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Titlebook: Exercises and Problems in Mathematical Methods of Physics; Giampaolo Cicogna Textbook 2020Latest edition The Editor(s) (if applicable) and

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Schools, Teachers and Learners,expansions (Taylor-Laurent series), and with a careful analysis of their singularities. The main attention is then addressed to the evaluation of many types of integrals by means of various complex variable methods, both in the presence of isolated singularities and of branch points and cut lines. S
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https://doi.org/10.1007/978-3-663-15992-6s “frequency analysis” is carefully presented, also obtaining the classical “uncertainty principle”. Starting from the spaces . and ., the Fourier transform is extended to the larger space of distributions ., which include the Dirac delta, the Cauchy principal part and other related distributions. A
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Justice and Economy from , to ,,re introduced since the beginning in the case of finite groups, with simple applications of character theory, in the study of vibrational levels of symmetric systems. Other problems concern the notion and properties of Lie groups and Lie algebras, mainly oriented to physical examples: rotation group
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Functions of a Complex Variable,expansions (Taylor-Laurent series), and with a careful analysis of their singularities. The main attention is then addressed to the evaluation of many types of integrals by means of various complex variable methods, both in the presence of isolated singularities and of branch points and cut lines. S
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Fourier and Laplace Transforms. Distributions,s “frequency analysis” is carefully presented, also obtaining the classical “uncertainty principle”. Starting from the spaces . and ., the Fourier transform is extended to the larger space of distributions ., which include the Dirac delta, the Cauchy principal part and other related distributions. A
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Groups, Lie Algebras, Symmetries in Physics,re introduced since the beginning in the case of finite groups, with simple applications of character theory, in the study of vibrational levels of symmetric systems. Other problems concern the notion and properties of Lie groups and Lie algebras, mainly oriented to physical examples: rotation group
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