# Essentials of Mathematica: With Applications to Mathematics and Physics

Springer Science & Business Media, Oct 17, 2007 - Science - 539 pages

Essential Mathematica: With Applications to Mathematics and Physics, based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and graduate students, teaches how to use Mathematica to solve a wide variety problems in mathematics and physics. It is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs.

The first section, in which the reader learns how to use a variety of Mathematica commands, avoids long discussions and overly sophisticated techniques. Its aim is to provide the reader with Mathematica proficiency quickly and efficiently.

The second section covers a broad range of applications in physics, engineering and applied mathematics, including Egyptian Fractions, Happy Numbers, Mersenne Numbers, Multibases, Quantum Harmonic Oscillator, Quantum Square Potential, Van der Pol Oscillator, Electrostatics, Motion of a Charged Particle in an Electromagnetic Field, Duffing Oscillator, Negative and Complex Bases, Tautochrone Curves, Kepler’s Laws, Foucault’s Pendulum, Iterated Function Systems, Public-Key Encryption, and Julia and Mandelbrot Sets.

The first part - examples, not long explanations. The second part-attractive applications.

### What people are saying -Write a review

We haven't found any reviews in the usual places.

### Contents

 IV 5 V 55 VI 76 VII 103 VIII 151 IX 173 X 219 XI 234
 XXIV 368 XXV 385 XXVI 399 XXVII 406 XXVIII 417 XXIX 439 XXX 444 XXXI 449

 XII 269 XIII 273 XIV 278 XV 285 XVI 288 XVII 301 XVIII 303 XIX 310 XX 321 XXI 327 XXII 341 XXIII 347
 XXXII 461 XXXIII 469 XXXIV 475 XXXV 481 XXXVI 489 XXXVII 497 XXXVIII 505 XXXIX 509 XL 518 XLI 529 XLII 533 Copyright

### Popular passages

Page 11 - Plot[f, {x, xmin, xmax} ] generates a plot of f as a function of x from xmin to xmax. Plot[{fl...
Page 12 - AxesStyle -> Automatic, Background -> Automatic, ColorOutput -> Automatic, Compiled -> True, DefaultColor -> Automatic, Epilog -> {}, Frame -> False, FrameLabel -> None, FrameStyle -> Automatic, FrameTicks -> Automatic, GridLines -> None, ImageSize -> Automatic, MaxBend -> 10., PlotDivision -> 30., PlotLabel -> None, PlotPoints -> 25, PlotRange -> Automatic, PlotRegion -> Automatic, PlotStyle -> Automatic, Prolog...