Mathematical thought from ancient to modern times (Book, 1990) [WorldCat.org]
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Mathematical thought from ancient to modern times

Author: Morris Kline
Publisher: New York : Oxford University Press, 1990, ©1972.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.
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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.
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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  Read more...

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`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 Read more...

 
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