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Lie Group Mathematics

Autor Edited by Paul F. Kisak
en Limba Engleză Paperback
Mathematical Lie groups are smooth differentiable manifolds and as such can be studied using differential calculus, in contrast with the case of more general topological groups. Lie groups represent the best-developed theory of continuous symmetry of mathematical objects and structures, which makes them indispensable tools for many parts of contemporary mathematics, as well as for modern theoretical physics. Lie groups provide a natural framework for analyzing the continuous symmetries of differential equations in much the same way as permutation groups are used in Galois theory for analyzing the discrete symmetries of algebraic equations. An extension of Galois theory to the case of continuous symmetry groups was one of Lie's principal motivations. This book gives an overview of the current state of Lie Group Mathematics.
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Specificații

ISBN-13: 9781518613715
ISBN-10: 1518613713
Pagini: 250
Dimensiuni: 216 x 280 x 13 mm
Greutate: 0.59 kg
Editura: CreateSpace Independent Publishing Platform