Contemporary Abstract Algebra
Autor Joseph Gallianen Limba Engleză Hardback – 2016
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Specificații
ISBN-13: 9781305657960
ISBN-10: 1305657969
Pagini: 656
Dimensiuni: 171 x 251 x 2 mm
Greutate: 0.95 kg
Ediția:9. Auflage
Editura: CENGAGE LEARNING INC
ISBN-10: 1305657969
Pagini: 656
Dimensiuni: 171 x 251 x 2 mm
Greutate: 0.95 kg
Ediția:9. Auflage
Editura: CENGAGE LEARNING INC
Cuprins
1 Introduction to Groups2 Groups3 Finite Groups; Subgroups4 Cyclic Groups5 Permutation Groups6 Ismorphisms7 Cosets and Lagrange's Theorem8 External Direct Products9 Normal Subgroups and Factor Groups10 Group Homomorphisms11 Fundamental Theorem of Finite Abelian Groups12 Introduction to Rings13 Integral Domains14 Ideals and Factor Rings15 Ring Homomorphisms16 Polynomial Rings17 Factorization of Polynomials18 Divisibilty in Integral Domains19 Extension Fields20 Algebraic Extensions21 Finite Fields22 Geometric Constructions23 Sylow Theorems24 Finite Simple Groups25 Generators and Relations26 Symmetry Groups27 Symmetry and Counting28 Cayley Digraphs of Groups29 Introduction to Algebraic Coding Theory30 An Introduction to Galois Theory31 Cyclotomic Extensions
Notă biografică
Joseph A. Gallian earned his PhD from Notre Dame. In addition to receiving numerous national awards for his teaching and exposition, he has served terms as the second vice president and president of the Mathematical Association of America, published more than100 articles, and authored six books. Numerous articles about his work have appeared in national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others.
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Contemporary Abstract Algebra, 11e stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject which is currently being used by working physicists, chemists, and computer scientists.
Contemporary Abstract Algebra, 11e stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject which is currently being used by working physicists, chemists, and computer scientists.