A Beautiful Mind - LightNovelsOnl.com
You're reading novel online at LightNovelsOnl.com. Please use the follow button to get notifications about your favorite novels and its latest chapters so you can come back anytime and won't miss anything.
Ewing, John H., ed. A Century of Mathematics. A Century of Mathematics. Was.h.i.+ngton, D.C.: The Mathematical a.s.sociation of America, 1994. Was.h.i.+ngton, D.C.: The Mathematical a.s.sociation of America, 1994.
Gardner, Howard. Creating Minds. Creating Minds. New York: Basic Books, 1993. New York: Basic Books, 1993.
Gardner, Martin. Mathematical Puzzles and Diversions. Mathematical Puzzles and Diversions. New York: Simon & Schuster, 1959. New York: Simon & Schuster, 1959.
Gla.s.s, James M. Delusion. Delusion. Chicago: University of Chicago Press, 1985. Chicago: University of Chicago Press, 1985.
Goldstein, Rebecca. The Mind-Body Problem. The Mind-Body Problem. New York: Penguin, 1993. New York: Penguin, 1993.
Gottesman, Irving I. Schizophrenia Genesis: The Origins of Madness. Schizophrenia Genesis: The Origins of Madness. New York: W. H. Freeman & Co., 1991. New York: W. H. Freeman & Co., 1991.
Grob, Gerald N. The Mad Among Us. The Mad Among Us. Cambridge: Harvard University Press, 1994. Cambridge: Harvard University Press, 1994.
Halberstam, David. The Fifties. The Fifties. New York: Fawcett Columbine, 1993. New York: Fawcett Columbine, 1993.
Hale, Nathan G., Jr. The Rise and Crisis of Psychoa.n.a.lysis in the United States. The Rise and Crisis of Psychoa.n.a.lysis in the United States. New York: Oxford University Press, 1995. New York: Oxford University Press, 1995.
Halmos, Paul R. "The Legend of John von Neumann." American Mathematical Monthly, American Mathematical Monthly, vol. 80 (1973), pp. 38294. vol. 80 (1973), pp. 38294.
Hardy, G. H. A Mathematician's Apology, A Mathematician's Apology, with foreword by C. P. Snow. Cambridge, U.K.: Cambridge University Press, 1967. with foreword by C. P. Snow. Cambridge, U.K.: Cambridge University Press, 1967.
Heilbroner, Robert. The Worldly Philosophers. The Worldly Philosophers. New York: Simon & Schuster, 1992. New York: Simon & Schuster, 1992.
Hironaka, Heisuke. "On Nash Blowing Up," Arithmetic and Geometry II Arithmetic and Geometry II Boston: Birkhauser, 1983. Boston: Birkhauser, 1983.
Hollingdale, Stuart. Makers of Mathematics. Makers of Mathematics. New York: Penguin, 1989. New York: Penguin, 1989.
Ito, Kyosi, ed. Encyclopedic Dictionary of Mathematics, Encyclopedic Dictionary of Mathematics, vols. I, II, and III, 3rd ed. Mathematical Society of j.a.pan; Cambridge: MIT Press, 1987. vols. I, II, and III, 3rd ed. Mathematical Society of j.a.pan; Cambridge: MIT Press, 1987.
Jamison, Kay Redfield. Touched with Fire: Manic-Depressive Illness and the Artistic Temperament. Touched with Fire: Manic-Depressive Illness and the Artistic Temperament. New York: The Free Press, 1993. New York: The Free Press, 1993.
"John von Neumann 19031957." Bulletin of the American Mathematical Society Bulletin of the American Mathematical Society (May 1958). (May 1958).
Kafka, Franz. The Castle, The Castle, with introduction by Irving Howe. New York: Scholastic Books, 1992. with introduction by Irving Howe. New York: Scholastic Books, 1992.
---. The Metamorphosis. The Metamorphosis. New York: Shocken Books, 1995. New York: Shocken Books, 1995.
Kagel, John H., and Alvin E. Roth. The Handbook of Experimental Economics. The Handbook of Experimental Economics. Princeton: Princeton University Press, 1995. Princeton: Princeton University Press, 1995.
Kanigel, Robert. The Man Who Knew Infinity: A Life of the Cenius Ramanujan. The Man Who Knew Infinity: A Life of the Cenius Ramanujan. New York: Pocket Books, 1992. New York: Pocket Books, 1992.
Kaplan, Fred. The Wizards of Armageddon. The Wizards of Armageddon. Stanford: Stanford University Press, 1983. Stanford: Stanford University Press, 1983.
Keefe, Richard S. E., and Philip D. Harvey. Understanding Schizophrenia: A Guide to the New Research on Causes and Treatment. Understanding Schizophrenia: A Guide to the New Research on Causes and Treatment. New York: The Free Press, 1994. New York: The Free Press, 1994.
Kuhn, Harold W. Introduction, "A Celebration of John F. F. Nash, Jr.," Nash, Jr.," Duke Mathematical Journal Duke Mathematical Journal vol. 81, no. 1 (1995), pp. i-v. vol. 81, no. 1 (1995), pp. i-v.
---. "n.o.bel Seminar: The Work of John Nash in Game Theory, December 8, 1994," Les Prix n.o.bel 1994. Les Prix n.o.bel 1994. Stockholm: Norstedts Tryckeri, 1995. Stockholm: Norstedts Tryckeri, 1995.
Larde, Enrique. The Crown Prince Rudolf: His Mysterious Life After Maverling. The Crown Prince Rudolf: His Mysterious Life After Maverling. Pittsburgh: Dorrance, 1994. Pittsburgh: Dorrance, 1994.
Leonard, Robert J. "From Parlor Games to Social Science: Von Neumann, Morgenstern and the Creation of Game Theory, 19281944." Journal of Economic Literature Journal of Economic Literature (1995). (1995).
---. "Reading Cournot, Reading Nash: The Creation and Stabilization of the Nash Equilibrium." The Economic Journal The Economic Journal (May 1994), pp. 492511. (May 1994), pp. 492511.
Lindbeck, a.s.sar. "The Prize in Economic Science in Memory of Alfred n.o.bel." Journal of Economic Literature, Journal of Economic Literature, vol. 23 (March 1985), pp. 3756. vol. 23 (March 1985), pp. 3756.
Lowell, Robert. "Waking in the Blue." Life Studies and For the Union Dead. Life Studies and For the Union Dead. New York: Farrar Straus and Giroux, 1992. New York: Farrar Straus and Giroux, 1992.
Luce, R. Duncan, and Howard Raiffa. Games and Decisions. Games and Decisions. New York: John Wiley & Sons, 1957. New York: John Wiley & Sons, 1957.
McDonald, John. "The War of Wits." Fortune Fortune (March 1951). (March 1951).
Milnor, John. "A n.o.bel Prize for John Nash." The Mathematical Intelligencer, The Mathematical Intelligencer, vol. 17, no. 3 (1995), pp. 1415. vol. 17, no. 3 (1995), pp. 1415.
Nash, John Forbes, Jr. "Sag and Tension Calculations for Cable and Wire Spans Using Catenary Formulas" (with John F. Nash, Sr.). Electrical Engineering Electrical Engineering (1945). (1945).
---. "Equilibrium Points in N-Person Games." Proceedings of the National Academy of Sciences, USA, vol. Proceedings of the National Academy of Sciences, USA, vol. 36 (1950), pp. 4849. 36 (1950), pp. 4849.
---. Non-Cooperative Gaines, Non-Cooperative Gaines, Ph.D. thesis, Princeton University, May 1950. Ph.D. thesis, Princeton University, May 1950.
---. "A Simple Three-Person Poker Game" (with Lloyd S. Shapley). Annals of Mathematics Stndy, Annals of Mathematics Stndy, vol. 24 (1950). vol. 24 (1950).
---. "The Bargaining Problem." Econometrica, Econometrica, vol. 18 (1950), pp. 15562. vol. 18 (1950), pp. 15562.
---. "Non-Cooperative Games." Annals of Mathematics, Annals of Mathematics, vol. 54 (1951), pp. 28695. vol. 54 (1951), pp. 28695.
---. "Real Algebraic Manifolds." Annals of Mathematics, Annals of Mathematics, vol. 56, no. 3 (November 1952), pp. 40521. vol. 56, no. 3 (November 1952), pp. 40521.
---. "Some Experimental N-Person Games" (with G. Kalisch, J. W. Milnor, and E. D. Nering). Decision Processes, Decision Processes, ed. R. M. Thrall, C. H. Coombs, and R. L. Davis. New York: John Wiley & Sons, 1954. ed. R. M. Thrall, C. H. Coombs, and R. L. Davis. New York: John Wiley & Sons, 1954.
---. "Two-Person Cooperative Games." Econometrica, Econometrica, vol. 21 (1953), pp. 40521. vol. 21 (1953), pp. 40521.
---. "A Comparison of Treatments of a Duopoly Situation" (with J. P. Mayberry and M. Shubik). Econometrica, Econometrica, vol. 21 (1953), pp. 14154. vol. 21 (1953), pp. 14154.
---. "Higher Dimensional Core Arrays for Machine Memories." RAND Memorandum, D-2495, 7.22.54.
---. "LODAR." RAND Memorandum, D-2349, 7.23.54.
---. "Continuous Iteration Method for Solution of Differential Games." RAND Memorandum, RM-1326, 8.18.54.
---. "Parallel Control." RAND Memorandum, RM-1361, 8.27.54.
---. "C Isometric Imbeddings." Annals of Mathematics, Annals of Mathematics, vol. 60, no. 3 (November 1954), pp. 38296. vol. 60, no. 3 (November 1954), pp. 38296.
---. "Results on Continuation and Uniqueness of Fluid Flow." Bulletin of the American Mathematical Society, Bulletin of the American Mathematical Society, vol. 60 (1954), pp. 16566. vol. 60 (1954), pp. 16566.
---. "A Path s.p.a.ce and the Stiefel-Whitney Cla.s.ses." Proceedings of the National Academy of Sciences USA, Proceedings of the National Academy of Sciences USA, vol. 41 (1955), pp. 32021. vol. 41 (1955), pp. 32021.
---. "The Imbedding Problem for Riemannian Manifolds." Annals of Mathematics, Annals of Mathematics, vol. 63, no. 1 (January 1956), pp. 2063. vol. 63, no. 1 (January 1956), pp. 2063.
---. "Parabolic Equations." Proceedings of the National Academy of Sciences USA, Proceedings of the National Academy of Sciences USA, vol. 43 (1957), pp. 75458. vol. 43 (1957), pp. 75458.
---. "Continuity of Solutions of Parabolic and Elliptic Equations." American Journal of Mathematics, American Journal of Mathematics, vol. 80 (1958), pp. 93158. vol. 80 (1958), pp. 93158.
---. "Le probleme de Cauchy pour les equations differentielles d'un fluide general." Bull. Soc. Math., France, Bull. Soc. Math., France, vol. 90 (1962), pp. 48797. vol. 90 (1962), pp. 48797.
---. "a.n.a.lyticity of Solutions of Implicit Function Problems with a.n.a.lytic Data." Annals of Mathematics, Annals of Mathematics, vol. 84 (1966), pp. 34555. vol. 84 (1966), pp. 34555.
---. "Arc Structure of Singularities." Duke Mathematical Journal, Duke Mathematical Journal, vol. 81, no. 1 (1996), pp. 3138. vol. 81, no. 1 (1996), pp. 3138.
---. Autobiographical essay, Les Prix n.o.bel 1994. Les Prix n.o.bel 1994. Stockholm: Norstedts Tryckeri, 1995. Stockholm: Norstedts Tryckeri, 1995.
---. Plenary lecture, World Congress of Psychiatry, Madrid, 8.26.96 (unpublished).
Nicholi, Armand M., Jr. The New Harvard Guide to Psychiatry. The New Harvard Guide to Psychiatry. Cambridge: The Belknap Press of Harvard University, 1988. Cambridge: The Belknap Press of Harvard University, 1988.
"Norbert Wiener 18941964." Bulletin of the American Mathematical Society, Bulletin of the American Mathematical Society, vol. 72, no. 1, vol. 72, no. 1, part ii part ii (1964). (1964).
Poundstone, William. Prisoners' Dilemma. Prisoners' Dilemma. New York: Doubleday, 1992. New York: Doubleday, 1992.
Regis, Ed. Who Got Einstein's Office? Who Got Einstein's Office? Reading, Ma.s.s.: Addison-Wesley, 1987. Reading, Ma.s.s.: Addison-Wesley, 1987.
Reid, Constance. Courant in Gottingen and New York. Courant in Gottingen and New York. New York: Springer Verlag, 1976. New York: Springer Verlag, 1976.
Rota, Gian-Carlo. Indiscrete Thoughts. Indiscrete Thoughts. Boston: Birkhauser, 1997. Boston: Birkhauser, 1997.
Sa.s.s, Louis A. Madness and Modernism. Madness and Modernism. New York: Basic Books, 1992. New York: Basic Books, 1992.
Sch.e.l.ling, Thomas C. The Strategy of Conflict. The Strategy of Conflict. Cambridge: Harvard University Press, 1960. Cambridge: Harvard University Press, 1960.
Storr, Anthony. Solitude: A Return to the Self. Solitude: A Return to the Self. New York: Ballantine Books, 1988. New York: Ballantine Books, 1988.
---. The Dynamics of Creation. The Dynamics of Creation. New York: Atheneum, 1972. New York: Atheneum, 1972.
Torrey, E. Fuller. Surviving Schizophrenia: A Family Manual. Surviving Schizophrenia: A Family Manual. New York: Harper & Row, 1988. New York: Harper & Row, 1988.
Trimble, Michael R. Biological Psychiatry. Biological Psychiatry. New York: John Wiley & Sons, 1996. New York: John Wiley & Sons, 1996.
Ulam, Stanislaw. Adventures of a Mathematician. Adventures of a Mathematician. New York: Scribner, 1983. New York: Scribner, 1983.
U.S. House of Representatives. Hearings. Hearings. Committee on Un-American Activities, April 22 and 23, 1953. Committee on Un-American Activities, April 22 and 23, 1953.
von Neumann, John, and Oskar Morgenstern. Theory of Games and Economic Behavior. Theory of Games and Economic Behavior. Princeton: Princeton University Press, 1944, 1947, 1953. Princeton: Princeton University Press, 1944, 1947, 1953.
Williams, John. The Compleat Strategyst. The Compleat Strategyst. New York: McGraw Hill, 1954. New York: McGraw Hill, 1954.
Winokur, George, and Ming Tsuang. The Natural History of Mania, Depression and Schizophrenia. The Natural History of Mania, Depression and Schizophrenia. Was.h.i.+ngton, D.C.: American Psychiatric Press, 1996. Was.h.i.+ngton, D.C.: American Psychiatric Press, 1996.
Zuckerman, Harriet. Scientific Elite: n.o.bel Laureates in the United States. Scientific Elite: n.o.bel Laureates in the United States. London: The Free Press, 1977. London: The Free Press, 1977.
Acknowledgments
MANY PEOPLE contributed to this book, two above all: my friend of twenty-five years, Ellen Tremper, who cheered me on and rendered invaluable a.s.sistance every step of the way, and Harold W. Kuhn, whose enthusiasm for the enterprise and intimate knowledge of John Nash and the mathematics community was a constant source of guidance and inspiration. No one could have done more. contributed to this book, two above all: my friend of twenty-five years, Ellen Tremper, who cheered me on and rendered invaluable a.s.sistance every step of the way, and Harold W. Kuhn, whose enthusiasm for the enterprise and intimate knowledge of John Nash and the mathematics community was a constant source of guidance and inspiration. No one could have done more.
I am deeply indebted to Alicia Larde Nash and Martha Nash Legg, without whose support I could not have embarked on this biography, much less completed it. I am also grateful to John David Stier, Eleanor Stier, and John Charles Martin Nash for their cooperation, and appreciate John Nash's benign "att.i.tude of Swiss neutrality" toward the undertaking.
No author was ever in better hands than those of Alice Mayhew, my editor, and Kathy Robbins, my agent - not to mention those of Simon & Schuster's terrific publis.h.i.+ng team, especially Robert Labrie, Victoria Meyer, Elizabeth Hayes, and Nira Weisel.
I am thankful to Amartya Sen and Phillip Griffiths for enabling me to spend a vital year as a Director's Visitor at the Inst.i.tute for Advanced Study in Princeton; Gian-Carlo Rota for a shorter but equally critical interlude at the MIT mathematics department; and Vivien Arterberry for a productive week at the RAND Corporation.
Joseph Lelyveld, Soma Golden Behr, and Glenn Kramon of The New York Times The New York Times granted me a generous leave of absence and enthusiastic support. granted me a generous leave of absence and enthusiastic support.
My colleagues Doug Frantz at The New York Times The New York Times and Rob Norton at and Rob Norton at Fortune Fortune gave much-appreciated advice and encouragement at every stage. gave much-appreciated advice and encouragement at every stage.
Avinash Dixit, Harold Kuhn, Roger Myerson, Ariel Rubinstein, and Robert Wilson patiently shared their insights about game theory and served as valuable sounding boards.
Donald Spencer, Harold Kuhn, Lars Hormander, Michael Artin, Joseph Kohn, John Milnor, Louis Nirenberg, and Jurgen Moser worked hard to help me convey the originality of Nash's contributions to pure mathematics clearly and accurately.
Superb histories by John McDonald, William Poundstone, Fred Kaplan, and David Halberstam provided much of the context for Nash's tenure at RAND. Ed Regis's lively history of the Inst.i.tute for Advanced Study and Rebecca Goldstein's delightful novel The Mind-Body Problem The Mind-Body Problem were also invaluable. were also invaluable.
Richard Jed Wyatt guided me through the vast and fascinating literature on schizophrenia. The extraordinary work of Louis Sa.s.s, Anthony Storr, John Gunderson, Kenneth Kendler, Irving Gottesman, Richard Keefe, James Gla.s.s, Kay Redfield Jamison, and E. Fuller Torrey provided inspiration as well as important information. Special thanks to Connie and Steve Lieber, the founders of the National Alliance for Research on Schizophrenia and Depression, for their interest in this project.
Psychiatrists Paul Howard, Joseph Brenner, Robert Garber, and Peter Baumecker provided firsthand descriptions of the inst.i.tutions where Nash was treated and glimpses into the mysteries of clinical psychiatry.
Jorgen Weibull and other members of the economics prize committee and the Swedish Academy of Sciences were wonderfully hospitable during my visit to Stockholm and helped me decipher the seemingly inscrutable process by which the ne plus ultra ne plus ultra of honors is bestowed. Sociologist Harriet Zuckerman's landmark study of n.o.bel Laureates served as an excellent road map. of honors is bestowed. Sociologist Harriet Zuckerman's landmark study of n.o.bel Laureates served as an excellent road map.
Lloyd Shapley's loving and lovely phrase "a beautiful mind" became, at Kathy Robbins's suggestion, the t.i.tle of the book.
I am infinitely grateful to the hundreds of individuals - mathematicians, economists, psychiatrists, and others who knew John Nash - who supplied the memories from which I've woven together his remarkable story. Every fragment, however tiny, added to the vividness of the whole, and each was gratefully received and treasured. In addition to those already cited, I am particularly indebted to Paul Samuelson, Arthur Mattuck, Paul Cohen, Odette Larde, Dorothy Thomas, Peter Lax, Cathleen Morawetz, Donald Newman, Al Vasquez, Richard Best, John Moore, Armand and Gaby Borel, Zipporah Levinson, Jerome Neuwirth, Felix and Eva Browder, Leopold Flatto, John Danskin, Emma Duchane, and Joyce Davis.
Archivists and librarians at Carnegie Mellon University, Princeton University, MIT, Harvard University, the Inst.i.tute for Advanced Study, the Rockefeller Archive Center, McLean Hospital, the Swiss National Archives, and the National Archive provided important material and expert guidance. Special thanks to Arlen Hastings, Momota Ganguli, and Elise Hansen at the Inst.i.tute for Advanced Study for making my year at the inst.i.tute so productive, and to Richard Wolfe for sharing his knowledge of the Cambridge intellectual community.
Ellen Tremper, Geoffrey O'Brien, Harold Kuhn, Avinash Dixit, Lars Hormander, Jurgen Moser, Michael Artin, Donald Spencer, Richard Wyatt, and Rob Norton read and commented on various drafts. Their painstaking efforts eliminated mistakes, improved expositions, and added important new insights. All errors that remain are, of course, mine.
My husband, Darryl McLeod, and children, Clara, Lily, and Jack, not only lived with this book and its harried author for three years, but pitched in - on the computer, in the library, around the house - when deadlines were looming and the sky seemed about to fall. For their love and patience I am most indebted.