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Exterior Differential Systems (Mathematical Sciences Research Institute Publications (18)) by Robert L. Bryant, S. S. Chern, Robert B. Gardner, Hubert L. Goldschmidt, P. A. Griffiths (auth.) is a nonfiction available to read on EtoBox.

What is Exterior Differential Systems (Mathematical Sciences Research Institute Publications (18)) about?

This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an exterior differential system constitutes a differential ideal in the algebra of all smooth forms. Thus the theory is coordinate-free and computations typically have an algebraic character; however, even when coordinates are used in intermediate steps, the use of exterior algebra helps to efficiently guide the computations, and as a consequence the treatment adapts well to geometrical and physical problems. A system of partial differential equations, with any number of inde pendent and dependent variables and involving partial derivatives of any order, can be written as an exterior differential syst

Who reads Exterior Differential Systems (Mathematical Sciences Research Institute Publications (18))?

Author

Robert L. Bryant, S. S. Chern, Robert B. Gardner, Hubert L. Goldschmidt, P. A. Griffiths (auth.)

Publisher

Cambridge University Press

Published

1991

Language

EN

ISBN

9781461397144

Category

nonfiction

Subjects

Mathematics, Stem