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RICE UNIVERSITY STUDIES
approximation with innumerably many “local” deformations (like Hopf
blow-up) deeply affecting, if not totally destroying, whatever “pleasant”
consequences symmetries might entail. Such are facts of our life, mathe-
matical and other, and the oncoming generations of mathematicians will
simply have to cope with them.
REFERENCES
[2] Bochenski, I. M., A History of Formal Logic, trans, and ed. by
Ivo Thomas, University of Notre Dame Press, Notre Dame,
Indiana (1961).
[2] Mates, Benson, Stoic Logic, California University Press, Berkeley,
Calif. (1953).
[3] Newton, Isaac, Mathematical Principles of Natural Philosophy,
ed. by Florian Cajori, California University Press, Berkeley,
Calif. (1962).
[4] Bochner, Salomon, The Role of Mathematics in the Rise of Science.
Princeton University Press, Princeton, N. J. (1966).
[5] Boyer, Carl B.,A History OfMathematics, John Wiley & Sons, New
York (1968).
[6] ------, The History of the Calculus, Dover, N. Y. (1949).
[7] Braunmuhl, A. von, Vorlesungen iiber Geschichte der Trigonométrie,
2 vol., Teubner, Leipzig (1900-1903).
[3] Oeuvres de Fermat, ed. by Paul Tannery and Charles Henry, Vol. I,
Gauthiers-Villars, Paris (1912).
[9] Cantor, Moritz, Geschichte der Mathematik, Vol. II, Teubner,
Leipzig (1913).
[10] Fermat, Pierre de, Abhandlungen iiber Maxima und Minima (1962),
Trans, and annot. by Max Miller (Collection: Ostwald’s Klassiker),
Akademische Verlagsgesellschaft, Leipzig (1934).
[II] Bochner, Salomon, Continuity and Discontinuity in Nature and
Knowledge, Dictionary of the History of Ideas, Scribner, New
York (to appear).
[12] ------, Vorlesungen iiber Fouriersche Intégrale, Akademische Verlags-
gesellschaft, Leipzig (1932).
[13] Pincherle, S., Funktional Operationen und Gleichungen, Encyklo-
pâdie der Mathematischen Wissenschaften, II A 11, Vol. 2.1.2,
Teubner, Leipzig (1904-1916).
[14] Weyl, Hermann, The Concept of a Riemann Surface, transi, by
G. R. MacLane, Addison-Wesley, Reading, Mass. (1964).
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