q [These lectures] are about themes of the history of mathematics which for various reasons are dear to me. The early differential and integral calculus, Christiaan Huygens, and the concept of construction in seventeenth- and eighteenth-century mathematics are the three themes around which much of my research has concentrated and which continue to fascinate me by the insights they offer in the development of that special human activity called mathematics.q ---from the Introduction. This volume contains 11 lectures ranging over a variety of topics in the history of mathematics. The lectures, presented between 1970 and 1987, were delivered in a variety of venues and appeared only in less accessible publications. Those who teach mathematics, as well as mathematics historians, will appreciate this insightful, wide ranging book. The History of Mathematics series is cojointly published with the London Mathematical Society19. The articles on differential and integral calculus list a considerable number of applications, but Bossuta#39;s list is more ... as follows: Fundamental concepts of the calculus; Leibniz on tangents and extreme values; Newton on motion in conic sections, ... cusps, radii of curvature, evolutes, caustics by reflection and refraction; brachystochrone; isoperimeters; brachystochrones ... Celestial physics : universal gravitation; perturbation of planetary motion; tides; tidal effects on the atmosphere;anbsp;...

Title | : | Lectures in the History of Mathematics |

Author | : | H. J. M. Bos |

Publisher | : | American Mathematical Soc. - 1993 |

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