Niccolo GuicciardiniReading the Principia the Debate on Newton's Mathematical Methods for Natural Philosophy from 1687 to 1736
Niccolò Guicciardini holds degrees in physics and philosophy awarded by the Università degli Studi di Milano. His Ph.D. thesis in the history of mathematics was written under the supervision of Ivor Grattan-Guinness at Middlesex Polytechnic and was published by Cambridge University Press in 1989 as The Development of Newtonian Calculus in Britain, 1700-1800. He is Co-Editor in Chief of Historia Mathematica and is a recipient of the Sarton Medal for 2011-2012, awarded by the University of Ghent, Belgium.
1. Purpose of this book
Part I. Newton's Methods: 2. Newton's methods of series and fluxions
3. The mathematical methods of the Principia
Part II. Three Readers: 4. Newton: between tradition and innovation
5. Huygens: the Principia and proportion theory
6. Leibniz: not equivalent in practice
Part III. Two Schools: 7. Britain: in the wake of the Principia
8. Basel: challenging the Principia
9. Conclusion: Newtonians, Leibnizians and Eulerians
References.