Titlebook: Introduction to Mathematica? for Physicists; Andrey Grozin Textbook 2014 Springer Nature Switzerland AG 2014 CAS.Computer Algebra Systems

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Textbook 2014lows 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.?.

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Overview of ,Let’s assign an expression containing a symbol . to a variable .. No value is assigned to .. .. Now let’s assign some value to . and see what happens to .. .. The value of . has not really changed. It is still the same expression containing .. What if we assign another value to .?

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Patterns and SubstitutionsSubstitution is the most fundamental operation in .. Its left-hand side is a pattern. In a given expression, all subexpressions matching the pattern are found and replaced by the right-hand side of the substitution.

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Gr?bner BasesIn this lecture we shall consider (in a slightly vulgarized form, without rigorous mathematical terms) an important mathematical achievement of the second half of the last century—Gr?bner bases, the Buchberger algorithm (which constructs them), and their applications (see [12, 13] for an introduction).

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GULLY

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Input–Output and StringsWhen developing any nontrivial . program, it is better to write it in a text file, using a text editor, and then to read it into a fresh . session. In this way, your actions will be reproducible. You can fix a bug and see what has changed. Suppose we have a text file called wrong.m. It contains the text

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