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How to read and do proofs : an introduction to mathematical thought processes

Author: Daniel Solow
Publisher: Hoboken, New Jersey : John Wiley & Sons, Inc., [2014]
Edition/Format:   Print book : English : Sixth editionView all editions and formats
Summary:
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  Read more...
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Genre/Form: Textbooks
Document Type: Book
All Authors / Contributors: Daniel Solow
ISBN: 9781118164020 1118164024
OCLC Number: 846912131
Description: xiv, 319 pages : illustrations ; 23 cm
Contents: 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.
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).

Abstract:

This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs.  Read more...

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"The instructional material is to the point, with well-considered examples and asides on common mistakes. Good examples of the author's thoughtfulness appear in the discourses on pp. 5-6 of Read more...

 
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