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## Details

Genre/Form: | History |
---|---|

Document Type: | Book |

All Authors / Contributors: |
Morris Kline |

ISBN: | 0195061357 9780195061352 0195061365 9780195061369 0195061373 9780195061376 |

OCLC Number: | 20562351 |

Description: | 3 volumes : illustrations ; 23 cm |

Contents: | v. 1: 1. Mathematics in Mesopotamia ; 2. Egyptian mathematics ; 3. The creation of classical Greek mathematics ; 4. Euclid and Apollonius ; 5. The Alexandrian Greek period : geometry and trigonometry ; 6. The Alexandrian period : the reemergence of arithmetic and algebra ; 7. The Greek rationalization of nature ; 8. The demise of the Greek world ; 9. The mathematics of the Hindus and Arabs ; 10. The Medieval period in Europe ; 11. The Renaissance ; 12. Mathematical contributions in the Renaissance ; 13. Arithmetic and algebra in the sixteenth and seventeenth centuries ; 14. The beginnings of projective geometry ; 15. Coordinate geometry ; 16. The mathematization of science ; 17. The creation of the calculus -- v. 2: 18. Mathematics of 1700 ; 19. Calculus in the eighteenth century ; 20. Infinite series ; 21. Ordinary differential equations in the eighteenth century ; 22. Partial differential equations in the eighteenth century ; 22. Analytic and differential geometry in the eighteenth century ; 24. The calculus of variations in the eighteenth century ; 25. Algebra in the eighteenth century ; 26. Mathematics of 1800 ; 27. Functions of a complex variable ; 28. Partial differential equations in the nineteenth century ; 29. Ordinary differential equations in the nineteenth century ; 30. The calculus of variations in the nineteenth century ; 31. Galois theory ; 32. Quaternions, vectors, and linear associative algebras ; 33. Determinants and matrices -- v. 3: 34. The theory of numbers in the nineteenth century ; 35. The revival of projective geometry ; 36. Non-Euclidean geometry ; 37. The differential geometry of Gauss and Riemann ; 38. Projective and metric geometry ; 39. Algebraic geometry ; 40. The instillation of rigor in analysis ; 41. The foundations of the real and transfinite numbers ; 42. The foundations of geometry ; 43. Mathematics of 1900 ; 44. The theory of functions of real variables ; 45. Integral equations ; 46. Functional analysis ; 47. Divergent series ; 48. Tensor analysis and differential geometry ; 49. The emergence of abstract algebra ; 50. The beginnings of topology ; 51. The foundations of mathematics. |

Responsibility: | Morris Kline. |

More information: |

### Abstract:

Part of a set of volumes that trace the development of mathematical ideas and the careers of the mathematicians responsible for them, this text covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent study.
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## Reviews

*Editorial reviews*

Publisher Synopsis

`Without a doubt a book which should be in the library of every institution where mathematics is either taught or played.' The Economist `There is no other book from which one can obtain a comparable understanding of the history of mathematics.' We recommend these highly readable volumes to all interested in the history of mathematics. * Zentralblatt fuer Mathematik * Read more...

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