Algebra: A Computational Introduction by John Scherk
Download Algebra: A Computational Introduction by John Scherk PDF book free online – 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 book 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. It first introduces permutation groups, then linear groups, before finally tackling abstract groups. It then carefully motivates Galois theory by introducing Galois groups as symmetry groups.
The book 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.
About the Author(s)
- Victor Shoup is an Associate Professor at The Courant Institute of Mathematical Sciences at New York University.