This book uses examples from physical sciences to illustrate the value of Mathematica. After reading this book and solving problems in it, the reader will be able to use Mathematica efficiently for solving his/her own problems. The basics of computer algebra and the language of Mathematica are described in this textbook, leading towards an understanding of Mathematica that allows the reader to solve problems in physics, mathematics, and chemistry.
Mathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations and graphics. It is used in physics and other branches of science, in mathematics, education and many other areas. Part I Lectures.- Computer algebra systems.- Overview of Mathematica.- Expressions.-Patterns and substitutions.- Functions.- Mathematica as a programming language.- Gröbner bases.- Calculus.- Risch algorithm.- Linear algebra.- Input--output and strings.- Packages.- Part II Computer classes.- Plots.- Trigonometric functions.- Quantum oscillator.- Spherical harmonics.- Adding angular momenta in quantum mechanics.- Classical nonlinear oscillator.- Cyclohexane.- Multi-zeta functions.- Quantum nonlinear oscillator.- Riemann curvature tensor.- Rainbow.- Problems for students. Andrey Grozin is a leading researcher at the Budker Institute of Nuclear Physics in Novosibirsk, Russia.
