A Beautiful Mind
Page 69
Mary Nash College for Women, 26
Nash equilibrium, 115, 118, 119, 329, 339, 361–62, 375
assessment of, 96–98
dominant vs. dominated strategies in, 97
elaboration of, 93–96
see also Nobel Prize in economics of 1994
Nash-Moser theorem, 159
Nathanson, Melvyn, 346
National Academy of Sciences, 95, 115, 131
National Science Foundation (NSF), 107, 236, 296, 313, 314
Navier-Stokes equations, 297
Navy, U.S., 82, 83, 125, 126, 134, 135
negotiation, in game theory, 120
Nehru, Jawaharlal, 278
Nelson, Ed, 284, 286, 296, 300
Nerval, Gerard de, 228
Neuwirth, Jerome, 144, 182, 231
New Jersey Transit, 346
Newman, Donald “D.J.,” 12, 139, 143, 144–45, 146, 169, 180, 200, 237, 240
on Bricker and Nash, 180
on Nash, 159
Nash’s McLean commitment and, 257–258
and onset of Nash’s schizophrenia, 243, 246
Newman, Herta, 143, 181, 196, 200
Newman, Peter, 329
New Palgrave, The, 20, 98
Newton, Isaac, 12, 15, 17, 35, 51, 52, 56, 85, 94
New York Times, 70, 86, 100, 236, 241–42, 374
New York University, see Courant Institute of Mathematical Sciences
New Zealand, 377
Nietzsche, Friedrich, 12, 139, 235
Nijenhuis, Albert, 205, 206
Nilges, Edward G., 350
Nimitz, Nancy, 185
Nirenberg, Louis, 203, 216, 218–19, 243, 301
Nobel, Alfred, 358, 362
Nobel Foundation, 357, 358
Nobel Prize in economics, 55, 107
ad hoc committee on future of, 372–73
criteria for, 358
establishment of, 358, 368
1972, 108
1986, 364
1991, 364
1993, 363
proposed abolition of, 368
reform of, 369
selection process for, 358–60
unpopularity of, 368
Nobel Prize in economics of 1994, 150, 224, 275/297
ceremonies for, 374, 379–80
delayed press conference about, 356–57
deliberations on, 357, 360–73
dinner in celebration of, 77
Nash informed of, 22, 371, 373
voting for, 370–72
Nobel Prize in literature, 357
Nobel Prize in peace, 357
Nobel Prize in physics:
1943, 41
1963, 53
nonexpanding universe, 380, 382
nonlinear partial differential equations, 217–20, 223–24, 226, 231, 234, 243, 247, 300, 318
non-zero-sum games, 87
Norfolk & Western Railroad, 28, 104, 323
North, Douglass, 354, 363
North Carolina, University of, 148
NSF (National Science Foundation), 107, 236, 296, 313, 314
nuclear weapons, 56–57
game theory and, 119
hydrogen bomb, 81, 93, 109, 110
Manhattan Project and, 56, 81, 107, 110, 153, 193
RAND and, 104–5, 106, 109, 119, 121
number theory, 21, 35, 45, 56, 346
see also Riemann Hypothesis
numerology, 334–35, 350
Office of Naval Research (ONR), 123, 124, 125, 126, 219, 313, 314
Office of the Chief of Ordnance, 56
Ohlin, Bertil, 359
ONR (Office of Naval Research), 123, 124, 125, 126, 219, 313, 314
Operation Match, 319
operations research, 56
Oppenheimer, Robert, 19, 50, 53, 79, 193
hydrogen bomb and, 81, 93, 109
on IAS, 215
McCarthyism and, 110, 153
Nash’s argument with, 220–21
Nash’s IAS appointments and, 296, 308, 311
on Nash’s sanity, 294
Oskar II, king of Sweden and Norway, 129
Ostrowski, Alexander, 303
Otis, William, 305
Pais, Abraham, 221
Palais, Richard, 231–32, 313, 317, 319, 321
Palme, Olof, 359, 364
parabolic equations, see nonlinear partial differential equations
Parker, Charlie, 156
Parker Brothers, 76, 78
Parmet, Belle, 307
partial differential equations, 137–38
nonlinear, 217–20, 223–24, 226, 231, 234, 243, 247, 300, 318
Partial Differential Relations (Gromov), 158
Patri, Angelo, 33
Peisakoff, Melvin, 72, 126
Personality of Criminals, The (Stearns), 261
Persson, Torsten, 362, 364, 367
Pitts, Walter, 134
Plath, Sylvia, 211, 255
Plato, 94
Poincaré, Jules Henri, 12, 45, 93, 129
Polya, George, 230
Portugal, 290
Post, Emil, 180
Poundstone, William, 76, 106, 119
“Preliminary Design of an Experimental World-Circling Spaceship,” 106
Princeton, N.J.
history of, 49
as mathematics capital, 50–51
Princeton University, 45
description of, 50
dinner at, 61–62
graduate housing at, 61–62
history of, 51
student life at, 61–62
Princeton University mathematics department games played at, 75–78
girls absent from, 62
grades as fiction at, 60
Nash offered one-year post at, 309–10, 311, 312
Nash’s fellowship to, 46
Nash’s graduate work at, 45–47, 49, 58–98
philosophy of education at, 60–61
rise of, 52–57, 58
students of, 64–65
teatime at, 63, 67
Principia (Newton), 85
Prisoner’s Dilemma, 118–19, 150
Prisoners Dilemma (Poundstone), 76
Private Terror/Public Places (Glass), 335
“Problème de Cauchy Pour les Equations Differentielles d’une Fluide Générale, Le” (Nash), 297
Prospect High School, 192
William Lowell Putnam Mathematics Competition, 43–44, 72, 144
Pythagoras, 94
Pythagoras’ Trousers (Wertheim), 334
quantum theory, 45, 70, 81, 138, 202, 220–221, 222–23, 236
Queen Mary, 265, 269, 282, 311–12
Rademacher, Hans, 246
Radio Corporation of America (RCA), 283, 341
Raiffa, Howard, 122
Ramanujan, Srinivasa, 12, 45, 60–61
RAND Corporation, 72, 100, 103, 104–23, 124, 147–51, 321, 363
description of, 105–7, 111–12
game theory and, 104–5, 108, 111, 115–122, 149–51
location of, 108
Nash’s dismissal from, 184–89
Nobel deliberations and, 366
practical jokes at, 111
“RAND Hymn, The” (Reynolds), 104
Randol, Burton, 286
Rappaport, Anatole, 303
rational conflict and cooperation, theory of, 13
Raymond, Sister, 193–94
RCA (Radio Corporation of America), 283, 341
Reboul, Mark, 332
Red Cross, 191
Reed-Solomon code, 144
Reidemeister group, 69
relativity, 45, 56
general theory of, 52, 70, 86, 380
special theory of, 51–52, 70, 86, 231
Reynolds, Donald V., 36, 37
Reynolds, Malvina, 104
Ricardo, David, 88
Richardson, Gillian, 297
Rider College, 345, 351
Riemann, Georg Friedrich Bernhard, 12, 129, 157, 230
Riemann Hypothesis, 19, 20, 13
8, 229–32, 236, 238, 241, 243, 277
Nash’s presentations on, 245–46, 251
Riemannian manifolds, embedding of, 155–63, 203, 204, 218, 219, 345
Rigby, Fred D., 125, 126
Risperadol, 384
Roberts, John, 376, 377
Robinson, Julia, 38
Rockefeller, Nelson, 336
Rockefeller Foundation, 53, 84
Rogers, Adrienne, 223
Rogers, Hartley, 76, 223, 241
Roosevelt, Franklin D., 56
Rose, Wickliffe, 53
Rosenberg, Ethel, 110, 185
Rosenberg, Julius, 110, 185
Rota, Gian-Carlo, 59, 162, 220, 223, 236
Nash’s McLean commitment and, 257
and onset of Nash’s schizophrenia, 241, 251
Rota, Terry, 223
Roth, Al, 150, 362
Roth, Klaus F., 226
Rothschild, Michael, 374
Rousseau, Jean-Jacques, 273
Royal Swedish Academy of Arts and Letters, 357
Royal Swedish Academy of Sciences, 356–373
secrecy of, 357
see also Nobel Prize in economics
Rubinstein, Ariel, 354–55, 360, 362
Rudolf, Archduke, 191
Russell, Bertrand, 14, 35, 118
Russell, Henry Norris, 51
Russell, Lindsay, 172
Rutgers University, 346
Sabin, Betty, 195
SAC (Strategic Air Command), 121
Sacco, Nicola, 261
Sackel, Manfred, 293
St. Paul’s church, 302
Salazar, Antonio de Oliveira, 290
Samuelson, Paul A., 55, 86, 265, 375
on MIT, 133, 134
on Nash’s parsimony, 232–33
Nobel awarded to, 55, 358, 360
at RAND, 108, 117
Santa Monica Evening Outlook, 108, 184, 187
Sarnak, Peter, 349
Sartre, Jean-Paul, 15, 271
Sass, Louis A., 18, 295
Sayles, John, 28
Schell, Haskell, 250, 251
Schelling, Thomas C, 111, 115–16, 122
in Nobel deliberations, 363, 364
schizophrenia, 15–19, 324
achievement impaired by, 318–19
causes of onset of, 126, 188
creativity and, 15–16
as episodic illness, 345
“extreme contrariness” in, 271
genius and, 19
Glass on, 278
Haslam’s description of, 275
insensitivity to pain in, 328–29
negative symptoms of, 328, 352
studies on remission in, 351–53
suicide and, 308, 352, 353
see also Nash, John Charles Martin; Nash, John F., Jr.
Schläfli, Ludwig, 157
Schneider, Mark, 333
Schwartz, Jacob, 159–60, 162, 231
Scott, Frank L., 302, 306
Scott, T. H., 124
Segal, Irving E., 103
Selberg, Atle, 229, 230, 232, 241, 245, 296, 297, 312
IAS membership arranged by, 308
visiting positions sought through, 309
Selten, Reinhard, 98, 354, 362, 374
at 1961 conference, 297
Nobel deliberations on, 363, 364, 371, 373
Serling, Rod, 301
Serre, Jean-Pierre, 312
set theory, axiomatization of, 81
Shapiro, Harold N., 147, 245, 367
Shapley, Harlow, 39, 100, 152
Shapley, Lloyd S., 39, 99–103, 112, 113, 117, 119, 120, 122, 152, 208, 321, 388
in Econometric Society, 354
Nash’s arrest and, 187
on Nash’s illness, 299–300
in Nobel deliberations, 363, 364
remission noted by, 350
von Neumann prize arranged by, 338–339, 354
Sheldon, Elizabeth, 27–28
Shelley, Mary Wollstonecraft, 273
Shelley, Percy Bysshe, 269
Sherman, Agnes, 284
Sherman, Michael, 284
Sherman Institute, 26
Shubik, Martin, 63, 101, 102, 120, 208, 286
in Econometric Society, 354, 355
Nobel deliberations and, 366
Siegel, Carl Ludwig, 226
Siegel, George, 43, 45
Siegel, Robert, 42
Simon, Herbert, 108, 117
Singer, Isadore M., 142, 144–45, 162, 203
Nash’s McLean commitment and, 260
singularities, canonical resolution of, 318
Slater, J. C, 222–23
Sloan Fellowships, 202, 236, 280
Smith, Adam, 15, 88, 119, 151, 374–75
Smith (Nash), Martha (grandmother), 26
Social Democratic Party (Sweden), 359, 364, 366
Sohlman, Michael, 357
Solomon, Gustave, 144, 180
“So Long, Sucker,” 102
Solow, Robert, 134, 232, 233
Sophocles, 94
Soviet Union, 109, 110, 118, 119, 121
special theory of relativity, 51–52, 70, 86
Spencer, Donald, 93, 129–30, 131, 132, 141, 285, 291, 295
Carrier Clinic visits of, 307
description of, 130
IAS appointment obtained through, 296
Michigan position arranged by, 303, 304
Moore visited by, 341
Sputnik 106, 222
Stahl, Ingemar, 362, 364–72
Stahl, Ingolf, 362
Stanton, Alfred H., 259
Starr, Norton, 344
Stearns, A. Warren, 261, 265
Steenrod, Norman, 64, 68, 69, 92, 93, 96, 129, 131, 137, 204, 229
Forrester and, 204
Kriegspiel played by, 76
Nash defended by, 73
Nash’s job search and, 132
as sounding board for Nash, 71–72
Stein, Eli, 224, 229, 231, 232, 233, 237
Stelazine, 315, 329
Stern, Otto, 41
Sternberg, Shlomo, 216
Stevenson, Adlai, 140
Stier, Eleanor, 172–79, 199, 201, 208, 296, 327–28
Alicia Larde’s meeting with, 201–2
background of, 173
Bricker and, 177, 178, 181, 182, 206–7