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Undergraduate Algebra
A Unified Approach
Taschenbuch von Matej Bre¿ar
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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).

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2019
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 340
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xxiv
316 S.
17 s/w Illustr.
316 p. 17 illus.
ISBN-13: 9783030140526
ISBN-10: 3030140520
Sprache: Englisch
Herstellernummer: 978-3-030-14052-6
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bre¿ar, Matej
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 19 mm
Von/Mit: Matej Bre¿ar
Erscheinungsdatum: 20.05.2019
Gewicht: 0,517 kg
preigu-id: 115342514
Über den Autor

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).

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2019
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 340
Reihe: Springer Undergraduate Mathematics Series
Inhalt: xxiv
316 S.
17 s/w Illustr.
316 p. 17 illus.
ISBN-13: 9783030140526
ISBN-10: 3030140520
Sprache: Englisch
Herstellernummer: 978-3-030-14052-6
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Bre¿ar, Matej
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer Undergraduate Mathematics Series
Maße: 235 x 155 x 19 mm
Von/Mit: Matej Bre¿ar
Erscheinungsdatum: 20.05.2019
Gewicht: 0,517 kg
preigu-id: 115342514
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