Multivariate Calculus and Geometry

Table of Contents

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   Book Overview
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   Chapter 1 Introduction to Differentiable Functions
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   Chapter 2 Level Sets and Tangent Spaces
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   Chapter 3 Lagrange Multipliers
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   Chapter 4 Maxima and Minima on Open Sets
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   Chapter 5 Curves in $${\mathbb {R}}^n$$
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   Chapter 6 Line Integrals
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   Chapter 7 The Frenet–Serret Equations
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   Chapter 8 Geometry of Curves in $${\mathbb R}^3$$
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    Chapter 9 Double Integration
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    Chapter 10 Parametrized Surfaces in $${\mathbb R}^3$$
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    Chapter 11 Surface Area
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    Chapter 12 Surface Integrals
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    Chapter 13 Stokes’ Theorem
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    Chapter 14 Triple Integrals
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    Chapter 15 The Divergence Theorem
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    Chapter 16 Geometry of Surfaces in $${\mathbb {R}}^3$$
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    Chapter 17 Gaussian Curvature
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    Chapter 18 Geodesic Curvature