Nuts and Bolts of Proofs An Introduction to Mathematical Proofs

Name: Nuts and Bolts of Proofs An Introduction to Mathematical Proofs
Price: 6.68 USD
Availability: InStock
ISBN: 9780120885091

ISBN-10: 0120885093

ISBN-13: 9780120885091

Edition: 3rd 2005 (Revised)

Authors: Antonella Cupillari

List price: $51.95

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Description:

Antonella Cupillari instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work and providing them with techniques they can use to gain an inside view of the subject.

Book details

List price: $51.95
Edition: 3rd
Copyright year: 2005
Publisher: Elsevier Science & Technology Books
Publication date: 8/1/2005
Binding: Paperback
Pages: 192
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.638
Language: English



List of Symbols


Preface


Introduction and Basic Terminology


General Suggestions


Basic Techniques to Prove If/Then Statements


Direct Proof


Related Statements


Proof by Contrapositive (AKA Proof by Contradiction or Indirect Proof)


How to Construct the Negation of a Statement


Special Kinds of Theorems


"If and Only If" or "Equivalence Theorems"


Use of Counterexamples


Mathematical Induction


Existence Theorems


Uniqueness Theorems


Equality of Sets


Equality of Numbers


Composite Statements


Limits


Review Exercises


Exercises Without Solutions


Collection of Proofs


Solutions for the Exercises at the End of the Sections and the Review Exercises


Solutions for the Exercises at the End of the Sections


Solutions for the Review Exercises


Other Books on the Subject of Proofs and Mathematical Writing


Index