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" An introduction to mathematical reasoning : "
Peter J. Eccles
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BL
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| Record Number
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631084
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dltt
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| Main Entry
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Eccles, Peter J.,1945-
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| Title & Author
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An introduction to mathematical reasoning : : numbers, sets, and functions /\ Peter J. Eccles
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| Publication Statement
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Cambridge ;New York :: Cambridge University Press,, 1997
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| Page. NO
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xii, 350 p. :: ill. ;; 24 cm
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| ISBN
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0521592690
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: 9780521592697
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: 0521597188 (pb)
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: 9780521597180 (pb)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 345) and index
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| Contents
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Pt. I. Mathematical statements and proofs. 1. The language of mathematics. 2. Implications. 3. Proofs. 4. Proof by contradiction. 5. The induction principle -- Pt. II. Sets and functions. 6. The language of set theory. 7. Quantifiers. 8. Functions. 9. Injections, surjections and bijections -- Pt. III. Numbers and counting. 10. Counting. 11. Properties of finite sets. 12. Counting functions and subsets. 13. Number systems. 14. Counting infinite sets -- Pt. IV. Arithmetic. 15. The division theorem. 16. The Euclidean algorithm. 17. Consequences of the Euclidean algorithm. 18. Linear diophantine equations -- Pt. V. Modular arithmetic. 19. Congruence of integers. 20. Linear congruences. 21. Congruence classes and the arithmetic of remainders. 22. Partitions and equivalence relations -- Pt. VI. Prime numbers. 23. The sequence of prime numbers. 24. Congruence modulo a prime
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| Subject
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Proof theory
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| LC Classification
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QA9.54.E23 1997
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| Parallel Title
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Mathematical reasoning
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