| 书目名称 | Exterior Differential Systems | | 编辑 | Robert L. Bryant,S. S. Chern,P. A. Griffiths | | 视频video | | | 丛书名称 | Mathematical Sciences Research Institute Publications | | 图书封面 |  | | 描述 | 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 sy | | 出版日期 | Book 1991 | | 关键词 | Canon; Lemma; Web; boundary element method; character; commutative property; differential equation; differe | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4613-9714-4 | | isbn_softcover | 978-1-4613-9716-8 | | isbn_ebook | 978-1-4613-9714-4Series ISSN 0940-4740 | | issn_series | 0940-4740 | | copyright | Springer-Verlag New York Inc. 1991 |
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发表于 2025-3-21 17:42:00
