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Undergraduate Algebra: A Unified Approach

Undergraduate Algebra: A Unified Approach
Catalogue Information
Nome campo dettagli
Dewey Class 512.46
Titolo Undergraduate Algebra ([EBook]) : A Unified Approach / by Matej Brešar.
Autore Brešar, Matej
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2019.
Pubblicazione Cham : Springer International Publishing , 2019.
Physical Details XXIV, 316 pages, 17 illus. : online resource.
Serie Springer undergraduate mathematics series
ISBN 9783030140533
Summary Note 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.:
Contents note 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. .
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-14053-3
Link alle Opere Legate
  • Riferimenti soggetto: .
  • Algebra .
  • Algebras, Linear .
  • Associative rings .
  • Associative Rings and Algebras .
  • Commutative algebra .
  • Commutative rings .
  • Commutative Rings and Algebras .
  • Field theory (Physics) .
  • Group theory .
  • Rings (Algebra) .

  • Authors:
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    Catalogue Information 49854 Beginning of record . Catalogue Information 49854 Top of page .

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