How to prove it : a structured approach / Daniel J. Velleman. [print]
Material type: TextPublication details: New York : Cambridge University Press, [(c)2006.Edition: second editionDescription: xiii, 384 pages : illustrations ; 24 cmContent type:- text
- unmediated
- volume
- 9780521861243
- 0521861241
- 9780521675994
- 0521675995
- QA9.H698 2006
- QA9.V439.H698 2006
- COPYRIGHT NOT covered - Click this link to request copyright permission:
Item type | Current library | Collection | Call number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|
Circulating Book (checkout times vary with patron status) | G. Allen Fleece Library Circulating Collection - First Floor | Non-fiction | QA9.V38 2006 (Browse shelf(Opens below)) | Available | 31923001468905 |
Introduction Sentential logic 1.1 Deductive reasoning and logical connectives 1.2 truth tables 1.3 variables and sets 1.4 operations on sets 1.5 The conditional and biconditional connectives Quantificational logic 2.1 Quantifiers 2.2 Equivalences involving quantifiers 2.3 More operations on sets Proofs 3.1 proof strategies 3.2 proofs involving negations and conditionals 3.3 Proofs involving quantifiers 3.4 Proofs involving conjunctions and biconditionals 3.5 Proofs involving disjunctions 3.6 Existence and uniqueness proofs 3.7 More examples of proofs Relations 4.1 Ordered pairs and cartesian products 4.2 Relations 4.3 More about relations 4.4 Ordering relations 4.5 Closures 4.6 Equivalence relations Functions 5.1 Functions 5.2 One-to-one and onto 5.3 Inverses of functions 5.4 Images and inverse images: a research project Mathematical induction 6.1 Proof by mathematical induction 6.2 More examples 6.3 Recursion 6.4 Strong induction 6.5 Closures again Infinite sets 7.1 Equinumerous sets 7.2 Countable and uncountable sets 7.3 The cantor--Schroder--Bernstein theorem Appendix 1: Solutions to selected exercises Appendix 2: Proof designer Suggestions for further reading Summary for proof techniques Index.
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