Contributor
Newman, James R. (James Roy), 1907-1966.
Imprint:New York : Simon and Schuster, 1956.
Description4 v. (xviii, 2535 p.) : ill. ; 23 cm.
Note:V. 1. PART I: GENERAL SURVEY: 1. The nature of mathematics / Philip E.B. Jourdain -- PART II: HISTORICAL AND BIOGRAPHICAL: 1. The great mathematicians / Herbert Westren Turnbull -- 2. The Rhind papyrus / James R. Newman -- 3. Archimedes / Plutarch, Vitruvius, Tzetzes -- 4. Greek mathematics / Ivor Thomas -- 5. The declaration of the profit of arithmeticke / Robert Recorde -- 6. Johanne Kepler / Sir Oliver Lodge -- 7. The geometry / René Descartes -- 8. Isaac Newton / E.N. da C. Andrade -- 9. Newton, the man / John Maynard Keynes -- 10. The analyst / Bishop Berkeley -- 11. Gauss, the prince of mathematicians / Eric Temple Bell -- 12. Invariant twins, Cayley and Sylvester / Eric Temple Bell -- 13. Srinivasa Ramanujan / James R. Newman -- 14. My mental development / Bertrand Russell -- 15. Mathematics as an element in the history of thought / Alfred North Whitehead -- PART III: ARITHMETIC, NUMBERS AND THE ART OF COUNTING: 1. The sand reckoner / Archimedes -- 2. Counting / Levi Leonard Conant -- 3. From numbers to numerals and from numerals to computation / David Eugene Smith, Jekuthiel Ginsburg -- 4. Calculating prodigies / W.W. Rouse Ball -- 5. The ability of birds to "count" / O. Koehler -- 6. The queen of mathematics / Eric Temple Bell -- 7. On the binomial theorem for fractional and negative exponents / Isaac Newton -- 8. Irrational numbers / Richard Dedekind -- 9. Definition of number / Bertrand Russell -- PART IV: MATHEMATICS OF SPACE AND MOTION: 1. The exactness of mathematical laws / William Kingdon Clifford -- 2. The postulates of the science of space / William Kingdon Clifford -- 3. On the space theory of matter / William Kingdon Clifford -- 4. The seven bridges of Königsberg / Leonard Euler -- 5. Topology / Richard Courant, Herbert Robbins -- 6. Dürer as a mathematician / Erwin Panofsky -- 7. Projective geometry / Morris Kline -- 8. On the origin and significance of geometrical axioms / Hermann Von Helmholtz -- 9. Symmetry / Hermann Weyl.
Note:V. 2. PART V: MATHEMATICS AND THE PHYSICAL WORLD: 1. Mathematics of motion / Galileo Galilei -- 2. Kinetic theory of gases / Daniel Bernoulli -- 3. The longitude / Lloyd A. Brown -- 4. John Couch Adams and the discovery of Neptune / Sir Harold Spencer Jones -- 5. Atomic numbers / H.G.J. Moseley -- 6. The Röntgen rays / Sir William Bragg -- 7. Crystals and the future of physics / Philippe Le Corbeiller -- 8. What is calculus of variations and what are its applications? / Karl Menger -- 9. The soap-bubble / C. Vernon Boys -- 10. Plateau's problem / Richard Courant, Herbert Robbins -- 11. Periodic law of the chemical elements / Dmitri Mendeléeff -- 12. Mendeléeff / Bernard Jaffe -- 13. Mathematics of heredity / Gregor Mendel -- 14. On being the right size / J.B.S. Haldane -- 15. Mathematics of natural selection / J.B.S. Haldane -- 16. Heredity and the quantum theory / Erwin Schrödinger -- 17. On magnitude / D'Arcy Wentworth Thompson -- 18. The uncertainty principle / Werner Heisenberg -- 19. Causality and wave mechanics / Erwin Schrödinger -- 20. The constants of nature / Sir Arthur Stanley Eddington -- 21. The new law of gravitation and the old law / Sir Arthur Stanley Eddington -- 22. The theory of relativity / Clement V. Durell -- PART VI: MATHEMATICS AND SOCIAL SCIENCE: 1. Gustav Theodor Fechner / Edwin G. Boring -- 2. Classification of men according totheir natural gifts / Sir Francis Galton -- 3. Mathematics of population and food / Thomas Robert Malthus -- 4. Mathematics of value and demand / Augustin Cournot -- 5. Theory of political economy / William Stanley Jevons -- 6. Mathematics of war and foreign politics / Lewis Fry Richardson -- 7. Statistics of deadly quarrells / Lewis Fry Richardson -- 8. The theory of economic behavior / Leonid Hurwicz -- 9. Theory of gamees-- S. Vajda -- 10. Sociology learns the language of mathematics / Abraham Kaplan -- PART VII: THE LAWS OF CHANCE: 1. Concerning probability / Pierre Simon de Laplace -- 2. The red and the black / Charles Sanders Peirce -- 3. The probability of induction / Charles Sanders Peirce -- 4. The application of probability to conduct / John Maynard Keynes -- 5. Chance / Henri Poincaré -- 6. The meaning of probability / Ernest Nagel.
Note:V. 3. PART VIII: STATISTICS AND THE DESIGN OF EXPERIMENTS: 1. Foundations of vital statistics / John Graunt -- 2. First life insurance tables / Edmund Halley -- 3. The law of large numbers / Jacob Bernoulli -- 4. Sampling and standard error / L.C. Tippett -- 5. On the average and scatter / M.J. Moroney -- 6. Mathematics of a lady tasting tea / Sir Ronald A. Fisher -- 7. The vice of gambling and the virtue of insurance / George Bernard Shaw -- PART IX: THE SUPREME ART OF ABSTRACTION: GROUP THEORY: 1. The group concept / Cassius J. Keyser -- 2. The theory of groups / Sir Arthur Stanley Eddington -- PART X. MATHEMATICS OF INFINITY: 1. Mathematics and the metaphysicians / Bertrand Russell -- 2. Infinity / Hans Hahn -- PART XI: MATHEMATICAL TRUTH AND THE STRUCTURE OF MATHEMATICS: 1. On the nature of mathematical truth / Carl G. Hempel -- 2. Geometry and empirical science / Carl G. Hempel -- 3. The axiomatic method / Raymond L. Wilder -- 4. Goedel's proof / Ernest Nagel, James R. Newman -- 5. A mathematical science / Oswald Veblen, John Wesley Young -- 6. Mathematics and the world / Douglas Gasking -- Mathematical postulates and human understanding / Richard Von Mises -- PART XII: THE MATHEMATICAL WAY OF THINKING: 1. The study that knows nothing of observation / James Joseph Sylvester -- 2. The essence of mathematics / Charles Sanders Peirce -- 3. The economy of science / Ernst Mach -- 4. Measurement / Norman Campbell -- 5. Numerical laws and the use of mathematics in science / Norman Campbell -- 6. The mathematical way of thinking / Hermann Weyl -- PART XIII. MATHEMATICS AND LOGIC: 1. Mathematical analysis of logic / George Boole -- 2. History of symbolic logic / Clarence Irving Lewis, Cooper Harold Langford -- 3. Symbolic notation, Haddocks' eyes and the dog-walking ordinance / Ernest Nagel -- 4. Symbolic logic / Alfred Tarski -- PART XIV: THE UNREASONABLENESS OF MATHEMATICS: 1. Paradox lost and paradox regained / Edward Kasner, James R. Newman -- 2. The crisis in intuition / Hans Hahn -- PART XV: HOW TO SOLVE IT: 1. How to solve it / G. Polya -- PART XVI: THE VOCABULARY OF MATHEMATICS: 1. New names for old / Edward Kasner, James R. Newman -- PART XVII: MATHEMATICS AS AN ART: 1. Mathematics as an art / John William Navin Sullivan.
Note:V. 4. PART XVIII: THE MATHEMATICIAN: 1. A mathematician's apology / G.H. Hardy -- 2. Mathematical creation / Henri Poincaré -- 3. The mathematician / John von Neumann -- PART XIX: MATHEMATICAL MACHINES: CAN A MACHINE THINK? 1. The general and logical theory of automata / John von Neumann -- 2. Can a machine think? / A.M. Turing -- 3. A chess-playing maaching / Claude Shannon -- PART XX: MATHEMATICS IN WARFARE: 1. Mathematics in warfare / Frederick William Lanchester -- 2. How to hunt a submarine / Phillip M. Morse, George E. Kimball -- PART XXI: A MATHEMATICAL THEORY OF ART: 1. Mathematics of aesthetics / George David Birkhoff -- PART XXII: MATHEMATICS OF THE GOOD: 1. A mathematical approach to ethics / George David Birkhoff -- PART XXIII: MATHEMATICS IN LITERATURE: 1. Cycloid pudding / Jonathan Swift -- 2. Young Archimedes / Aldous Huxley -- 3. Geometry in the South Pacific / Sylvia Townsend Warner -- 4. Inflexible logic / Russell Maloney -- 5. The law / Robert M. Coates -- PART XXIV: MATHEMATICS AND MUSIC: 1. Mathematics of music / Sir James Jeans -- PART XXV: MATHEMATICS AS A CULTURE CLUE: 1. Meaning of numbers / Oswald Spengler -- 2. The locus of mathematical reality: an anthropological footnote / Leslie A. White -- PART XXVI: AMUSEMENTS, PUZZLES, FANCIES: 1. Assorted paradoxes / Augustus de Morgan -- 2. Flatland / Edwin A. Abbott -- 3. What the tortoise said to Achilles and other riddles / Lewis Carroll -- 4. The lever of Mahomet / Richard Courant, Herbert Robbins -- 5. Pastimes of past and present times / Edward Kasner, James R. Newman -- 6. Arithmetical restorations / W.W. Rouse Ball -- 7. The seven seven's / W.E.H. Berwick -- 8. Easy mathematics and lawn tennis / T. J. I'A. Bromwich -- 9. Mathematics for golfers / Stephen Leacock -- 10. Common sense and the universe / Stephen Leacock.
Bibliography Note:Bibliographical footnotes.
Note:Recommended in Books for College Libraries ; Mathematical Association of America ; Resources for College Libraries
