Calculus (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Calculus" in English language version.

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  • Boyer, Carl B. (1959). The History of the Calculus and its Conceptual Development. New York: Dover. pp. 47, 187–188. OCLC 643872.
  • Cooke, Roger (1997). "The Mathematics of the Hindus". The History of Mathematics: A Brief Course. Wiley-Interscience. pp. 213–215. ISBN 0-471-18082-3.
  • Russell, Bertrand (1946). History of Western Philosophy. London: George Allen & Unwin Ltd. p. 857. The great mathematicians of the seventeenth century were optimistic and anxious for quick results; consequently they left the foundations of analytical geometry and the infinitesimal calculus insecure. Leibniz believed in actual infinitesimals, but although this belief suited his metaphysics it had no sound basis in mathematics. Weierstrass, soon after the middle of the nineteenth century, showed how to establish calculus without infinitesimals, and thus, at last, made it logically secure. Next came Georg Cantor, who developed the theory of continuity and infinite number. "Continuity" had been, until he defined it, a vague word, convenient for philosophers like Hegel, who wished to introduce metaphysical muddles into mathematics. Cantor gave a precise significance to the word and showed that continuity, as he defined it, was the concept needed by mathematicians and physicists. By this means a great deal of mysticism, such as that of Bergson, was rendered antiquated.
  • Grabiner, Judith V. (1981). The Origins of Cauchy's Rigorous Calculus. Cambridge: MIT Press. ISBN 978-0-387-90527-3.

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