Lie's Structural Approach to PDE Systems: 80 (Encyclopedia of Mathematics and its Applications, Series Number 80) - Softcover

Buch 69 von 188: Encyclopedia of Mathematics and its Applications

Stormark, Olle

 
9781107403321: Lie's Structural Approach to PDE Systems: 80 (Encyclopedia of Mathematics and its Applications, Series Number 80)

Inhaltsangabe

This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea 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.

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Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

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9780521780889: Lie’s Structural Approach to Pde Systems: 80 (Encyclopedia of Mathematics and its Applications, Series Number 80)

Vorgestellte Ausgabe

ISBN 10:  0521780888 ISBN 13:  9780521780889
Verlag: Cambridge University Press, 2000
Hardcover