[PDF] Basic Abstract Algebra by Robert B. Ash Book Free Download

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Basic Abstract Algebra by Robert B. Ash Book
Basic Abstract Algebra by Robert B. Ash Book

Basic Abstract Algebra

Download Basic Abstract Algebra by Robert B. Ash Book Geared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while keeping the proofs as brief and clear as possible.

The early chapters provide students with background by investigating the basic properties of groups, rings, fields, and modules. Later chapters examine the relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of algebraic number theory, algebraic geometry, noncommutative algebra, and homological algebra, including categories and functors. An extensive supplement to the text delves much further into homological algebra than most introductory texts, offering applications-oriented results. Solutions to all problems appear in the text

“Basic Abstract Algebra by Robert B. Ash Book Free Download”

Basic Abstract Algebra by Robert B. Ash Book
Basic Abstract Algebra by Robert B. Ash Book

Book Details:

Category
Abstract Algebra
Language English
File Type PDF
PDF Pages 309
Author Robert B. Ash
File Size & Downloads Size 2.3 MiB

Table Of Content:

Chapter 1 Group Fundamentals

Chapter 2 Ring Fundamentals

Chapter 3 Field Fundamentals

Chapter 4 Module Fundamentals

Enrichment

Chapter 5 Some Basic Techniques of Group Theory

Chapter 6 Galois Theory

Chapter 7 Introducing Algebraic Number Theory

Chapter 8 Introducing Algebraic Geometry

Chapter 9 Introducing Noncommutative Algebra

Chapter 10 Introducing Homological Algebra

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