This volume contains the Proceedings of the International Colloqui- um "Newton's Scientific and Philosophical Legacy", that was held at the Catholic University of Nijmegen (The Netherlands) from June 9th to 12th 1987 to celebrate the Tercentenary of the publication of Newton's Philo- sophiae Naturalis Principia Mathematica (1667). Although 1987 was a busy year for Newton scholars, we were happy that five of most prom- inent among them were able to come to Nijmegen and speak on the vari- ous aspects of Newton's thought. They are the Professors I. Bernard Cohen (Harvard), Gale Christianson (Indiana State), B. J. Dobbs (Northwestern), Richard H. Popkin (UCLA) and Mordechai Feingold (Boston University). No doubt, recent scholarship has put Newton's genius in a quite different perspective from the one that had come to make up what may be called Newtonian mythology. Although his achievements in the areas of mechanics, mathematics, and optics remain indisputed, Newton's scientific efforts were apparently entirely subordi- nate to his religious beliefs. This volume has been divided into four parts, preceded by a Pream- ble in which Prof. Christianson offers a vivid portrait of Newton as a per- son. The first part deals with the science of Newton as he himself under- stood that term. The second part considers the influence of Newton's work on later scientific developments. The third part deals primarily with the question of the methodological influence of Newton, and the last part with his more philosophical legacy. Two editorial remarks are due.

This volume contains the Proceedings of the International Colloqui- um "Newton's Scientific and Philosophical Legacy", that was held at the Catholic University of Nijmegen (The Netherlands) from June 9th to 12th 1987 to celebrate the Tercentenary of the publication of Newton's Philo- sophiae Naturalis Principia Mathematica (1667). Although 1987 was a busy year for Newton scholars, we were happy that five of most prom- inent among them were able to come to Nijmegen and speak on the vari- ous aspects of Newton's thought. They are the Professors I. Bernard Cohen (Harvard), Gale Christianson (Indiana State), B. J. Dobbs (Northwestern), Richard H. Popkin (UCLA) and Mordechai Feingold (Boston University). No doubt, recent scholarship has put Newton's genius in a quite different perspective from the one that had come to make up what may be called Newtonian mythology. Although his achievements in the areas of mechanics, mathematics, and optics remain indisputed, Newton's scientific efforts were apparently entirely subordi- nate to his religious beliefs. This volume has been divided into four parts, preceded by a Pream- ble in which Prof. Christianson offers a vivid portrait of Newton as a per- son. The first part deals with the science of Newton as he himself under- stood that term. The second part considers the influence of Newton's work on later scientific developments. The third part deals primarily with the question of the methodological influence of Newton, and the last part with his more philosophical legacy. Two editorial remarks are due.

The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.