ProofWiki:Books/P.J. Hilton/Partial Derivatives

P.J. Hilton: Partial Derivatives

Published 1960, Routledge & Kegan Paul Ltd..

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