CONTENTS XV 15.Coordinate Geometry,302 1.The Motivation for Coordinate Geometry.302 2.The Coordinate Geometry of at,303 3 Rene Descartes.304 4.Desc tes's Work in C mporianeGrohc 308 5.Sevente rdinat cometry,321 16.The Mathematization of Science,325 1 Introduction.325 2 Descartes's Concept of Science,325 3.Galileo's Approach to Science,327 4.The Function Concept,335 17.The Creation of the Calculus,342 1.The Motivation for the Calculus,342 2.Early Seventeenth-Century Work on the Calculus,344 3 The Work of Newton,356 4 The Work of Leibniz,370 5 A Comparison of the Work of Newton and Leibniz,378 6.The Controversy over Priority,380 7 Some Immediate Additions to the Calculus,381 8.The Soundness of the Calculus,383 List of Abbreviations Index