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Newtonian Dynamics Richard Fitzpatrick Professor of Physics The University of Texas at Austin Contents 1 Introduction 1.1 Prerequisites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Scope of Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Major Sources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 7 7 8 2 Vector Algebra and Vector Calculus 2.1 Introduction . . . . . . . . . . . . 2.2 Scalars and Vectors . . . . . . . . 2.3 Vector Algebra . . . . . . . . . . . 2.4 Cartesian Components of a Vector 2.5 Coordinate Transformations . . . 2.6 Scalar Product . . . . . . . . . . . 2.7 Vector Product . . . . . . . . . . . 2.8 Rotation . . . . . . . . . . . . . . 2.9 Scalar Triple Product . . . . . . . 2.10 Vector Triple Product . . . . . . . 2.11 Vector Calculus . . . . . . . . . . 2.12 Line Integrals . . . . . . . . . . . 2.13 Vector Line Integrals . . . . . . . 2.14 Volume Integrals . . . . . . . . . 2.15 Gradient . . . . . . . . . . . . . . 2.16 Grad Operator . . . . . . . . . . . 2.17 Polar Coordinates . . . . . . . . . 2.18 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
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