Lectures in the History of MathematicsAmerican Mathematical Soc., 1993 - 197 pagina's " [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." ---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 Society |
Inhoudsopgave
| 1 | |
The Concept of Construction and the Representation of Curves in SeventeenthCentury Mathematics | 23 |
The Structure of Descartess Géométrie | 37 |
Christiaan Huygens | 59 |
The Fundamental Concepts of the Leibnizian Calculus | 83 |
The Lemniscate of Bernoulli | 101 |
Calculus in the Eighteenth Century The Role of Applications | 113 |
The Closure Theorem of Poncelet | 129 |
Elements of Mathematics They Are No Longer What They Used to Be | 141 |
Queen and Servant The Role of Mathematics in the Development of the Sciences | 165 |
Mathematics and Its Social Context A Dialogue in the Staff Room with Historical Episodes | 181 |
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acceptable Acta Eruditorum algebraic curve analysis angle applications argument astronomy ballistics Bourbaki catenary Christiaan Huygens circle Clavius closure theorem conic sections considered construction Descartes Descartes's differential equations discuss eighteenth century Elastica ematics Encyclopédie méthodique episode Euclid Euclid's Elements Euler example explained Figure formula function Géométrie history of mathematics Huygens's hydrodynamics hyperbola ideas infinitangular polygon infinitely influence instance intersection isochrone Jakob Bernoulli Johann Johann Bernoulli La Géométrie lecture Leibniz Leibnizian calculus lemniscate Lexikon math mathematicians Mathématiques means method modern nature Newton Oeuvres parabola paracentric isochrone Paris particular pendulum clock period plane Plate Proclus projectiles proof published quadrature question rational mechanics rectification representation of curves role of mathematics roots ruler and compass scientific sequence seventeenth century social solution solved structure style tangent problems theory tion tractional motion tractrix transcendental curves University Library Leiden variables velocity Wolff