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The Development of Newtonian Calculus in Britain, 1700–1800

Autor Niccolò Guicciardini
en Limba Engleză Paperback – 12 noi 2003
This book examines the development of calculus in Britain during the century following Newton. It is usually maintained that this was a period of decline in British mathematics. However, the author's research has shown that the methods used by researchers of the period yielded considerable success in laying the foundations and investigating the applications of the calculus. Even when 'decline' was at its worst point, in mid-century, the foundations of the reform, which were to change the direction and nature of the mathematics community, were being laid. The book considers the importance of the work of mathematicians such as Isaac Newton, Roger Cotes, Brook Taylor, James Stirling, Abraham de Moivre, Colin Maclaurin, Thomas Bayes, John Landen and Edward Waring. It will be useful to science historians and philosophers studying the period, and to students of British history studying the teaching of mathematics.
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Specificații

ISBN-13: 9780521524841
ISBN-10: 0521524849
Pagini: 244
Dimensiuni: 152 x 229 x 14 mm
Greutate: 0.36 kg
Ediția:Revised
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

Introduction; Overture: Newton's published work on the calculus of fluxions; Part I. The Early Period: 1. The diffusion of the calculus (1700–1730); 2. Developments in the calculus of fluxions (1714–1733); 3. The controversy on the foundations of the calculus (1734–1742); Part II. The Middle Period: 4. The textbooks on fluxions (1736–1758); 5. Some applications of the calculus (1740–1743); 6. The analytic art (1755–1785); Part III. The Reform: 7. Scotland (1785–1809); 8. The Military Schools (1773–1819); 9. Cambridge and Dublin (1790–1820); 10. Tables; Endnotes; Bibliography; Index.

Recenzii

"...provides a much needed reminder that mathematical ideas are transmitted through teaching and cultural influences as well as through research." Nature
"...a very valuable picture of a generally neglected mathematical community and it provides a better background for understanding the reform of the approach to the calculus in Britain in the 1810s." Mathematical Reviews
"...a clear and well-organized treatment of the development of eighteenth-century English mathematics." Joan Richards, Isis
"On the whole the author's case is well argued and the level of scholarship is high....will be of value to anyone interested in the history and philosophy of mathematics in the eighteenth century." Douglas Jesseph, Philosophy of Science

Notă biografică


Descriere

This book examines how calculus developed in Britain during the century following Newton.