Exterior Differential Systems (mathematical Sciences Research Institute Publications)
by Robert L. Bryant /
1990 / English / DjVu
5.9 MB Download
This book 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 book 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.
