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Resumo
Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures.
Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat’s and Euler’s Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gröbner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra
For all readers interested in abstract algebra.
Primeira linha
You are aware of the use of mathematics in everything from balancing your checkbook to modeling biological, physical, and social situations.
Detalhes
- Título A First Course in Abstract Algebra
- Autor John Fraleigh
- Encadernação Capa dura
- Edição 7th Edition
- Páginas 544
- Volumes 1
- Idioma ENG
- Editorial Pearson, India
- Data de publicação November 6, 2002
- Ilustrado Sim
- Features Bibliography, Illustrated, Index
- ISBN 9780201763904 / 0201763907
- Peso 1.9 libras (0.86 kg)
- Dimensão 9.3 x 7.7 x 0.9 in. (23.62 x 19.56 x 2.29 cm)
- Library of Congress subjects Algebra, Abstract
- Número da Biblioteca do Congresso dos Estados Unidos 2002019357
- Dewey Decimal Code 512.02
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A First Course in Abstract Algebra, 7th Edition
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Pearson, 2002-11-16. Softcover. New. ***International Edition***Soft cover/Paperback*** Textbook printed in English. ***Brand New***. Most international edition has different ISBN and Cover design. Some book may show sales disclaimer such as "Not for Sale or Restricted in US" on the cover page but it is absolutely legal to use. All textbook arrives within 5-7business days. Please provides valid phone number with your order with easy delivery.
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A First Course in Abstract Algebra, 7th Edition
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A First Course in Abstract Algebra, 7th Edition
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Addison Wesley, 2002. Hardcover. Good. Good Softcover. International Edition. Different cover, same text. Some edgewear. One page is taped. Some smmudges. Tight binding.
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A First Course in Abstract Algebra, 7th Edition
por Fraleigh, John
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Pearson, 2002-11-06. Hardcover. Good. Textbook, May Have Highlights, Notes and/or Underlining, BOOK ONLY-NO ACCESS CODE, NO CD, Ships with Tracking
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A First Course in Abstract Algebra, 7th Edition
por Fraleigh, John
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Pearson, 2002-11-06. Hardcover. New. New. In shrink wrap. Looks like an interesting title!
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FIRST COURSE IN ABSTRACT ALGEBRA, 7TH EDITION
por FRALEIGH JOHN B.
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INTERNATIONAL EDITION. Brand New. Brand New,Softcover,International Edition,Cover & ISBN may be different. But Contents are same as US Edition.Printed in English Language, we do not ship APO, PO Box Address.
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