Introduction to Mathematica® for physicists / Andrey Grozin.Series: Publisher: Cham: Springer, 2014Description: x, 219p. illustrations (some color)ISBN: 9783319008936Subject(s): Mathematical physics- Computer programs | Mathematica(Computer file)DDC classification: 510.285 536 Online resources: Click here to access online
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|510 Q7 Math for scientists :||510.246 5 P9 Business mathematics/||510.285 53 Q5 R and MATLAB/||510.285 536 Q4 Introduction to Mathematica® for physicists /||510.285 P6 Discrete mathematics using a computer /||510.7 Q3 Visual mathematics and cyberlearning/||510.7 Q4 How to solve it:|
Includes bibliographical references (pages 213-214) and index.
Part I Lectures -- Computer algebra systems -- Overview of Mathematica -- Expressions.-Patterns and substitutions -- Functions -- Mathematica as a programming language -- Grb ner 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- functions -- Quantum nonlinear oscillator -- Riemann curvature tensor -- Rainbow -- Problems for students.
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. Many important results in physics would never be obtained without a wide use of computer algebra. This book describes ideas of computer algebra and the language of the Mathematica system. It also contains a number of examples, mainly from physics, also from mathematics and chemistry. After reading this book and solving problems in it, the reader will be able to use Mathematica efficiently for solving his/her own problems --