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The origins of Cauchy's rigorous calculus
This book explores the background of a major intellectual revolution: the rigorous reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his contemporaries in the first part of theExpand
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Effects of the Scopes Trial
Readers may choose their own villain in the story we have told. Like us, some will find the greatest culpability in the scientific community itself, for the large-scale failure to pay attention toExpand
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Was Newton’s Calculus a Dead End? The Continental Influence of Maclaurin’s Treatise of Fluxions
(1997). Was Newton's Calculus a Dead End? The Continental Influence of Maclaurin's Treatise of Fluxions. The American Mathematical Monthly: Vol. 104, No. 5, pp. 393-410.
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Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus
Perhaps this exchange will remind us that the rigorous basis for the calculus is not at all intuitive—in fact, quite the contrary. The calculus is a subject dealing with speeds and distances, withExpand
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The Changing Concept of Change: The Derivative from Fermat to Weierstrass
First the derivative was used, then discovered, explored and developed, and only then, defined.
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A Historian Looks Back: The Calculus as Algebra and Selected Writings
Introduction Part I. The Calculus as Algebra: Introduction 1. The development of Lagrange's ideas on the calculus: 1754-1797 2. The algebraic background of the theory of analytic functions 3. TheExpand
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A Mathematician among the Molasses Barrels: Maclaurin's Unpublished Memoir on Volumes
Suppose we are given a solid of revolution generated by a conic section. Slice out a frustum of the solid [ 14 , diagrams pp. 77, 80]. Then, construct a cylinder, with the same height as the frustum,Expand
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The Centrality of Mathematics in the History of Western Thought.
context of mathematics from the hardware store with the rest of the tools and bring it back to the university. To do this, I will discuss some major developments in the history of ideas in whichExpand
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Great moments in mathematics (after 1650)
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Why Proof? A Historian’s Perspective
The history of mathematics provides evidence that proofs let mathematicians distinguish between true results and merely plausible ones; that the careful formulation of arguments allows them to seeExpand
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