Algebra: A Computational Introduction / Edition 1

Algebra: A Computational Introduction / Edition 1

by John Scherk
ISBN-10:
1584880643
ISBN-13:
9781584880646
Pub. Date:
06/23/2000
Publisher:
Taylor & Francis
ISBN-10:
1584880643
ISBN-13:
9781584880646
Pub. Date:
06/23/2000
Publisher:
Taylor & Francis
Algebra: A Computational Introduction / Edition 1

Algebra: A Computational Introduction / Edition 1

by John Scherk
$160.0
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Overview

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.

Product Details

ISBN-13: 9781584880646
Publisher: Taylor & Francis
Publication date: 06/23/2000
Series: Studies in Advanced Mathematics , #32
Edition description: New Edition
Pages: 336
Product dimensions: 6.12(w) x 9.19(h) x (d)

About the Author

John Scherk

Table of Contents

Congruences. Permutations. Permutation Groups. Linear Groups. Groups. Subgroups. Symmetry Groups. Group Actions. Counting Formulas. Cosets. Sylow Subgroups. Simple Groups. Abelian Groups. Polynomial Rings. Symmetric Polynomials. Roots of Equations. Galois Groups. Quartics. The General Equation of the nth Degree. Solution by Radicals. Ruler-and-Compass Constructions. Appendix: Mathematica Commands.
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