Mathematica can be used to illuminate one of the most famous false proofs in history: Kempe's 1879 “proof” of the four-color theorem. Moreover, combining Kempe's ideas ...

Polar symmetry plots are a useful way to visualize time series or digitized wave forms. These plots are easily produced with Mathematica. The examples presented here ...

This paper presents a Mathematica implementation of a recent algorithm for efficient high precision automatic quadrature. Extensive numerical testing has been performed on a ...

The ImplicitSolids solid modeling package provides methods for computer-aided design of three-dimensional solid objects in terms of implicit functions. Composite solids are ...

Originally included as part of Stephen Wolfram's book Mathematica: A System for Doing Mathematics by Computer, Second Edition, this reference guide has been reformatted and ...

Describes the 1000+ additional functions that are included in the standard add-on packages distributed with all full versions of Mathematica 3.0. Gives users at all levels ...

For linear dynamic circuits, the condition of the index to be higher than one is calculated symbolically. Using Analog Insydes a function for the computer algebra system ...

The course concentrates on the equation-solving facilities of Mathematica including solving algebraic equations with Solve as well as solving differential equations with ...

This article reviews the major new features and enhancements in Mathematica 4.2. These include improved connectivity to Java™, XML, and the web; new packages for ...

This is example 2.4 (page 1050) of Calculus: Early Transcendental Functions, Third Edition, by Robert T.Smith and Roland B. Minton: the solid bounded by z=2, z=x^2+1, y=0, ...