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Contemporary Abstract Algebra 10th Edition by Joseph Gallian Hardcover Book

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ISBN-13
9780367651787
Book Title
Contemporary Abstract Algebra
ISBN
9780367651787
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
CRC Press LLC
ISBN-10
0367651785
ISBN-13
9780367651787
eBay Product ID (ePID)
20064615325

Product Key Features

Number of Pages
654 Pages
Publication Name
Contemporary Abstract Algebra 10e
Language
English
Subject
Algebra / Abstract, General, Algebra / General
Publication Year
2020
Type
Textbook
Subject Area
Mathematics
Author
Joseph Gallian
Series
Textbooks in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0 in
Item Weight
40.4 Oz
Item Length
0 in
Item Width
0 in

Additional Product Features

Edition Number
10
Intended Audience
College Audience
Reviews
"It has now been 35 years since Gallian's classic textbook Contemporary Abstract Algebra was first published. The book is deservedly popular with instructors of abstract algebra courses. It is written at an appropriate level for junior and senior undergraduates, has lucid coverage of all of the standard topics and several nonstandard ones (Frieze Groups and Crystallographic Groups, Coding Theory, Greek Geometric Construction Problems, etc), is example-driven, and contains thousands of exercises at various levels of difficulty. Moreover, every chapter begins with an interesting quote or two (by as diverse a group of people as Einstein, Miguel de Cervantes, Ralph Waldo Emerson, Bob Dylan, etc) and most conclude with a mini- biography of a mathematician whose work relates to the chapter's content. This is an interesting book that is a pleasure to read. According to the Preface, changes made for the tenth edition include: 1. Approximately 200 new exercises 2. Many new examples 3. New quotes 4. A freshening of the discussion portions" - Benjamin Linowitz, Oberlin College, Published in MAA
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, Tenth Edition 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 contemporary abstract algebra as 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. Applications are included to illustrate the utility of the abstract concepts. Examples and exercises are the heart of the book. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The exercises often foreshadow definitions, concepts, and theorems to come. Changes for the tenth edition include new exercises, new examples, new quotes, and a freshening of the discussion portions. 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, including computer exercises, that synthesize concepts from multiple chapters Approximately 300 worked-out examples from routine computations to the challenging 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 written by the author has comprehensive solutions for all exercises and some alternative solutions to develop a critical thought and deeper understanding. It is available from CRC Press only. The Student Solution Manual has comprehensive solutions for all odd-numbered exercises and many even-numbered exercises., CONTEMPORARY ABSTRACT ALGEBRA, TENTH EDITION is primarily intended for an abstract algebra course whose main purpose is to enable students to do computations and write proofs., Now in it's Tenth Edition, we acquire this course-market leader from Cengage US. Through the first nine editions, this has become the leading seller for the undergraduate Abstract Algebra course worldwide. The rollover potential alone is nearly 10,000 copies and might be more. Abstract Algebra is taught at every four year college and university with a mathematics department throughout the world. There are two primary audiences, mathematics majors and education majors hoping to teach. Both take this course, often together. * Best-seller in US, Canada, ROW * Author is now famous for this book, very active in US mathematics organizations including AMS and former president of MAA. * Book is known for motivational exposition, excellent and thorough exercises (much more than typically found in CRC textbooks), and alternative solutions to promote a range of approaches * Best seller since 3-4 edition * The full list of reviews since publication is well into the hundreds.
LC Classification Number
QA162.G34 2020

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