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by E. T. Bell
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ISBN: 0486272397 Dover Publications Price: $24.95 |
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This time-honored study by one of the 20th century's foremost scholars and interpreters of the history and meaning of mathematics surveys the role of mathematics in civilization. It describes clearly the main principles, methods, and theories of mathematics that have survived from 4000 B.C. to 1945. 1945 edition.
Table of Contents for The Development of Mathematics
| TO ANY PROSPECTIVE READER | |||||||
| 1. General Prospectus | |||||||
| 2. The Age of Empiricism | |||||||
| 3. Firmly Established | |||||||
| 4. The European Depression | |||||||
| 5. "Detour through India, Arabia, and Spain" | |||||||
| 6. "Four Centuries of Transition, 1202-1603" | |||||||
| 7. "The Beginning of Modern Mathematics, 1637-1687" | |||||||
| 8. Extensions of Number | |||||||
| 9. Toward Mathematical Structure | |||||||
| 10. Arithmetic Generalized | |||||||
| 11. Emergence of Structural Analysis | |||||||
| 12. Cardinal and Ordinal to 1902 | |||||||
| 13. "From Intuition to Absolute Rigor, 1700-1900" | |||||||
| 14. Rational Arithmetic after Fermat | |||||||
| 15. Contributions from Geometry | |||||||
| 16. The Impulse from Science | |||||||
| 17. From Mechanics to Generalized Variables | |||||||
| 18. From Applications to Abstractions | |||||||
| 19. Differential and Difference Equations | |||||||
| 20. Invariance | |||||||
| 21. Certain Major Theories of Functions | |||||||
| 22. Through Physics to General Analysis and Abstractness | |||||||
| 23. Uncertainties and Probabilities | |||||||
| NOTES | |||||||
| INDEX |