# Book:P.J. Hilton/Partial Derivatives

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## P.J. Hilton:

## P.J. Hilton: *Partial Derivatives*

Published $1960$, **Routledge & Kegan Paul Ltd.**.

### Subject Matter

### 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