A01=John Scherk
Abelian Group
abstract algebra foundations
advanced group theory
algebraic problem solving
Algebraic Relation
Author_John Scherk
Category=PBF
Category=UB
Category=UFM
Category=UY
Chinese Remainder Theorem
computational abstract algebra applications
computational mathematics
Conjugacy Class
Disjoint Transpositions
elementary
Elementary Symmetric Polynomials
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eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
Euclidean Algorithm
field
Finite Abelian Group
Finite Field
Finite Group
Frobenius Group
galois
Galois Group
Galois Theory
Greatest Common Divisor
group
irreducible
Irreducible Polynomial
Left Cosets
Linear Groups
Mathematica exercises
Minimal Polynomial
normal
Normal Subgroup
permutation
Permutation Groups
polynomial
Primitive 5th Root
Quadratic Extension
splitting
Splitting Field
subgroup
Sylow Theorem
Symmetry Groups
symmetry in mathematics
Product details
- ISBN 9781584880646
- Weight: 600g
- Dimensions: 156 x 234mm
- Publication Date: 23 Jun 2000
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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Adequate texts that introduce the concepts of abstract algebra are plentiful. None, however, are more suited to those needing a mathematical background for careers in engineering, computer science, the physical sciences, industry, or finance than Algebra: A Computational Introduction. Along with a unique approach and presentation, the author demonstrates how software can be used as a problem-solving tool for algebra.
A variety of factors set this text apart. Its clear exposition, with each chapter building upon the previous ones, provides greater clarity for the reader. The author first introduces permutation groups, then linear groups, before finally tackling abstract groups. He carefully motivates Galois theory by introducing Galois groups as symmetry groups. He includes many computations, both as examples and as exercises. All of this works to better prepare readers for understanding the more abstract concepts.
By carefully integrating the use of Mathematica® throughout the book in examples and exercises, the author helps readers develop a deeper understanding and appreciation of the material. The numerous exercises and examples along with downloads available from the Internet help establish a valuable working knowledge of Mathematica and provide a good reference for complex problems encountered in the field.
