This book discusses as well the four styles of programming, namely, functional programming, imperative programming, rewrite programing, and object oriented programming. Other parts consider the built-in graphics and show how to make pictures without programming. This text then looks in more detail at numerical calculations and solving equations, both algebraic and differential equations. Organized into four parts, this book begins with an overview of the use of a pocket calculator. This book provides insight into more complex situations that can be investigated by hand. Mastering Mathematica®: Programming Methods and Applications presents the mathematical results and turn them into precise algorithmic procedures that can be executed by a computer.
The second part-attractive applications.Download Mastering Mathematica Book in PDF, Epub and Kindle The first part - examples, not long explanations. 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. Its aim is to provide the reader with Mathematica proficiency quickly and efficiently.
The first section, in which the reader learns how to use a variety of Mathematica commands, avoids long discussions and overly sophisticated techniques. It is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs. 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.
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