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Lie's Structural Approach to Pde Systems

Product Image: Lie's Structural Approach to Pde Systems

Lie's Structural Approach to Pde Systems

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Description
Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.
Product details
Edition:
illustrated
Number of Pages:
590
Release Date:
2011-02-10
Publication Date:
2014-03-07
Publisher:
Cambridge University Press
Languages:
Original: English
ISBN10:
05217808880521758416
ISBN13:
9780521780889
GPSR Manufacturer Reference:
Weight:
1150 g
Height:
161 cm
Width:
240 cm
Thickness:
39 cm
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