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The foundations of mathematics
서명 / 저자 The foundations of mathematics / Ian Stewart and David Tall.
저자명 Stewart, Ian, 1945-
Tall, David Orme.
발행사항 Oxford : Oxford University Press, 2015

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소장위치 / 청구기호

6층 과학·기술자료실 / QA9 S74 2015

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청구기호 QA9 S74 2015
판사항 2nd ed.
형태사항 xvi, 391 p. : ill. ; 23 cm.
언어 English
서지주기 Includes bibliographical references (p. 383-385) and index.
내용 Part I. The intuitive background -- 1. Mathematical thinking -- 2. Number systems -- Part II. The beginnings of formalisation -- 3. Sets -- 4. Relations -- 5. Functions -- 6. Mathematical logic -- 7. Mathematical proof -- Part III. The development of axiomatic systems -- 8. Natural numbers and proof by induction -- 9. Real numbers -- 10. Real numbers as a complete ordered field -- 11. Complex numbers and beyond -- Part IV. Using axiomatic systems -- 12. Axiomatic systems, structure theorems, and flexible thinking -- 13. Permutations and groups -- 14. Cardinal numbers -- 15. Infinitesimals -- Part V. Strengthening the foundations -- 16. Axioms for set theory.
주제 Logic, Symbolic and mathematical.
LCCN 2014946122
ISBN 9780198706434 (pbk.) , 019870643X (pbk.) , 9780198706441 (hbk.) , 0198706448 (hbk.)
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