Lectures on Selected Topics in Mathematical Physics - Introduction to Lie theory with applications

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  • LanguageEnglish
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  • Last checkedFeb. 04th '22
  • Date uploadedFeb. 02nd '22
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Lectures on Selected Topics in Mathematical Physics: Introduction to Lie theory with applications



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English | ISBN: 1681744481 | 2017 | 86 pages | MOBI | 5 MB

This book provides an introduction to Lie Theory for first year graduate students and professional physicists who may not have across the theory in their studies. In particular, it is a summary overview of the theory of finite groups, a brief description of a manifold, and then an informal development of the theory of one-parameter Lie groups, especially as they apply to ordinary differential equations. The treatment is informal, but systematic and reasonably self-contained, as it assumes a familiarity with basic physics and applied calculus, but it does not assume additional mathematical training. Interested readers should have a fair chance of finding symmetries of a second order differential equation and should be able to use it to reduce the order of the differential equation.
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