Introduction to Mathematica® for Physicists

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. 

List of contents

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.

Summary

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. 

Product details

• Authors: Andrey Grozin
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 21.08.2015
• EAN: 9783319032849
• ISBN: 978-3-31-903284-9
• No. of pages: 219
• Dimensions: 154 mm x 230 mm x 12 mm
• Weight: 361 g
• Illustrations: X, 219 p.
• Series: Graduate Texts in Physics
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; B, chemistry, Physics, Applications of Mathematics, Theoretical, Mathematical and Computational Physics, Nuclear physics, Physics and Astronomy, Particle and Nuclear Physics, Nuclear and Particle Physics, Particle & high-energy physics, Mathematical physics, Information technology: general issues, Numerical and Computational Physics, Simulation, Mathematical modelling, Mathematical Applications in the Physical Sciences, Chemoinformatics, Computational Chemistry, Computer Applications in Chemistry