Book:P.J. Hilton/Partial Derivatives

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P.J. Hilton: Partial Derivatives

Published $\text {1960}$, 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


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