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
Source work progress
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