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Abstract Algebra: A Gentle Introduction by Gary L Mullen: New
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Item specifics
- Condition
- Book Title
- Abstract Algebra: A Gentle Introduction
- Publication Date
- 2016-12-20
- Pages
- 204
- ISBN
- 9781482250060
- Subject Area
- Mathematics
- Publication Name
- Abstract Algebra : a Gentle Introduction
- Publisher
- CRC Press LLC
- Item Length
- 9.5 in
- Subject
- Algebra / Abstract, General, Algebra / General, Applied
- Publication Year
- 2016
- Series
- Textbooks in Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.8 in
- Item Weight
- 16 Oz
- Item Width
- 6.4 in
- Number of Pages
- 204 Pages
About this product
Product Information
Abstract Algebra: A Gentle Introduction advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from the 'everything for everyone' approach so common in textbooks. Instead, they provide the reader with coverage of numerous algebraic topics to cover the most important areas of abstract algebra. Through a careful selection of topics, supported by interesting applications, the authors Intend the book to be used for a one-semester course in abstract algebra. It is suitable for an introductory course in for mathematics majors. The text is also very suitable for education majors who need to have an introduction to the topic. As textbooks go through various editions and authors employ the suggestions of numerous well-intentioned reviewers, these book become larger and larger and subsequently more expensive. This book is meant to counter that process. Here students are given a "gentle introduction," meant to provide enough for a course, yet also enough to encourage them toward future study of the topic. Features Groups before rings approach Interesting modern applications Appendix includes mathematical induction, the well-ordering principle, sets, functions, permutations, matrices, and complex nubers. Numerous exercises at the end of each section Chapter "Hint and Partial Solutions" offers built in solutions manual
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
1482250063
ISBN-13
9781482250060
eBay Product ID (ePID)
219685978
Product Key Features
Number of Pages
204 Pages
Language
English
Publication Name
Abstract Algebra : a Gentle Introduction
Publication Year
2016
Subject
Algebra / Abstract, General, Algebra / General, Applied
Type
Textbook
Subject Area
Mathematics
Series
Textbooks in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.8 in
Item Weight
16 Oz
Item Length
9.5 in
Item Width
6.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
2016-027853
Dewey Edition
23
Reviews
As the subtitle implies, those seeking a standard undergraduate text in abstract algebra should look elsewhere. The authors provide readers with a very brief introduction to some of the central structures of algebra: groups, rings, fields, and vector spaces. As an example of the text¿s brevity, its treatment of groups consists of definitions, examples, and a discussion of subgroups and cosets that culminates in LaGrange¿s theorem. There is no mention of group homomorphisms, normal subgroups, or quotient groups. Nonetheless, various applications of the subject not often addressed in traditional texts are treated within this work. It appears that the intent is to provide enough content for readers to comprehend these applications. Just enough elementary number theory is presented to allow a discussion of the RSA cryptosystem. Sufficient material on finite fields is given for a discussion of Latin squares and the Diffie-Hellman public key exchange. Adequate linear algebra topics foster a discussion of Hamming codes. This text will be suitable for an algebra-based course introducing students to abstract mathematical thought or an algebra course with an emphasis on applications. --D. S. Larson, Gonzaga University, Choice magazine 2016, As the subtitle implies, those seeking a standard undergraduate text in abstract algebra should look elsewhere. The authors provide readers with a very brief introduction to some of the central structures of algebra: groups, rings, fields, and vector spaces. As an example of the text'e(tm)s brevity, its treatment of groups consists of definitions, examples, and a discussion of subgroups and cosets that culminates in LaGrange'e(tm)s theorem. There is no mention of group homomorphisms, normal subgroups, or quotient groups. Nonetheless, various applications of the subject not often addressed in traditional texts are treated within this work. It appears that the intent is to provide enough content for readers to comprehend these applications. Just enough elementary number theory is presented to allow a discussion of the RSA cryptosystem. Sufficient material on finite fields is given for a discussion of Latin squares and the Diffie-Hellman public key exchange. Adequate linear algebra topics foster a discussion of Hamming codes. This text will be suitable for an algebra-based course introducing students to abstract mathematical thought or an algebra course with an emphasis on applications. --D. S. Larson, Gonzaga University, Choice magazine 2016 scussion of Hamming codes. This text will be suitable for an algebra-based course introducing students to abstract mathematical thought or an algebra course with an emphasis on applications. --D. S. Larson, Gonzaga University, Choice magazine 2016, As the subtitle implies, those seeking a standard undergraduate text in abstract algebra should look elsewhere. The authors provide readers with a very brief introduction to some of the central structures of algebra: groups, rings, fields, and vector spaces. As an example of the text'e(tm)s brevity, its treatment of groups consists of definitions, examples, and a discussion of subgroups and cosets that culminates in LaGrange'e(tm)s theorem. There is no mention of group homomorphisms, normal subgroups, or quotient groups. Nonetheless, various applications of the subject not often addressed in traditional texts are treated within this work. It appears that the intent is to provide enough content for readers to comprehend these applications. Just enough elementary number theory is presented to allow a discussion of the RSA cryptosystem. Sufficient material on finite fields is given for a discussion of Latin squares and the Diffie-Hellman public key exchange. Adequate linear algebra topics foster a discussion of Hamming codes. This text will be suitable for an algebra-based course introducing students to abstract mathematical thought or an algebra course with an emphasis on applications. --D. S. Larson, Gonzaga University, Choice magazine 2016
Illustrated
Yes
Dewey Decimal
512.02
Lc Classification Number
Qa162
Table of Content
Elementary Number Theory Divisibility Primes and factorization Congruences Solving congruences Theorems of Fermat and Euler RSA cryptosystem Groups Definition of a group Examples of groups Subgroups Cosets and Lagrange's Theorem Rings Definition of a ring Subrings and ideals Ring homomorphisms Integral domains Fields Definition and basic properties of a field Finite Fields Number of elements in a finite field How to construct finite fields Properties of finite fields Polynomials over finite fields Permutation polynomials Applications Orthogonal latin squares Die/Hellman key exchange Vector Spaces De nition and examples Basic properties of vector spaces Subspaces Polynomials Basics Unique factorization Polynomials over the real and complex numbers Root formulas Linear Codes Basics Hamming codes Encoding Decoding Further study Exercises Appendix Mathematical induction Well-ordering Principle Sets Functions Permutations Matrices Complex numbers Hints and Partial Solutions to Selected Exercises
Copyright Date
2017
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