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Automatic Differentiation: Techniques and Applications

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Cover of 'Automatic Differentiation: Techniques and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Formula translation
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    Chapter 3 Formula differentiation
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    Chapter 4 Generation of Taylor coefficients
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    Chapter 5 Examples of software for automatic differentiation and generation of Taylor coefficients
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    Chapter 6 Automatic computation of gradients, Jacobians, Hessians, and applications to optimization
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    Chapter 7 Automatic error analysis
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    Chapter 8 Solution of nonlinear systems of equations
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    Chapter 9 Numerical integration with regorous error estimation
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    Chapter 10 Additional notes of techniques, applications, and software
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