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



Source work progress
* : Chapter $1$: Partial Derivatives and Partial Differentiation