Book:P.J. Hilton/Partial Derivatives

P.J. Hilton: Partial Derivatives

Published $\text {1960}$, 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

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