How to Read and Do Proofs: An Introduction to Mathematical Thought Processes

Solow, Daniel

ISBN 10: 0471510041 / ISBN 13: 9780471510048

Published by Wiley, 1990

About this Item

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Bibliographic Details

Title: How to Read and Do Proofs: An Introduction ...

Publisher: Wiley

Publication Date: 1990

Binding: paperback

Condition: Acceptable

Edition: 2nd Edition

About this title

Synopsis:

This straightforward guide describes the main methods used to prove mathematical theorems. Shows how and when to use each technique such as the contrapositive, induction and proof by contradiction. Each method is illustrated by step-by-step examples. The Second Edition features new chapters on nested quantifiers and proof by cases, and the number of exercises has been doubled with answers to odd-numbered exercises provided. This text will be useful as a supplement in mathematics and logic courses. Prerequisite is high-school algebra.

From the Back Cover:

How to Read and Do Proofs Describes All of the Fundamental Techniques used in mathematical proofs and illustrates each with an example requiring only high school mathematics Simplifies Complex Proofs by showing how a complicated proof can be understood as a sequence of applications of the individual techniques Unravels the Mystery of "Condensed" Proofs that are found in textbooks and journal articles by teaching you to identify which techniques are being used and how they are being applied in the particular proof Gets You Started in the right direction by showing how the form of the problem under consideration can often be used to choose a successful proof technique