Synopsis
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-ζ functions.- Quantum nonlinear oscillator.- Riemann curvature tensor.- Rainbow.- Problems for students.
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