How to Read and Do Proofs

How to Read and Do Proofs

by Solow, Daniel

Type Book
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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.

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Title Statements

  • Full title :How to Read and Do Proofs.

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 description.

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Edition Statements

  • Publication Date:2013.
  • Edition:6th ed

Publication Statements

  • Publisher(s):Wiley
  • Place of Publication:New York
  • Language:eng
  • Publication Date:2013.

The Physical Object

  • Description:1 online resource (338 pages)

Edition Identifiers

  • ISBN:9781118857878, 1118857879
  • oclc:on1007041469
  • LC Classification:QA9.54.S65 2014
  • Dewey Decimal:511.36

Table of 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.

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Subjects

Logic, Symbolical and mathematical -- T… MATHEMATICS -- General Proof theory Proof theory -- Textbooks Textbooks

Writers

Solow, Daniel

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