자료유형 | 단행본 |
---|---|
서명/저자사항 | How to prove it : a structured approach/ Daniel J. Velleman. |
개인저자 | Velleman, Daniel J. |
판사항 | 2nd ed. |
발행사항 | New York: Cambridge University Press, 2006. |
형태사항 | xiii, 384 p.: ill.; 23 cm. |
ISBN | 9780521675994 (pbk.): 9780521861243 (hardback) 0521861241 (hardback) 0521675995 (pbk.) |
서지주기 | Includes bibliographical references and index. |
내용주기 | 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. |
일반주제명 | Logic, Symbolic and mathematical. Mathematics. |
분류기호(DDC) | 511.3 |
언어 | 영어 |
보존/밀집/기증 자료 신청 분관대출 서가부재도서 무인예약대출 배달서비스 소장위치출력
No. | 등록번호 | 청구기호 | 소장처 | 밀집번호 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
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1 | 1093811 | 511.3 V44hc2 | 중앙도서관[본관]/3자료실(3층)/ | 대출가능 |