Nino Boccara

Essentials of Mathematica (eBook, PDF)

With Applications to Mathematics and Physics

• Format: PDF

Produktbeschreibung

This book teaches how to use Mathematica to solve a wide variety of problems in mathematics and physics. It is based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and graduate students. Although there are several books on this topic in publication, this book does not assume a previous exposure of the reader to the mathematica software. The book is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs. The first part, in which the reader learns how to use a variety of Mathematica commands, contains examples, not long explanations; the second part contains attractive applications.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 539
• Erscheinungstermin: 17. Oktober 2007
• Englisch
• ISBN-13: 9780387495149
• Artikelnr.: 43728114

Autorenporträt

Nino Boccara, University of Illinois, Chicago, IL, USA

Inhaltsangabe

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.

Rezensionen

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)