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Many modern physics problems can be reduced to carrying out calculations, both numerical and symbolical ones. Over the last 16 years, Mathematica has acquired a large body of algorithmic, numeric, symbolic, and special function "knowledge". With a proper approach, Mathematica can be used very successfully to solve a large variety of research-level physics problems, including larger numerical ones that only a few years ago were only solvable on large supercomputers. A selection of examples, how to approach them within Mathematica, and how a Mathematica approach is different from a classical "paper and pencil" or procedural programming approach are outlined and discussed. ==================================================================== Eine Reihen von Beispielen zur Benutzung von Mathematica zur Loesung physikalischer Probleme wird gegeben. Anwendungen der Programmiersprache, der Grafikfaehigkeiten, der Numerikfunktionen, und der und Symbolikfunktionen zur effektiven Behandlung kleinerer und groesserer physikalischer Rechnungen werden gezeigt.
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