Exterior Differential Systems
Springer (Publisher)
Published on 31. December 1990
Book
Hardback
VII, 475 pages
978-3-540-97411-6 (ISBN)
Description
This study gives a treatment of exterior differential systems including both the general theory and various applications. Topics include a review of exterior algebra, simple exterior differential systems, the generation of integral manifolds through the solution of a succession of initial value problems, involution, linear differential systems, tableau and torsion, the characteristic variety of a differential system, prolongation, the algebra of a linear Pfaffian system, and an introduction to Spencer Theory. Much emphasis is placed on the general theory while many examples are given. This research monograph on differential geometry is intended for graduate students in mathematics and professional mathematians.
More details
Series
Language
English
Place of publication
Berlin
Germany
Target group
College/higher education
Professional and scholarly
Illustrations
bibliography, index
Dimensions
Height: 216 mm
Width: 138 mm
Weight
875 gr
ISBN-13
978-3-540-97411-6 (9783540974116)
Schweitzer Classification
Content
Basic theorems; Cartan-Khler theory; linear differential systems; the characteristic variety; prolongation theory; applications of commutative algebra and algebraic geometry to the study of exterior differential systems; partial differential equations; linear differential operators.