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Modern Algebra: An Introduction

1 rating: 3.0
A book by John R. Durbin

This book presents an introduction to modern (abstract) algebra covering the basic ideas of groups, rings, and fields. The first part of the book treats ideas that are important but neither abstract nor complicated, and provides practice in handling … see full wiki

Author: John R. Durbin
Publisher: Wiley
1 review about Modern Algebra: An Introduction

Effectively usable text in modern or abstract algebra

  • Apr 16, 2010
Rating:
+3
With the exception of material such as encoding that requires a computer for the most complex problems; the area called modern algebra has not changed in decades. In fact, this is an area where the inclusion of a computer in the early work is detrimental rather than beneficial. Modern algebra is also known as abstract algebra for good reason, to understand it you have to be able to process symbols abstractly. Therefore, I tend to score modern algebra books lower if there is significant dependence on a computer.
That is not an issue with this book; computer involvement is kept to a minimum. First courses in modern algebra are now fairly fixed in terms of coverage and this one is in no way a deviant. Proofs of the most important basic concepts are present but not in overwhelming numbers. The style of presentation is to introduce one concept, illustrate it with examples and then have a series of exercises, some of which are answered in an appendix. The final three chapters cover:

*) Symmetry
*) Cryptography and algebraic coding
*) Lattices and Boolean algebras

Effectively usable is a phrase that describes this book, nothing in it that will make you consider it outstanding and nothing that would cause you to reject it.

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