This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It is 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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很有啓發的書，學到很多.整個這套書都給人親切和專業化的感覺，而且真能閱讀進去則有著一種深刻的洞察性
评分@2008-08-03 17:30:07
评分@2008-08-03 17:30:07
评分很有啓發的書，學到很多.整個這套書都給人親切和專業化的感覺，而且真能閱讀進去則有著一種深刻的洞察性
评分@2008-08-03 17:30:07
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