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Who Gave you the Epsilon And Other Tales of Mathematical History 1st Edition by Marlow Anderson, Victor Katz, Robin Wilson 1614445044 9781614445043

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Who Gave you the Epsilon And Other Tales of Mathematical History 1st Edition Marlow Anderson Digital Instant Download

Author(s): Marlow Anderson, Victor Katz, Robin Wilson
ISBN(s): 9781614445043, 1614445044
Edition: 1st
File Details: PDF, 22.76 MB
Year: 2009
Language: english
SKU: EB-36408530 Category: Tags: , ,

Who Gave you the Epsilon And Other Tales of Mathematical History 1st Edition by Marlow Anderson, Victor Katz, Robin Wilson – Ebook PDF Instant Download/Delivery: 1614445044, 9781614445043

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Product details:

ISBN 10: 1614445044 

ISBN 13: 9781614445043

Author: Marlow Anderson, Victor Katz, Robin Wilson

This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The 40 articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. The articles have all been published in the Mathematical Association of America journals and are in many cases written by distinguished mathematicians such as G. H. Hardy and B. van der Waerden. The articles are arranged thematically to show the development of analysis, geometry, algebra and number theory through this period of time. Each chapter is preceded by a foreword, giving the historical background and setting and the scene, and is followed by an afterword, reporting on advances in our historical knowledge and understanding since the articles first appeared. This book is ideal for anyone wanting to explore the history of mathematics.

Table of contents:

Part I. Analysis:

1. Who gave you the epsilon? Cauchy and the origins of rigorous calculus Judith V. Grabiner

2. Evolution of the function concept: a brief survey Israel Kleiner

3. S. Kovalevsky: a mathematical lesson Karen D. Rappaport

4. Highlights in the history of spectral theory L. A. Steen

5. Alan Turing and the central limit theorem S. L. Zabell

6. Why did George Green write his essay of 1828 on electricity and magnetism? I. Grattan-Guinness

7. Connectivity and smoke-rings: Green’s second identity in its first fifty years Thomas Archibald

8. The history of Stokes’ theorem Victor J. Katz

9. The mathematical collaboration of M. L. Cartwright and J. E. Littlewood Shawnee L. McMurran and James J. Tattersall

10. Dr David Harold Blackwell, African American pioneer Nkechi Agwu, Luella Smith and Aissatou Barry

Part II. Geometry, Topology and Foundations:

11. Gauss and the non-Euclidean geometry George Bruce Halsted

12. History of the parallel postulate Florence P. Lewis

13. The rise and fall of projective geometry J. L. Coolidge

14. Notes on the history of geometrical ideas Dan Pedoe

15. A note on the history of the Cantor set and Cantor function Julian F. Fleron

16. Evolution of the topological concept of ‘connected’ R. L. Wilder

17. A brief, subjective history of homology and homotopy theory in this century Peter Hilton

18. The origins of modern axiomatics: Pasch to Peano H. C. Kennedy

19. C. S. Peirce’s philosophy of infinite sets Joseph W. Dauben

20. On the development of logics between the two world wars I. Grattan-Guinness

21. Dedekind’s theorem: √2 × √3 = √6 David Fowler

Part III. Algebra and Number Theory:

22. Hamilton’s discovery of quaternions B. L. van der Waerden:

23. Hamilton, Rodrigues, and the quaternion scandal Simon L. Altmann

24. Building an international reputation: the case of J. J. Sylvester (1814–1897) Karen Hunger Parshall and Eugene Seneta

25. The foundation period in the history of group theory Josephine E. Burns

26. The evolution of group theory: a brief survey Israel Kleiner

27. The search for finite simple groups Joseph A. Gallian

28. Genius and biographers: the fictionalization of Evariste Galois Tony Rothman

29. Hermann Grassmann and the creation of linear algebra Desmond Fearnley-Sander

30. The roots of commutative algebra in algebraic number theory Israel Kleiner

31. Eisenstein’s misunderstood geometric proof of the quadratic reciprocity theorem Reinhard C. Laubenbacher and David J. Pengelley

32. Waring’s problem Charles Small

33. A history of the prime number theorem L. J. Goldstein

34. A hundred years of prime numbers Paul T. Bateman and Harold G. Diamond

35. The Indian mathematician Ramanujan G. H. Hardy

36. Emmy Noether Clark H. Kimberling

37. ‘A marvellous proof’ Fernando Q. Gouvˆea

Part IV. Surveys:

38. The international congress of mathematicians George Bruce Halsted

39. A popular account of some new fields of thought in mathematics G. A. Miller

40. A half-century of mathematics Hermann Weyl

41. Mathematics at the turn of the millennium Philip A. Griffiths

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