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Description
Advanced Calculus Using Mathematica: Notebook Edition is a complete text on calculus of several variables written in Mathematica Notebooks. The eText has large movable figures and interactive programs to illustrate things like "zooming in" to see "local linearity." In addition to lots of traditional style exercises, the eText also has sections on computing with Mathematica. Solutions to many exercises are in closed cells of the eText. Contents Chapter 0: An Introduction to Mathematica & Calculus Chapter 1: Basic Equations and Graphs Chapter 2: Vector Geometry Chapter 3: Derivatives and Graphs of Explicit Functions Chapter 4: Implicit Curves, Surfaces, and Contour Plots Chapter 5: Inverse and Implicit Functions Chapter 6: Taylor's Formula in Several Variables Chapter 7: Max-min in Several Variables Chapter 8: Multiple Integrals in Cartesian Coordinates Chapter 9: Parametric Curves Chapter 10: Motion along Curves: Gas, Brakes, & Tires Chapter 11: Vector Fields and Velocity Flows in 2D Chapter 12: Green's Theorem, 2-D Divergence and Swirl Chapter 13: Coordinate Systems in 2 Dimensions Chapter 14: Path Integrals & Vector Fields in 3D Chapter 15: Parametric Surfaces Chapter 16: Curvature of Surfaces Chapter 17: Coordinate Systems in 3 Dimensions Chapter 18: Differential Forms Chapter 19: Flow in 3D, Divergence & Curl Chapter 20: Partial Differential Equations Chapter 21: Infinite Series Additional Resources Author website Related Topics Calculus and Analysis, Courseware |
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