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Since Introduction to Abstract Algebra first appeared in 1986, it has been continuously improved to better serve its users. In this new edition, the authors have refined and expanded the basic concepts in the text in light of advances in the areas of algebra and algebraic structures. New material includes alternative definitions for the field of rationals, computer arithmetic, ring theory, and the theory of vector spaces, as well as many more interactive examples. This edition also features two new sections on Galois theory and projective geometry, and a new project to produce a freely available, interactive online teaching edition.

Given the dramatic changes to the undergraduate algebra curriculum in the US over the past decade, Introduction to Abstract Algebra has proved to be a useful tool for teachers and students of mathematics and computer science over a number of years. This edition, the fourth in a series, presents an integrated, tutorial-style presentation of the basic concepts and tools of abstract algebra. This book makes it easy for students to learn the basic theory of groups, fields, and rings as well as two-dimensional vector spaces, Galois theory, and projective geometry.

The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book’s unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text.

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Abstract Algebra An Introduction 3rd Edition 2014 PDFAbstract Algebra An Introduction 3rd 39

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