This third edition of Mathematica in Action guides beginner and veteran users alike through Mathematica's powerful tools for mathematical exploration. Based on Mathematica 7, the book contains numerous examples and case studies that utilize Mathematica's newest tools, such as dynamic manipulations and adaptive three-dimensional plotting. Whenever possible, the book shows how Mathematica can be used to discover new things. Visualization is emphasized throughout, with finely crafted graphics in each chapter.
Written by award-winning author Stan Wagon, Mathematica in Action also emphasizes the breadth of Mathematica and the impressive results of combining techniques from different areas. This material enables the reader to use Mathematica to solve a variety of complex problems of mathematics. All Mathematica code is included on a CD with the book. Contents
A Brief Introduction | Plotting | Prime Numbers | Rolling Circles | Three-Dimensional Graphs | Dynamic Manipulations | The Cantor Set, Real and Complex | The Quadratic Map | The Recursive Turtle | Parametric Plotting of Surfaces | Penrose Tiles | Complex Dynamics : Julia Sets and the Mandelbrot Set (by Mark McClure) | Solving Equations | Optimization | Differential Equations | Computational Geometry | Check Digits and the Pentagon | Coloring Planar Maps | New Directions for Pi | The Banach-Tarski Paradox | The Riemann Zeta Function | Miscellany Related Topics
Applied Mathematics, Calculus and Analysis, Geometry, Graphics, Recreational, Tutorial and Reference