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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
Database:WorldCat
Summary:
Based upon the principle that graph design should be a science, this book presents the principles of graph construction. The orientation of the material is toward graphs in technical writings, such as journal articles and technical reports. But much of the material is relevant for graphs shown in talks and for graphs in nontechnical publications. -- from back cover.
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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.

Abstract:

Based upon the principle that graph design should be a science, this book presents the principles of graph construction. The orientation of the material is toward graphs in technical writings, such as journal articles and technical reports. But much of the material is relevant for graphs shown in talks and for graphs in nontechnical publications. -- from back cover.

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