Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory / Edition 1

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Overview

A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.
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Editorial Reviews

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MATHEMATICAL INTELLIGENCER

"I have nothing but praise for this book, and I can't imagine a mathamtician who wouldn't want to own it."

MAA ONLINE

"This book contains over 300 examples and then over 700 exercises for the reader. The authors have even included a fourth chapter with hints and answers to the exercises. So, even if the solution isn't given in the back, at least the reader will have some hint about which direction to start looking. The book provides a nice introduction into many of the problems-solvers' 'tricks of the trade.' There is a lot presented here, so the reader (especially an undergraduate) may want to take the following approach: read just a few pages at a time, work out some of the exercises, then take some time to digest the material before going on."

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Product Details

  • ISBN-13: 9780387989426
  • Publisher: Springer New York
  • Publication date: 3/1/2000
  • Series: CMS Books in Mathematics Series
  • Edition description: 2000
  • Edition number: 1
  • Pages: 344
  • Product dimensions: 0.88 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Algebraic Identities and Equations.- Algebraic Inequalities.- Number Theory.- Hints and Answers.

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