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Vector Calculus Sixth Edition by Jerrold E. Marsden and Anthony Tromba is a book available to read on EtoBox.
What is Vector Calculus Sixth Edition about?
Cover Page 1 Title Page 2 Copyright Page 3 Contents 4 Preface 10 Acknowledgements 12 Historical Introduction: A Brief Acco 14 Prerequisites and Notation 24 1 The Geometry of Euclidean Space 28 1.1 Vectors in Two- and Three-Dimensional Space 28 1.2 The Inner Product, Length, and Distance 46 1.3 Matrices, Determinants, and the Cross Product 58 1.4 Cylindrical and Spherical Coordinates 79 1.5 n-Dimensional Euclidean Space 87 Review Exercises for Chapter 1 97 2 Differentiation 102 2.1 The Geometry of Real-Valued Functions 103 2.2 Limits and Continuity 115 2.3 Differentiation 132 2.4 Introduction to Paths and Curves 143 2.5 Properties of the Derivative 151 2.6 Gradients and Directional Derivatives 162 Review Exercises for Chapter 2 171 3 Higher-Order Derivatives: Maxima and Minima 176 3.1 Iterated Partial Derivatives 177 3.2 Taylor’s Theorem 185 3.3 Extrema of Real-Valued Functions 193 3.4 Constrained Extrema and Lagrange Multipliers 212 3.5 The Implicit Function Theorem [Optional] 230 Review Exercises for Chapter 3 238 4 Vector-Valued Functions 244 4.1 Acceleration and Newton’s Second Law 244 4.2 Arc Length 255 4.3 Vector Fields 263 4.4 Divergence and Curl 272 Review Exercises for Chap
- Author
- Jerrold E. Marsden and Anthony Tromba
- Language
- EN
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