Abstract Algebra

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A01=Gary L. Mullen
A01=James A. Sellers
abstract algebra
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Author_Gary L. Mullen
Author_James A. Sellers
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binary
Binary Hamming Code
Binary Linear Code
Category1=Non-Fiction
Category=PBF
Category=PBW
commutative
Commutative Ring
COP=United States
Coset Leaders
cryptographic applications
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Dickson Polynomial
Division Algorithm
domain
elementary number theory
eq_isMigrated=2
eq_nobargain
Euclidean Algorithm
field construction
Finite Field
finite fields
Form Vector Spaces
group theory basics
Hamming Code
integers
Integers Modulo
integral
Integral Domain
introductory algebra textbook for undergraduates
Irreducible Polynomial
Lagrange's Theorem
Lagrange’s Theorem
Language_English
Latin Squares
Linear Code
mathematical induction
matrix operations
modulo
Mol
Monic Irreducible Polynomials
Non-zero Element
number
numerous algebraic
operation
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Parity Check Matrix
Permutation Polynomial
Positive Integer
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real
ring
Ring Homomorphism
ring structures
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Vector Space

Product details

  • ISBN 9781482250060
  • Weight: 480g
  • Dimensions: 152 x 229mm
  • Publication Date: 20 Dec 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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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

Gary Mullen is Professor of Mathematics, The Pennsylvania State University, where he earned his Ph.D. His main interest is finite fields, and is founder of the journal "Finite Fields and Their Introduction." He is also the Editor of The Handbook of Finite Fields published by CRC Press.

James Sellers is Professor and Associate Head for Undergraduate Mathematics, The Pennsylvania State University, where he also earned his Ph.D. He has published many research articles and won awards related to his efforts to advance mathematics education.

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