عنوان

An introduction to mathematical reasoning :

شابک

0521592690

شابک

0521597188 (pb)

شابک

9780521592697

شابک

9780521597180 (pb)

شماره

dltt

عنوان اصلي

An introduction to mathematical reasoning :

نام عام مواد

[Book]

ساير اطلاعات عنواني

numbers, sets, and functions /

نام نخستين پديدآور

Peter J. Eccles

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Cambridge University Press,

تاریخ نشرو بخش و غیره

1997

نام خاص و کميت اثر

xii, 350 p. :

ساير جزييات

ill. ;

ابعاد

24 cm

متن يادداشت

Includes bibliographical references (p. 345) and index

متن يادداشت

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

بدون عنوان

0

عنوان اصلي به زبان ديگر

Mathematical reasoning

موضوع مستند نشده

Proof theory

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Eccles, Peter J.,1945-

تاريخ عمليات

20130220075616.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y