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Mathematics : people, problems, results

Author: Douglas M Campbell; John C Higgins
Publisher: Belmont, Calif. : Wadsworth International, ©1984.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Mathematics.
Belmont, Calif. : Wadsworth International, ©1984
(OCoLC)622344017
Document Type: Book
All Authors / Contributors: Douglas M Campbell; John C Higgins
ISBN: 0534028799 9780534028794 0534032001 9780534032005
OCLC Number: 9944213
Description: 3 volumes : illustrations ; 24 cm
Contents: v. 1. pt. 1. HISTORICAL SKETCHES. Egyptian mathematics and astronomy / Otto Neugebauer --
Mathematics in the time of the Pharaohs / Richard J. Gillings --
Greek mathematical philosophy / Edward Maziarz and Thomas Greenwood --
The Evolution of mathematics in ancient China / Frank Swetz --
The Muslim contribution to mathematics / Ali Abdullah Al-Daffa' --
The Japanese mathematics / Yoshio Mikami --
The music of the spheres / Jacob Bronowski --
Mathematics in civilization / H.L. Resnikoff and R.O. Wells, Jr. --
Old tripos days at Cambridge / A.R. Forsyth --
Old Cambridge Days --
Leonard Roth --
The work of Nicholas Bourbaki / Jean A. Dieudonné --
pt. 2. SOME MATHEMATICAL LIVES. On the seashore : Newton / E.T. Bell --
Gauss and the present situation of the exact sciences / Richard Courant --
William Rowan Hamilton : an appreciation / C. Lanczos --
John Edensor Littlewood / J.C. Burkill --
Hardy's A mathematician's apology / L.J. Mordell --
Some mathematicians I have known / George Pólya --
Women mathematicians / Marie-Louise Dubreil-Jacotin --Reminiscences of a mathematical immigrant to the United States / Soloman Lefschetz --
Graduate student at Chicago in the twenties / W.L. Duren, Jr. --
Helmut Hasse in 1934 / S.L. Segal --
Adventures of a mathematician / Stanislaw M. Ulam --
Adventures of a mathematician : a review / H.E. Robbins --
The legend of John von Neumann / P.R. Halmos --
Von Neumann : only human in spite of himself / Steve J. Heims --
A review of Jon von Neumann and Norbert Wiener, from Mathematics to the technologies of life and death, by Steve J. Heims / Marshall H. Stone --
pt. 3. THE DEVELOPMENT OF MATHEMATICS. The mathematician / John von Neumann --
Some thoughts on the history of mathematics / Abraham Robinson --
The origin and growth of mathematical concepts / R.L. Wilder --
A dialogue on the applications of mathematics / Alfréd Rényi --
The crisis in contemporary mathematics / Errett Bishop --
Mathematical problems / David Hilbert --
How mathematicians develop a branch of pure mathematics / Harriet F. Montague and Mabel D. Montgomery --Emotional perils of mathematics / Donald R. Weidman --
How Africans count / Claudia Zaslovsky --
Appendix : Hilbert's 23 problems. v. 2. pt. 1. THE NATURE OF MATHEMATICS. Mathematics and creativity / Alfred Adler --
The meaning of mathematics / Morris Kline --
Mathematics as a creative art / P.R. Halmos --
Definitions in mathematics / Émile Borel --
The role of intuition / R.L. Wilder --
Mathematics : our invisible culture / Allen L. Hammond --
On the present incompleteness of mathematical ecology / L.B. Slobodkin --
Preface to The common sense of the exact sciences / Bertrand Russell --
pt. 2. REAL MATHEMATICS. The early history of Fermat's last theorem / Paulo Ribenboim --
[pi] and E / E.C. Titchmarsh --
Geometrical constructions : the algebra of number fields / Richard Courant and Herbert Robbins --
Bicycle tubes inside out / Herbert Taylor --
The calculus according to Newton and Leibniz / C.H. Edwards, Jr. --
Non-Euclidean geometry / Stephen F. Barker --
The idea of chance / Jacob Bronowski --
Hilbert's 10th problem / Martin Davis and Reuben Hersh --
The Riemann hypothesis / Philip J. Davis and Reuben Hersh --
The four-color problem / Kenneth Appel and Wolfgang Haken --
Group theory and the postulational method / Carl H. Denbow and Victor Goedicke --
pt. 3. FOUNDATIONS AND PHILOSOPHY. The three crises in mathematics : logicism, intuitionism, and formalism / Ernst Snapper --
Proofs and refutations / Imre Lakatos --
Mathematics and computer science : coping with finiteness / Donald E. Knuth --
Are logic and mathematics identical? / Leon Henkin --
C.S. Peirce's philosophy of infinite sets / Joseph W. Dauben --
Proof / Philip J. Davis and Reuben Hersh --
Impossibility / Ian Richards --
Analogies and metaphors to explain Gödel's theorem / Douglas R. Hofstadter. v .3. pt. 1. COMPUTERS. The language of computers / Lord Bowden --
Infinite loops in computer programs / Arthur Charlesworth --Social processes and proofs of theorems and programs / Richard A. De Millo, Richard J. Lipton, and Alan J. Perlis --
Computer Science and mathematics / Donald E. Knuth --
Analysis of algorithms : coping with hard problems / Gina Bari Kolata --
The computer versus Kepler / Owen Gingerich --
Some moral and technical consequences of automation / Norbert Wiener --
Some moral and technical consequences of automation : a refutation / Arthur L. Samuel --
pt. 2. MATHEMATICS IN ART AND NATURE. Beauty in mathematics / François Le Lionnais --
Archirecture and the mathematical spirit / Le Corbusier --
Mathematics and music / Henri Martin --
Does pure mathematics have a relation to the sciences? / Felix E. Browder --
The unreasonable effectiveness of mathematics in the natural sciences / Eugene P. Wigner --
Nonanalytic aspects of mathematics and their implication for research and education / Philip J. Davis and James A. Anderson --Mathematics and population / Nathan Keyfitz --
pt. 3. COUNTING, GUESSING, USING. Statistics, sports, and some other things / Robert Hooke --
Statistics, Molière, and Henry Adams / William Kruskal --
Deciding authorship / Frederick Mosteller and David L. Wallace --
The size of things / Herber A. Simon --
Mathematicians in industry : the first 75 years / Thornton C. Fry --
Purity in applications / Tim Poston --
Applied mathematics is bad mathematics / Paul R. Halmos --
Early years of the mathematics program at ONR / Mina Rees --
pt. 4 SOCIOLOGY AND EDUCATION. Sex-related differences in mathematics achievement : where and why / Elizabeth Fennema --
Rigor versus intuition in mathematics / John G. Kemeny --
Some social characteristics of mathematics and their work / Charles S. Fisher --
Mathematics as propaganda / Neal Koblitz --Can we make mathematics intelligible? / R.P. Boas --
The nature of current mathematical research / Morris Kline --
Two reviews of Why the professor can't teach / Harry Pollard and Peter Hilton --
How to teach a robot / Marvin Minsky.
Responsibility: edited by Douglas M. Campbell and John C. Higgins.

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