Table of contents : Title Page Dedication Preface to the Fourt and Second Edition Preface to the First Edition Contents Introduction Chapter I - The Differential Calculus Chapter II - Coordinate or Analytical Geometry Chapter III - Functions with Singular Properties Chapter IV - The Integral Calculus Chapter V - Infinite Series and Their Uses Chapter VI - How to solve Numerical Equations Chapter VII - How to solve Differential Equations Chapter VIII - Fourier's Theorem Chapter IX - Probability and the Theory of Errors Chapter X - The Calculus of Variations Chapter XI - Determinants Appendix I - Collection of Formulae and Tables for Reference Appendix II - Reference Tables Index