عنوان

An introduction to mathematical reasoning :

(Number (ISBN

0521592690

(Number (ISBN

0521597188 (pb)

(Number (ISBN

9780521592697

(Number (ISBN

9780521597180 (pb)

Number

dltt

Title Proper

An introduction to mathematical reasoning :

General Material Designation

[Book]

Other Title Information

numbers, sets, and functions /

First Statement of Responsibility

Peter J. Eccles

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

1997

Specific Material Designation and Extent of Item

xii, 350 p. :

Other Physical Details

ill. ;

Dimensions

24 cm

Text of Note

Includes bibliographical references (p. 345) and index

Text of Note

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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Parallel Title

Mathematical reasoning

Proof theory

Class number

Book number

Eccles, Peter J.,1945-

Date of Transaction

20130220075616.0

Electronic name

[Book]

Y