Studies in Advanced Mathematics

Name: Studies in Advanced Mathematics
Brand: CHAPMAN & HALL
Price: 254.75 AUD
Availability: BackOrder

A Computational Introduction

By: John Scherk

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Hardcover | 23 June 2000 | Edition Number 1

At a Glance

Hardcover
336 Pages

Dimensions(cm)
23.4 x 15.6 x 1.91

Hardcover

RRP $294.00

$254.75

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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.

Industry Reviews

"emphasizes the computational aspects of modern abstract algebraauthor has integrated the software Mathematica into the discussions-especially in the group theory sections-but is careful not to make any logical reliance on this software. For one wishing to see the theory unfold through a highly computational approach, this text has much to recommend writing is logical but not excessively formalI feel that this text was very courageously written[the] focus is a bit more narrow that that of the typical first-year undergraduate course in abstract algebra. Yet, if one wishes to develop a deep and intuitive rapport with basic group and Galois theory, then this text has much to offer." --David B. Surowski, in Mathematical Reviews, Issue 2001i

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