Book:P.J. Hilton/Partial Derivatives

Subject Matter

 * Partial Differentiation

Contents

 * Preface


 * 1. Partial Derivatives and Partial Differentiation
 * Exercises


 * 2. Differentiability and Change of Variables
 * 1. Differentiability
 * 2. Change of Variables in Partial Differentiation
 * 3. Differentials
 * Exercises


 * 3. Implicit Functions
 * 1. Fundamental Theorem
 * 2. Derivatives involving Implicit Functions
 * 3. Jacobians, Inverse Functions, and Functional Dependence
 * Exercises


 * 4. Maxima and Minima
 * 1. Mean Value Theorem and Taylor's Theorem
 * 2. Maxima and Minima
 * 3. Marina and Minima for Functions with Restraints
 * Exercises


 * 5. Appendix
 * Exercise


 * Answers to Exercises


 * Index