Lectures in the History of Mathematics ( History of Mathematics )

Publication series :History of Mathematics

Author: Henk J. M. Bos  

Publisher: American Mathematical Society‎

Publication year: 2017

E-ISBN: 9781470438753

P-ISBN(Paperback): 9780821809204

Subject: O11 classical mathematics

Keyword: 暂无分类

Language: ENG

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Lectures in the History of Mathematics

Description

“[These lectures] are about themes of the history of mathematics which, for various reasons, are dear to me. The early differential and integral calculus, the work of 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 eleven 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.

Chapter

Title page

Contents

Introduction

Chapter 1. Recognition and wonder - Huygens, tractional motion, and some thoughts on the history of mathematics

Chapter 2. The concept of construction and the representation of curves in seventeenth-century 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

Chapter 11. Mathematics and its social context: a dialogue in the staff room, with historical episodes

Back Cover

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