Lectures in the History of Mathematics

Voorkant
American Mathematical Soc., 1997 - 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
 

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Inhoudsopgave

Chapter 2 The concept of construction and the representation of curves in seventeenthcentury mathematics
Chapter 3 The structures of Descartes geometrie
Chapter 4 Christiaan Huygens
Chapter 5 The fundamental concepts of the Leibnizian calculus
Chapter 6 The lemniscate of Bernoulli
Chapter 7 Calculus in the eighteenth century the role of applications
Chapter 8 The closure theorem of Poncelet
Chapter 9 Elements of mathematics they are no longer what they used to be
Chapter 10 Queen and servant the role of mathematics in the development of the sciences
a dialogue in the staff room with historical episodes
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