Undergraduate algebra [Documento eletrónico] : a unified approach / by Matej Brešar
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, Springer, 2019Description: XXIV, 316 p. : il.ISBN: 978-3-030-14053-3.Series: Springer Undergraduate Mathematics SeriesSubject - Topical Name: Associative rings | Associative algebras | Commutative algebra | Commutative rings | Algebraic fields | Polynomials | Group theory | Algebras, Linear Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA251.5.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 95407 |
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.
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