Mathematics : queen and servant of science
著者
書誌事項
Mathematics : queen and servant of science
Mathematical Association of America, c1987
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内容説明・目次
内容説明
An absorbing account of pure and applied mathematics from the geometry of Euclid to that of Riemann, and its application in Einstein's theory of relativity. The twenty chapters cover such topics as: algebra, number theory, logic, probability, infinite sets and the foundations of mathematics, rings, matrices, transformations, groups, geometry, and topology. Mathematics was republished in 1987 with corrections and an added foreword by Martin Gardner.
目次
- 1. Points of view
- 2. Mathematical truth
- 3. Breaking bounds
- 4. 'The same, yet not the same'
- 5. The art of abstraction
- 6. Oaks from acorns
- 7. Pictorial thinking
- 8. Landmarks old and new
- 9. Groups
- 10. A metrical universe
- 11. The queen of mathematics
- 12. Abstraction and prediction
- 13. From cyzius to neptune
- 14. Two kinds of picture
- 15. The chief instrument of applied mathematics
- 16. Further calculuses
- 17. Waves and vibrations
- 18. Choice and chance
- 19. 'Storming the heavens'
- 20. Bedrock.
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