Undergraduate Algebra A Unified Approach /

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 L...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Brešar, Matej (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Springer Undergraduate Mathematics Series,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Undergraduate Algebra  |h [electronic resource] :  |b A Unified Approach /  |c by Matej Brešar. 
250 |a 1st ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2019. 
300 |a XXIV, 316 p. 17 illus.  |b online resource. 
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490 1 |a Springer Undergraduate Mathematics Series,  |x 1615-2085 
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 Associative rings. 
650 0 |a Rings (Algebra). 
650 0 |a Commutative algebra. 
650 0 |a Commutative rings. 
650 0 |a Algebra. 
650 0 |a Field theory (Physics). 
650 0 |a Group theory. 
650 0 |a Algebras, Linear. 
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650 2 4 |a Commutative Rings and Algebras.  |0 http://scigraph.springernature.com/things/product-market-codes/M11043 
650 2 4 |a Field Theory and Polynomials.  |0 http://scigraph.springernature.com/things/product-market-codes/M11051 
650 2 4 |a Group Theory and Generalizations.  |0 http://scigraph.springernature.com/things/product-market-codes/M11078 
650 2 4 |a Linear Algebra.  |0 http://scigraph.springernature.com/things/product-market-codes/M11100 
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