The Mind of the Mathematician

Index

175 Index Abel, Niels, 14, 26, 51, 83–84, 93, 95 Abelian functions, 121 aesthetic feeling, ix, 48 Agnesi, Maria, 25, 34 Aitken, A. C., 10, 18–19 Alexandrov, P. S., 14 allergies, 28, 29, 118 Ammann, Robert, 39 analytical engine, 99 anorexia nervosa, 100 antiparticles, 154 aperiodic tilings, 39 Apostles, the, 136 Appell, Paul, 124 Archimedes, 13 Aristotelian thought, 44 Artillery of the National Guard, 94 Asperger, Hans, xi, xii, 57, 59 Asperger syndrome, xi–xii, xiii, 8, 9, 35, 57–60, 62, 92, 116, 124, 130, 139, 142, 146, 152, 158, 162; and creativity, xi, xii, 59, 81, 92 autism, xi–xii, 9, 16–17, 39, 40, 45, 57, 62; and mathematics, 60; and music, 58 autistic-spectrum quotient, 60 autistic superego, 81 axiomatic set theory, 122 Babbage, Charles, 8, 98–99 Bach, Carl Philipp Emanuel, 10 Bach, Johann Sebastian, 11 Bacon, Francis, 107, 108 Balsas, Margit, 157 Banach, Stefan, 14, 18, 27 Bartók, Béla, 40 Barton, Catherine, 13 Bayly, Helen Maria, 90 Bell, Eric Temple, x, 12, 14, 31 Bernoulli family, 26 Bernoulli numbers, 99 Berthollet, Claude, 75 Bidder, George Parker, 15 Binet, Alfred, xi bipolar disorder, xiii, 9, 58, 60–63, 99– 100, 101, 107–8 Birkho√, George, 47 black holes, 36 Bohr, Niels, 154, 156, 158 Bolyai, Janos, 10 Bonaparte, Napoleon, 8, 69, 76 Boole, George, 8 Bordeaux, Duke of, 78 Born, Max, 156 Bourbon monarchy, 78, 80 Boutroux, Pierre, 120–21 Box, Joan Fisher, 152 176 Index brain modularity, xi, 20 brain organization, 27, 29–30, 43 British Association for the Advancement of Science, 90 Brouwer, L. E. J., 14, 128 Brunswick, Duke of, 26 Bryn Mawr College, 140–41 Bunsen, Robert, 112 Busch, Johann Georg, 10 Buxton, Jedediah, 15 Byron, Ada, 26, 59, 60, 97–101 Byron, Annabella, 26, 97–98 Byron, George Gordon, Lord, 97–98, 101 calculus, 43, 68 calendrical calculators, 15, 16 Cambridge University, 9, 31, 60, 135–38, 145–46, 149–50, 156 Cantor, Georg, 9, 10, 60, 105–10, 122 Cantor, Georg Woldemar, 105–6 Carroll, Lewis. See Dodgson, C. L. Cartan, Elie, 5, 27 Cauchy, Augustin-Louis, 9, 12, 13, 75–81, 82, 84, 93, 119 Cauchy, Louis-François, 75, 76 caustics, 89 Charles X, 78, 93 Chevalier, Auguste, 95, 96–97 Claparède, Edouarde, x, 11, 46 cognitive styles, 43; auditory, 45, 46, 123; conceptual, 140; graphic, 46; intuitive , 43, 44; logical, 43; mixed, 46; modular, 20; motor, 47; verbal, 43– 44, 47; verbal-motor, 46; visual, 43– 45, 46, 47–48 Colburn, Zerah, 15 Comptes rendus, 79, 80 computing, 99 Concordet, Marquis de, ix Concours Général, 75, 92, 119, 131 Congrégation de la Sainte Vierge, 77 Connes, Alain, ix, 45, 54 Conti, Vittoria, 68 continuum hypothesis, 161 Copley medal, 158 Courant, Richard, ix, 11, 13, 46, 60, 126– 27, 128–29, 130 creativity, xi, 34, 48, 56 cyclothymia, 61, 62, 107, 116, 153 d’Alembert, Jean le Rond, 67, 68, 70 Darwin, Charles, 98, 112 Dase, Johann Martin Zacharias, 15 de Bure, Aloise, 77 Dedekind, Richard, 10, 73–74, 86, 103, 104, 107 Dehn, Max, 6 de Morgan, Augustus, 6, 10, 13, 98 depression, 60–63, 68, 81, 109, 127, 129, 161 Descartes, René, 69 developmental disorders, xiii, 34, 54–60 Devi, Shakuntala, 15 d’Herbinville, Pescheux, 96 Diamondi, Pericles, 15 Dirac, Charles, 155 Dirac, Florence, 155 Dirac, Paul, 9, 154–59 Dirac, Reginald, 155–56 Dirichlet, Lejeune, 26, 81–87, 102, 103 Disney, Catherine, 90, 91 Disney, Walt, 162 Dodgson, C. L., 12 Douglas, Jessie, 47 Dreyfus a√air, 133 Du Bois-Reymond, Emil, 112 Dubost, Antonin, 27 Dumas, Alexandre, 94 Dunham, William, 7 dyslexia, 29 École Normale, 69 École Normale Supérieure, 93, 94, 95, 119, 131, 132–33 Index 177 École Polytechnique, 69, 76–77, 83, 84, 89, 92, 93, 119, 120, 131, 132 Ehrenfest, Paul, 156 Einstein, Albert, 7, 10–11, 40, 45, 47–48, 53, 56, 58, 127, 128, 161, 162 Eisenstein, Gotthold, 86, 102 electron, relativistic wave equation of, 154 Eliot, George, 112 Erdös, Paul, 7, 35, 41 Euclid, 89 Euler, Leonhard, 14, 18, 43, 84, 120 Exercices de mathématiques, 79 Faraday, Michael, 45 Fermat, Pierre de, 25, 52 Fermat’s Last Theorem, 63 Fisher, Ronald Aylmer, 9, 14, 28, 149–52 Floer, Andreas, 63 Flournoy, Théodore, x, 11, 46 Fourier, Joseph, 26, 82, 83, 93 Fowler, Ralph, 156 Foy, General Maximilien, 26, 82 Francesca, Piero della, 12...