Physical description; [437 p.]. 1966 reprint. Notes; "This book is a thorough revision and amplification of two earlier volumes by the same author: The queen of the sciences, 1931 ... and The handmaiden of the sciences, 1937." -To the reader. Contents; Ch. 1. Points of view - ch. 2. Mathematical truth - ch. 3. Breaking grounds - ch. 4. "The same, yet not the same" - ch. 5. The art of abstraction - ch. 6. Oaks from acorns - ch. 7. Pictorial thinking - ch. 8. landmarks old and new - ch. 9. Groups - ch. 10. A metrical universe - ch. 11. The queen of mathematics - ch. 12. Abstraction and prediction - ch. 13. From Cyzicus to Neptune - ch. 14. Two kinds of picture - ch. 15. The chief instrument of applied mathematics - ch. 16. Further calculus - ch. 17. Waves and vibrations - ch. 18. Choice and chance - ch. 19. "Storming the heavens" - ch. 20. Bedrock. Subjects; Mathematics - History. Mathematics.
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'The book deserves a place in today's market. It is rewarding reading for teachers and students at all mathematical levels.' Morris Kline
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.
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