A First Course in Abstract Algebra, 7th Edition pdf epub mobi txt 电子书 下载 2024


A First Course in Abstract Algebra, 7th Edition

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John B. Fraleigh
Addison Wesley
2002-11-16
590
USD 132.00
Hardcover
9780201763904

图书标签: 数学  代数  Abstract_Algebra  教材  抽代  textbook   


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发表于2024-11-25

A First Course in Abstract Algebra, 7th Edition epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

A First Course in Abstract Algebra, 7th Edition epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

A First Course in Abstract Algebra, 7th Edition pdf epub mobi txt 电子书 下载 2024



图书描述

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.

A First Course in Abstract Algebra, 7th Edition 下载 mobi epub pdf txt 电子书

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A First Course in Abstract Algebra, 7th Edition pdf epub mobi txt 电子书 下载
想要找书就要到 小哈图书下载中心
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

用户评价

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Math 113 Introduction to Abstract Algebra...

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verbose...But it is easy to read.

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比较适合零基础,想了解抽象代数的非数学专业人士阅读学习

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verbose...But it is easy to read.

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最流行的代数a first course教材之一,行文像母亲般细致体贴;但我更喜欢M. Artin的风格

读后感

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