18. John Forbes Nash, Jr., Lcs Prix n.o.bel 1994, Lcs Prix n.o.bel 1994, op. cit. op. cit.

19. Gromov, interview.

20. John Conway, professor of mathematics, Princeton University, interview, 10.94.

21. Jurgen Moser, e-mail, 12.24.97.

22. Richard Palais, professor of mathematics, Brandeis University, interview, 11.6.95.

23. Moser, interview.

24. Donald J. Newman, interview, 3.2.96.

25. Jurgen Moser, "A Rapidly Convergent Iteration Method and Non-linear Partial Differential Equations, I, II," Annali della Scuola Normale Superiore di Pisa, Annali della Scuola Normale Superiore di Pisa, vol. 20 (1966), pp. 265315, 499535. vol. 20 (1966), pp. 265315, 499535.

26. See, for example, Kyosi Ito, ed., Encyclopedic Dictionary of Mathematics Encyclopedic Dictionary of Mathematics (Mathematical Society of j.a.pan; Cambridge: MIT Press, 1987), p. 1076; Lars Hormander, "The Boundary Problems of Physical Geodesy," (Mathematical Society of j.a.pan; Cambridge: MIT Press, 1987), p. 1076; Lars Hormander, "The Boundary Problems of Physical Geodesy," Archive for Rational Mechanics and a.n.a.lysis, Archive for Rational Mechanics and a.n.a.lysis, vol. 62, no. 1 (1976), pp. 152; and S. Klainerman, vol. 62, no. 1 (1976), pp. 152; and S. Klainerman, Communications in Pure and Applied Mathematics, Communications in Pure and Applied Mathematics, vol. 33 (1980), pp. 43101. vol. 33 (1980), pp. 43101.

27. John Nash, "C Isometric Imbeddings," Annals of Mathematics, Annals of Mathematics, vol. 60, no. 3 (November 1954), pp. 38396. vol. 60, no. 3 (November 1954), pp. 38396.

28. Kohn, interview.

29. John Forbes Nash, Jr., Les Prix n.o.bel 1994, Les Prix n.o.bel 1994, op. cit. op. cit.

30. Rota, interview, 11.14.95.

31. Flatto, interview.

32. Jacob Schwartz, professor of computer science, Courant Inst.i.tute, interview, 1.29.96.

33. Isadore Singer, interview, 12.14.95.

34. Paul J. Cohen, professor of mathematics, Stanford University, interview, 1.6.96.

35. Moser, interview, 3.23.96.

36. The Nash-Federer correspondence wasn't saved, and Federer declined to be interviewed (personal communication, 6.25.96). The account is based on the recollections of several individuals, including Wendell Fleming (interview, 6.97), a longtime collaborator and friend of Federer.

37. Fleming, interview.

38. John Nash, "The Imbedding Problem for Riemannian Manifolds," Annuls of Mathematics, Annuls of Mathematics, vol. 63, no. 1 (January 1956, received October 29, 1954, revised August 20, 1955). vol. 63, no. 1 (January 1956, received October 29, 1954, revised August 20, 1955).

39. Borel, interview.

40. Letter from John Forbes Nash, Jr., to Virginia and John Nash, Sr., 4.54.

41. Rota, interview.

42. Stolzenberg, interview, 4.2.96.

43. Ibid.

44. Schwartz, interview.

45. Moser, interview.

46. Ibid.

47. Ibid.

48. Rota, interview, 10.94.

49. George Whitehead, professor of mathematics, MIT, interview, 12.12.95.

50. Flatto, interview.

51. Lawrence Wallen, interview, 6.4.97.

Part Two: SEPARATE LIVES

21: Singularity

1. Postcard from John Nash to Arthur Mattuck, 1968. B B stood for Jacob Bricker, stood for Jacob Bricker, T T for Ervin D. Thorson, for Ervin D. Thorson, F F for Herbert Amasa Forrester, and for Herbert Amasa Forrester, and R R for Donald V. Reynolds. for Donald V. Reynolds.

22: A Special Friendship

1. Letter from John Forbes Nash, Jr., to Martha Nash Legg, 11.4.65.

2. Ibid.

3. Herta Newman, interview, 3.2.96.

4. D. Newman, interview.

5. Joseph Kohn, interview, 2.15.96.

6. H. Newman, interview.

7. D. Newman, interview.

8. In his 11.4.65 letter, Nash describes Thorson as one of three "special friendships." Thorson was working in Santa Monica, California, at Douglas Aircraft.

9. The references to T T in Nash's letters continued until at least 1968, usually in conjunction with references to in Nash's letters continued until at least 1968, usually in conjunction with references to B B (for Bricker) and (for Bricker) and F. F.

10. M. Legg, interview, 3.30.96.

11. Douglas Aircraft could supply no biographical or professional information on Thorson (Donald Hanson, personal communication, 6.17.97). Nash did not recall Thorson when asked about him by Harold Kuhn (6.97). What details are known of Thorson are based solely on an obituary in the Hemet News Hemet News and a brief conversation with his surviving sister, Nelda Troutman, 5.28.97. and a brief conversation with his surviving sister, Nelda Troutman, 5.28.97.

12. Hanson, interview.

13. Ibid.

14. Troutman, interview, 5.28.97.

15. Ibid.

16. Ibid.

17. Under the Eisenhower guidelines, h.o.m.os.e.xuals were not permitted to have security clearances.

23: Eleanor

1. The description of Nash's stay at Mrs. Grant's house is based on interviews with Lindsay Russell, 1.14.96, 4.23.96, and 7.97.

2. Postcard from John Nash, Jr., to Virginia and John Nash, Sr., 9.52.

3. Martha Nash Legg, interview, 9.3.95.

4. Eleanor Stier, interview, 2.14.96.

5. Ibid., 3.15.96.

6. Ibid., 2.14.96 and 3.18.96.

7. Arthur Mattuck, interview, 11.7.95.

8. Eleanor's history was taken from interviews with her, 3.1 5.95, and John David Stier, 9.20.97.

9. E. Stier, interview, 2.14.96.

10. Ibid., 3.15.96.

11. That Nash was interested in, and experimented with, various drugs was recalled by Donald Newman, interview, 3.2.96. Eleanor Stier confirmed this, interview, 3.18.96, although neither witnessed Nash's experiments, if indeed they ever took place. Their possible significance is twofold. First, it suggests Nash's concern with enhancing his mental powers but also his concerns about his own "manliness."

12. E. Stier, interview, 3.13.96.

13. Ibid.

14. M. Legg, interview.

15. E. Stier, interview, 3.15.96. Confirmed by Jacob Bricker, interview, 5.22.97, and Arthur Mattuck, interview.

16. Bricker, interview.

17. E. Stier, interview, 7.95.

18. Ibid.

19. Bricker, interview.

20. E. Stier, interview, 3.15.96.

21. John David Stier, interview, 6.29.96.

22. E. Stier, interview, 3.15.96.

23. J. D. Stier, interview, 9.20.97.

24. E. Stier, interview, 3.15.96.

25. Ibid.

26. Ibid, 3.18.96.

27. Ibid., 3.18.96, and J. D. Stier, interview, 9.20.97.

28. J. D. Stier, interview, 9.20.97.

29. A. Mattuck, interview.

30. E. Stier, interview, 3.18.96.

31. Bricker, interview; Mattuck, interview.

32. E. Stier, interview, 3.18.96.

33. Mattuck, interview.

34. E. Stier, interview, 3.18.96.

35. Ibid., 3.15.96.

36. Mattuck, interview.

37. Best, interview, 5.22.96.

38. Mattuck, interview, 5.21.97.

39. Bricker, interview.

40. E. Stier, interview.