Contemporary Abstract Algebra

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Personalized
No
Educational Level
Adult & Further Education
Country/Region of Manufacture
United States
ISBN
9781032778914
Category

About this product

Product Identifiers

Publisher
CRC Press LLC
ISBN-10
1032778911
ISBN-13
9781032778914
eBay Product ID (ePID)
25071436494

Product Key Features

Number of Pages
542 Pages
Publication Name
Contemporary Abstract Algebra
Language
English
Publication Year
2025
Subject
Algebra / Abstract, General, Algebra / General
Type
Textbook
Author
Joseph Gallian
Subject Area
Mathematics
Series
Textbooks in Mathematics Ser.
Format
Hardcover

Dimensions

Item Weight
30.4 Oz
Item Length
9.4 in
Item Width
6.4 in

Additional Product Features

Edition Number
11
Intended Audience
College Audience
LCCN
2024-037804
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
512/.02
Table Of Content
1 Introduction to Groups 2 Groups 3 Finite Groups; Subgroups 4 Cyclic Groups 5 Permutation Groups 6 Ismorphisms 7 Cosets and Lagrange's Theorem 8 External Direct Products 9 Normal Subgroups and Factor Groups 10 Group Homomorphisms 11 Fundamental Theorem of Finite Abelian Groups 12 Introduction to Rings 13 Integral Domains 14 Ideals and Factor Rings 15 Ring Homomorphisms 16 Polynomial Rings 17 Factorization of Polynomials 18 Divisibilty in Integral Domains 19 Extension Fields 20 Algebraic Extensions 21 Finite Fields 22 Geometric Constructions 23 Sylow Theorems 24 Finite Simple Groups 25 Generators and Relations 26 Symmetry Groups 27 Symmetry and Counting 28 Cayley Digraphs of Groups 29 Introduction to Algebraic Coding Theory 30 An Introduction to Galois Theory 31 Cyclotomic Extensions
Synopsis
Contemporary Abstract Algebra, Eleventh Edition is intended for a course whose main purpose is to enable students to do computations and write proofs. This text stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject, which is currently being used by working physicists, chemists, and computer scientists. For nearly four decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging. Students will learn how to do computations and write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop, but rarely do. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The hallmark features of previous editions of the book are enhanced in this edition. These include: A good mixture of approximately 1900 computational and theoretical exercises appearing in each chapter that synthesizes concepts from multiple chapters Back-of-the-book skeleton solutions and hints to odd-numbered exercises Over 300 worked-out examples ranging from routine computations to the more challenging Links to interactive True/False questions with comments Links to computer exercises that utilize interactive software available on the author's website, stressing guessing and making conjectures Many applications from scientific and computing fields, as well as some from everyday life Numerous historical notes and biographies that spotlight the people and events behind the mathematics Motivational and humorous quotations Hundreds of figures, photographs, and tables Changes to the eleventh edition include new exercises, examples, biographies, and quotes, and an enrichment of the discussion portions. These changes accentuate and enhance the hallmark features that have made previous editions of the book a comprehensive, lively, and engaging introduction to the subject. While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor's Solutions Manual offers solutions for all the exercises. A Student's Solution Manual has comprehensive solutions for all odd-numbered exercises, many even-numbered exercises, and numerous alternative solutions as well., Contemporary Abstract Algebra , 11e stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject which is currently being used by working physicists, chemists, and computer scientists., Contemporary Abstract Algebra , Eleventh Edition is intended for a course whose main purpose is to enable students to do computations and write proofs. This text stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject, which is currently being used by working physicists, chemists, and computer scientists. For nearly four decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging. Students will learn how to do computations and write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop, but rarely do. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The hallmark features of previous editions of the book are enhanced in this edition. These include: A good mixture of approximately 1900 computational and theoretical exercises appearing in each chapter that synthesizes concepts from multiple chapters Back-of-the-book skeleton solutions and hints to odd-numbered exercises Over 300 worked-out examples ranging from routine computations to the more challenging Links to interactive True/False questions with comments Links to computer exercises that utilize interactive software available on the author's website, stressing guessing and making conjectures Many applications from scientific and computing fields, as well as some from everyday life Numerous historical notes and biographies that spotlight the people and events behind the mathematics Motivational and humorous quotations Hundreds of figures, photographs, and tables Changes to the eleventh edition include new exercises, examples, biographies, and quotes, and an enrichment of the discussion portions. These changes accentuate and enhance the hallmark features that have made previous editions of the book a comprehensive, lively, and engaging introduction to the subject. While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor's Solutions Manual offers solutions for all the exercises. A Student's Solution Manual has comprehensive solutions for all odd-numbered exercises, many even-numbered exercises, and numerous alternative solutions as well., CONTEMPORARY ABSTRACT ALGEBRA , ELEVENTH EDITION is intended for a course whose main purpose is to enable students to do computations and write proofs. This text stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject which is currently being used by working physicists, chemists, and computer scientists. For more than three decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging. The author presents the concepts and methodologies of used by working mathematicians, computer scientists, physicists, and chemists. Students will learn how to do computations and to write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop but rarely do. This new edition is streamlined. The 10th edition had 26 new examples, 330 new exercises, a few new theorems, and a substantial, number of minor modifications to the explanatory material, discussion text, and proofs. We have omitted suggested readings, references, biographies, etc that tally to 56 pages less. A number of corrections were also made for this edition. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The hallmark features of previous editions of the book are enhanced in this edition. These include: A good mixture of approximately 1900 exercises. Approximately 300 worked-out examples Many applications from scientific and computing fields and everyday life. Historical notes and biographies that spotlight people and events. Motivational and humorous quotations. Numerous connections to number theory and geometry. While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor's Solutions Manual offers solutions for all the exercises. The Student Solution Manual has comprehensive solutions for all odd-numbered exercises and many even-numbered exercises and is well-loved for alternative solutions as well., CONTEMPORARY ABSTRACT ALGEBRA , 11e stresses the importance of obtaining a solid introduction to the traditional topics, while at the same time presenting abstract algebra as a contemporary and very much active subject which is currently being used by working physicists, chemists, and computer scientists
LC Classification Number
QA162.G34 2017

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