An Idiot’s Fugitive Essays on Science pp 97-132 | Cite as

# The Role of Mathematics in Science as Exemplified by the Work of the Bernoullis and Euler (1979, 1981)

Chapter

## Abstract

The flight of man in space is the most astonishing achievement of engineering. Many factors were necessary to it. Everybody konws that one was numerical calculation on large machines. Another was the basic equations that the machines were told to solve, thousands and perhaps millions of times. The equations that govern the motion of a space capsule were discovered by mathematicians more than 200 years ago. Machines and methods of using them change often. The basic equations do not. They are permanent.

### Keywords

Explosive Gravel Conglomerate Defend Acoustics## Preview

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### Works Referred To

- S. Andreski,
*Social Sciences as Sorcery*, New York, St. Martin’s Press, 1972. The passages quoted may be found on pages 85, 124, 127, 129–131, 14 1143.Google Scholar - E. Chargaff, “Bitter fruits from the tree of knowledge: Remarks on the current revulsion from science”,
*Perspectives in Biology and Medicine***16**(1973): 466–502. The passages quoted are from §§**III**and IX.Google Scholar - E. Chargaff, “Variationen über Themen der Naturforschung nach Worten von Pascal und anderen”,
*Scheidewege***5**(1975): 365–398. Reprinted in his book:*Unbegreifliches Geheimnis*,Stuttgart, Klett-Cotta, 1980. The passages quoted above in English translation approved by Professor CHARGAFF may be found on pages 366–367, 370, 381, 387 of the original edition, pages 170–172, 175, 189, 196–197 of the reprint.Google Scholar - E. Chargaff, “Voices in the labyrinth: Dialogues around the study of nature”,
*Perspectives in Biology and Medicine***18**(1975): 251–330. The passage quoted in on page 253.Google Scholar - E. Chargaff, “Triviality in science: A brief meditation on fashion”,
*ibid*.**19**(1976): 324–333. The passage quoted is in § VII.Google Scholar - E. Chargaff, “In praise of smallness: How can we return to small science?”,
*ibid*.**23**(1980) : 370–385. The passages quoted are from §§ IV—VI.Google Scholar - P. A. M. Dirac, “The relation between mathematics and physics”,
*Proceedings of the Royal Society of Edinburgh***59**(1938/9): 122–129 (1939).MATHGoogle Scholar - P. A. M. Dirac, “Methods in theoretical physics”, pages 21–28 of
*From a Life in Physics*, IAEA Bulletin, 1962.Google Scholar - P. A. M. Dirac, “The evolution of the physicist’s picture of nature”,
*Scientific American***208**(1963): 43–53.CrossRefGoogle Scholar - A. Einstein, “Prinzipien der Forschung”, reprinted as the first essay in
*Mein Weltbild*, Amsterdam, Querido Verlag, 1933. My quotation is from page 20 of the translation by ALAN HARRIS,*The World as I See It*, New York, Covici-Friede, 1934.Google Scholar - A. Einstein, “Zur Methode der theoretischen Physik”, pages 176–187 of
*Mein Weltbild*,cited above. There are two English translations:*On the Method of Theoretical Physics*,New York, Oxford University Press, 1933, and pages 30–40 of*The World as I See It*,cited above. Both have helped me make the translations printed in the foregoing text.Google Scholar - P. A. M. Dirac, “The relation between mathematics and physics”,
*Proceedings of the Royal Society of Edinburgh***59**(1938/9): 122–129 (1939).MATHGoogle Scholar - N. Poussin, quoted on page 419 of J. R. Martin’s
*Baroque*, New York & Hagerstoun, Harper & Row, 1977.Google Scholar - P. A. M. Dirac, “The evolution of the physicist’s picture of nature”,
*Scientific American***208**(1963): 43–53.CrossRefGoogle Scholar - H. J. Sussmann & R. S. Zahler, “Catastrophe theory as applied to the social and biological sciences: a critique”,
*Synthèse*(1978): 117–216. See §§ 13 and 14.Google Scholar**13** - M. Thompson, “Mathematization in the sciences”, pages 243–250 of
*Mathematics Tomorrow*, edited by L. A. Steen, New York*etc*., Springer-Verlag, 1981.Google Scholar - A. G. Webster, address published on pages 60–62 of Volume
*3*of*Twenty-fifth Anniversary of Clark University**1889–1914*, Worcester, Massachusetts, Clark University Press, 1914.Google Scholar - A. Weil, “L’avenir des mathématiques”, pages 307–320 of
*Les Grands Courants de la Pensée Mathématique*,edited by F. LE LIONNAIS, Paris, Cahiers du Sud, 1947; 2“^{d}edition, Paris, Blanchard, 1962 = pages 359372 of Volume I of WEIL’s*OEuvres Scientifiques*,New York*etc*.,Springer-Verlag, corrected 2”^{d}printing, 1980. See page 360 of the last publication.Google Scholar - A. Weil, “Mathematical teaching in universities”,
*American Mathematical Monthly*(1954): 34–36 = pages 118–120 of Volume II of WEIL’s**61***OEuvres*. This article is “the outline of a lecture once given by the author at a joint meeting of the Nancago Mathematical Society and the Poldavian Mathematical Association.”Google Scholar

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© Springer-Verlag New York Inc. 1984