Asia Pacific University Library catalogue


How to read and do proofs : an introduction to mathematical thought processes / Daniel Solow.

By: Solow, DanielMaterial type: TextTextPublication details: Hoboken, N.J. : Wiley, c2010Edition: 5th edDescription: xviii, 301 p. : ill. ; 23 cmISBN: 9780470392164 (pbk.)Subject(s): Proof theory -- Textbooks | Logic, Symbolic and mathematical -- TextbooksDDC classification: 511.36 LOC classification: QA9.54 | .S65 2010
Contents:
The truth of it all -- The forward-backward method -- On definitions and mathematical terminology -- Quantifiers 1: 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 -- Summary -- Appendices: Examples of proofs from discrete mathematics ; Examples of proofs from linear algebra ; Examples of proofs from modern algebra ; Examples of proofs from real analysis.
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Q360 .W47 2010 c.1 Introducing communication theory : Q370 .G73 2011 c.1 Entropy and information theory / Q370 .G73 2011 c.2 Entropy and information theory / QA9.54 .S65 2010 c.1 How to read and do proofs : QA37.3 .A97 2010 c.1 College mathematics : QA37.3 .J64 2012 c.1 Mathematics : QA39.2 .C76 2003 c.2 Foundation maths /

Includes bibliographical references and index.

The truth of it all -- The forward-backward method -- On definitions and mathematical terminology -- Quantifiers 1: 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 -- Summary -- Appendices: Examples of proofs from discrete mathematics ; Examples of proofs from linear algebra ; Examples of proofs from modern algebra ; Examples of proofs from real analysis.

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