Introduction to Abstract Algebra, Third Edition

Introduction to Abstract Algebra, Third Edition PDF Author: T.A. Whitelaw
Publisher: Routledge
ISBN: 1351437291
Category : Mathematics
Languages : en
Pages : 260

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Book Description
The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.

Introduction to Abstract Algebra, Third Edition

Introduction to Abstract Algebra, Third Edition PDF Author: T.A. Whitelaw
Publisher: Routledge
ISBN: 1351437305
Category : Mathematics
Languages : en
Pages : 256

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Book Description
The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.

Abstract Algebra

Abstract Algebra PDF Author: Thomas W. Hungerford
Publisher: Brooks Cole
ISBN:
Category : Mathematics
Languages : en
Pages : 616

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Book Description


Abstract Algebra

Abstract Algebra PDF Author: John A. Beachy
Publisher: Waveland Press
ISBN: 1478638974
Category : Mathematics
Languages : en
Pages : 541

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Book Description
Highly regarded by instructors in past editions for its sequencing of topics and extensive set of exercises, the latest edition of Abstract Algebra retains its concrete approach with its gentle introduction to basic background material and its gradual increase in the level of sophistication as the student progresses through the book. Abstract concepts are introduced only after a careful study of important examples. Beachy and Blair’s clear narrative presentation responds to the needs of inexperienced students who stumble over proof writing, who understand definitions and theorems but cannot do the problems, and who want more examples that tie into their previous experience. The authors introduce chapters by indicating why the material is important and, at the same time, relating the new material to things from the student’s background and linking the subject matter of the chapter to the broader picture. The fourth edition includes a new chapter of selected topics in group theory: nilpotent groups, semidirect products, the classification of groups of small order, and an application of groups to the geometry of the plane. Students can download solutions to selected problems here.

Introduction to Abstract Algebra

Introduction to Abstract Algebra PDF Author: W. Keith Nicholson
Publisher: John Wiley & Sons
ISBN: 1118311736
Category : Mathematics
Languages : en
Pages : 560

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Book Description
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH 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. The Fourth Edition features important concepts as well as specialized topics, including: The treatment of nilpotent groups, including the Frattini and Fitting subgroups Symmetric polynomials The proof of the fundamental theorem of algebra using symmetric polynomials The proof of Wedderburn's theorem on finite division rings The proof of the Wedderburn-Artin theorem Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises. Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.

Abstract Algebra

Abstract Algebra PDF Author: David S. Dummit
Publisher: Wiley
ISBN: 9780470386286
Category : Mathematics
Languages : en
Pages : 944

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Book Description
Abstract Algebra, 4th Edition is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings.

Introduction to Abstract Algebra

Introduction to Abstract Algebra PDF Author: Jonathan D. H. Smith
Publisher: CRC Press
ISBN: 1498731627
Category : Mathematics
Languages : en
Pages : 353

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Book Description
Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups.This new edition of a widely adopted textbook covers

Introduction to Linear Algebra, 2nd edition

Introduction to Linear Algebra, 2nd edition PDF Author: T.A. Whitelaw
Publisher: CRC Press
ISBN: 9780751401592
Category : Mathematics
Languages : en
Pages : 290

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Book Description
This popular textbook was thoughtfully and specifically tailored to introducing undergraduate students to linear algebra. The second edition has been carefully revised to improve upon its already successful format and approach. In particular, the author added a chapter on quadratic forms, making this one of the most comprehensive introductory texts on linear algebra.

An Introduction to Abstract Algebra

An Introduction to Abstract Algebra PDF Author: Derek J.S. Robinson
Publisher: Walter de Gruyter
ISBN: 3110198169
Category :
Languages : en
Pages : 293

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Book Description
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe.

A Book of Abstract Algebra

A Book of Abstract Algebra PDF Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Advanced Modern Algebra

Advanced Modern Algebra PDF Author: Joseph J. Rotman
Publisher: American Mathematical Soc.
ISBN: 1470423111
Category : Mathematics
Languages : en
Pages : 570

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Book Description
This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.