an introduction to mathematical thought processes /
First Statement of Responsibility
Daniel Solow (Department of Operations, Weatherhead School of Management, Case Western Reserve University, Cleveland, OH 44106, e-mail daniel.solow@case.edu, web http://weatherhead.cwru.edu/solow)
EDITION STATEMENT
Edition Statement
Sixth edition
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiv, 319 pages :
Other Physical Details
illustrations ;
Dimensions
23 cm
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 314-315) and index
CONTENTS NOTE
Text of Note
The truth of it all -- The forward-backward method -- On definitions and mathematical terminology -- Quantifiers I: the construction method -- Quantifiers II: the choose method -- Quantifiers III: specialization -- Quantifiers IV: nested quantifiers -- Nots of nots lead to knots -- The contradiction method -- The contrapositive method -- The uniqueness methods -- Induction -- The either/or methods -- The max/min methods
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SUMMARY OR ABSTRACT
Text of Note
This book provides a systematic approach that will help you master the basic techniques that are used in all proofs, regardless of the mathematical subject matter in which the proof arises. Once you know these techniques, you'll be better equipped to read, understand, and actually do proofs. You'll also learn when each technique is likely to be successful, based on keywords that appear in the theorem. -- Publisher description