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010   $a9786611056810
010   $a0-08-053790-1
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100   $a20051014d2005      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe nuts and bolts of proofs$b[electronic resource] /$fAntonella Cupillari
205   $a3rd ed.
210   $aAmsterdam ;$aBoston $cElsevier Academic Press$dc2005
215   $a1 online resource (193 p.)
300   $aDescription based upon print version of record.
311   $a0-08-051894-X 
311   $a0-12-088509-3 
320   $aIncludes bibliographical references (p. 173-176) and index.
327   $aFront Cover; The Nuts and Bolts of Proofs; Copyright Page; List of Symbols; Contents; Preface; Chapter 1. Introduction and Basic Terminology; Chapter 2. General Suggestions; Chapter 3. 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; Chapter 4. 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
327   $aComposite StatementsLimits; Chapter 5. Review Exercises; Chapter 6. Exercises Without Solutions; Chapter 7. Collection of Proofs; Chapter 8. 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; Chapter 9. Other Books on the Subject of Proofs and Mathematical Writing; Index; A Guide to Selecting a Method of Proof
330   $aThe Nuts and Bolts of Proof  instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work.  It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems.* The ""List of Symbols"" has been extended.* Set Theory section ha
606   $aProof theory
608   $aElectronic books.
615  0$aProof theory.
676   $a511.3/6
700   $aCupillari$b Antonella$0627650
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910458474003321
996   $aNuts and bolts of proofs$91213908
997   $aUNINA