Book:P.J. Hilton/Partial Derivatives

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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