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＜電子ブック＞
Undergraduate Algebra : A Unified Approach / by Matej Brešar
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XXIV, 316 p. 17 illus : online resource
著者標目	*Brešar, Matej author SpringerLink (Online service)
件　名	LCSH:Associative rings LCSH:Associative algebras LCSH:Commutative algebra LCSH:Commutative rings LCSH:Algebraic fields LCSH:Polynomials LCSH:Group theory LCSH:Algebras, Linear FREE:Associative Rings and Algebras FREE:Commutative Rings and Algebras FREE:Field Theory and Polynomials FREE:Group Theory and Generalizations FREE:Linear Algebra
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-14053-3

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