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Development of Newtonian Calculus in Britain, 1700-1800 by Niccolò Guicciardini (2003, Trade Paperback)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521524849
ISBN-139780521524841
eBay Product ID (ePID)2301369
Product Key Features
Number of Pages244 Pages
Publication NameDevelopment of Newtonian Calculus in Britain, 1700-1800
LanguageEnglish
SubjectHistory & Philosophy, History
Publication Year2003
TypeTextbook
Subject AreaMathematics, Science
AuthorNiccolò Guicciardini
FormatTrade Paperback
Dimensions
Item Height0.6 in
Item Weight12.7 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Intended AudienceScholarly & Professional
Reviews"...provides a much needed reminder that mathematical ideas are transmitted through teaching and cultural influences as well as through research." Nature, "...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, "...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
TitleLeadingThe
IllustratedYes
Table Of ContentIntroduction; 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.
SynopsisThis 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., This book examines the development of calculus in Britain during the century following Newton. It shows that the methods used by researchers of the period yielded considerable success in laying the foundations and investigating the applications of the calculus., Guicciardini presents a comprehensive survey of both the research and teaching of Newtonian calculus, the calculus of "fluxions", over the period between 1700 and 1810. Although Newton was one of the inventors of calculus, the developments in Britain remained separate from the rest of Europe for over a century. While it is usually maintained that after Newton there was a period of decline in British mathematics, the author's research demonstrates 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" set in, in mid century, the foundations of the reform were being laid, which were to change the direction and nature of the mathematics community. The book considers the importance of Isaac Newton, Roger Cotes, Brook Taylor, James Stirling, Abraham de Moivre, Colin Maclaurin, Thomas Bayes, John Landen and Edward Waring. This will be a useful book for students and researchers in the history of science, philosophers of science and undergraduates studying the history of mathematics., Guicciardini presents a comprehensive survey of both the research and teaching of Newtonian calculus, the calculus of "fluxions," over the period between 1700 and 1810. Although Newton was one of the inventors of calculus, the developments in Britain remained separate from the rest of Europe for over a century. While it is usually maintained that after Newton there was a period of decline in British mathematics, the author's research demonstrates 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" set in, in mid century, the foundations of the reform were being laid, which were to change the direction and nature of the mathematics community. The book considers the importance of Isaac Newton, Roger Cotes, Brook Taylor, James Stirling, Abraham de Moivre, Colin Maclaurin, Thomas Bayes, John Landen and Edward Waring. This will be a useful book for students and researchers in the history of science, philosophers of science and undergraduates studying the history of mathematics.
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