Essentials of Mathematica

Essential Commands.- A Panorama of Mathematica.- Numbers.- Algebra.- Analysis.- Lists.- Graphics.- Statistics.- Basic Programming.- Applications.- Axially Symmetric Electrostatic Potential.- Motion of a Bead on a Rotating Circle.- The Brachistochrone.- Negative and Complex Bases.- Convolution and Laplace Transform.- Double Pendulum.- Duffing Oscillator.- Egyptian Fractions.- Electrostatics.- Foucault Pendulum.- Fractals.- Iterated Function Systems.- Julia and Mandelbrot Sets.- Kepler’s Laws.- Lindenmayer Systems.- Logistic Map.- Lorenz Equations.- The Morse Potential.- Prime Numbers.- Public-Key Encryption.- Quadratrix of Hippias.- Quantum Harmonic Oscillator.- Quantum Square Potential.- Skydiving.- Tautochrone.- van der Pol Oscillator.- van der Waals Equation.- Bidirectional Pedestrian Traffic.

From the reviews:"Mathematica is a software package that makes mathematics easier for scientists and engineers. … The range of examples is amazing … . The book is well written … . Summing Up: Highly recommended. Upper-division undergraduates through professionals." (P. Cull, CHOICE, Vol. v4 (3), November, 2007)"The book ensures a thorough training in Mathematica, which is one of the most popular software packages … . The structure of the volume was designed to cover the objectives of different groups of readers, with various levels of knowledge, from beginners needing assistance for the basic exploitation of the package, to experienced users focusing on specific types of problems. … reflects a considerable teaching experience which also recommends it as a valuable companion for educators interested in preparing or upgrading lecture notes and seminars." (Octavian Pastravanu, Zentralblatt MATH, Vol. 1134 (12), 2008)