.1007/978-3-030-14053-3
ISBN:	9783030140533

Undergraduate algebra = a unified approach /
Bresar, Matej.

Undergraduate algebraa unified approach /[electronic resource] :by Matej Bresar. - Cham :Springer International Publishing :2019. - xxiv, 316 p. :ill., digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..

Preface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index.

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.

ISBN: 9783030140533

Standard No.: 10.1007/978-3-030-14053-3doiSubjects--Topical Terms:

516203
Algebra.

LC Class. No.: QA152.3 / .B743 2019

Dewey Class. No.: 512

Undergraduate algebra = a unified approach /
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505 0 $a Preface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index.
520 $a 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.
650 0 $a Algebra. $3 516203
650 1 4 $a Associative Rings and Algebras. $3 897405
650 2 4 $a Commutative Rings and Algebras. $3 891076
650 2 4 $a Field Theory and Polynomials. $3 891077
650 2 4 $a Group Theory and Generalizations. $3 893889
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