The Art of the Intelligible: An Elementary Survey of Mathematics in Its Conceptual Development: 63 - Rilegato

Bell, J.

 
9780792359722: The Art of the Intelligible: An Elementary Survey of Mathematics in Its Conceptual Development: 63
Rilegato
ISBN 10: 0792359720 ISBN 13: 9780792359722
Casa editrice: SPRINGER NATURE, 1999

Sinossi

A compact survey, at the elementary level, of some of the most important concepts of mathematics. Attention is paid to their technical features, historical development and broader philosophical significance. Each of the various branches of mathematics is discussed separately, but their interdependence is emphasised throughout. Certain topics - such as Greek mathematics, abstract algebra, set theory, geometry and the philosophy of mathematics - are discussed in detail. Appendices outline from scratch the proofs of two of the most celebrated limitative results of mathematics: the insolubility of the problem of doubling the cube and trisecting an arbitrary angle, and the Gödel incompleteness theorems. Additional appendices contain brief accounts of smooth infinitesimal analysis - a new approach to the use of infinitesimals in the calculus - and of the philosophical thought of the great 20th century mathematician Hermann Weyl.
Readership: Students and teachers of mathematics, science and philosophy. The greater part of the book can be read and enjoyed by anyone possessing a good high school mathematics background.

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Recensione

`... impressively broad and far-ranging... written in an accessible and engaging style... The appendix on Gödel's theorems...is clear and easy to follow... a clear and straightforward survey of the conceptual development of mathematics. It is a wonderful addition to the literature...provides an accessible introduction to the subject matter. I recommend it to anyone who has an interest in mathematics and its development.'
Philosophia Mathematica, 8:3 (2000)

Contenuti

Foreword. Acknowledgements. 1. Numerals and Notation. 2. The Mathematics of Ancient Greece. 3. The Development of the Number Concept. 4. The Evolution of Algebra, I. 5. The Evolution of Algebra, II. 6. The Evolution of Algebra, III. 7. The Development of Geometry, I. 8. The Development of Geometry, II. 9. The Calculus and Mathematical Analysis. 10. The Continuous and the Discrete. 11. The Mathematics of the Infinite. 12. The Philosophy of Mathematics. Appendices. Bibliography. Index of Names. Index of terms.

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Editore
SPRINGER NATURE
Data di pubblicazione
1999
Lingua
Inglese
ISBN 10 
0792359720
ISBN 13 
9780792359722
Rilegatura
Copertina rigida
Numero di pagine
250
Contatto del produttore
non disponibile
Persona responsabile
Springer Nature Customer Service Center GmbH
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