000			02999nam a22002417a 4500
005			20190125154519.0
008			181016b xxu||||| |||| 00| 0 eng d
020			_a9780486474175
028			_aAtlantic Publishers & Distributors (P)Ltd. _b;7/22,Ansari Road ,Darya Ganj ,New Delhi-110002 _c;1084286 _d;15/01/2019
082			_a512.02 PIN
100			_aCharles C Pinter
245			_aA book of abstract algebra _c/Charles C Pinter
260			_aMineola, New York _b: Dover Publications _c, 2010.
300			_axiv, 384 pages _b: illustrations _c; 22 cm
365			_b1010
490			_aDover books on mathematics.
505			_a Why Abstract Algebra -- Operations -- The Definition of Groups -- Elementary Properties of Groups -- Subgroups -- Functions -- Groups of Permutations -- Permutations of a Finite Set -- Isomorphism -- Order of Group Elements -- Cyclic Groups -- Partitions and Equivalence Relations -- Counting Cosets -- Homomorphism -- Quotient Groups -- The Fundamental Homomorphism Theorem -- Rings: Definitions and Elementary Properties -- Ideals and Homomorphism -- Quotient Rings -- Integral Domains -- The Integers -- Factoring into Primes -- Elements of Number Theory (Optional) -- Rings of Polynomials -- Factoring Polynomials -- Substitution in Polynomials -- Extensions of Fields -- Vector Spaces -- Degrees of Field Extensions -- Ruler and Compass -- Galois Theory: Preamble -- Galois Theory: The Heart of the Matter -- Solving Equations by Radicals -- Appendix A: Review of Set Theory -- Appendix B: Review of the Integers -- Appendix C: Review of Mathematical Induction ; Answers to Selected Exercises.
520			_aAccessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability
650			_aMathematics
655			_aAlgebra, Abstract
700			_aCharles C Pinter
942			_cBOOK
999			_c50340 _d50340