Lectures on Selected Topics in Mathematical Physics

Introduction to Lie theory with applications

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics, Calculus, General Physics
Cover of the book Lectures on Selected Topics in Mathematical Physics by William A. Schwalm, Morgan & Claypool Publishers
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Author: William A. Schwalm ISBN: 9781681744506
Publisher: Morgan & Claypool Publishers Publication: May 2, 2017
Imprint: IOP Concise Physics Language: English
Author: William A. Schwalm
ISBN: 9781681744506
Publisher: Morgan & Claypool Publishers
Publication: May 2, 2017
Imprint: IOP Concise Physics
Language: English

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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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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