Systèmes Différentiels Involutifs |
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| Author:
| Malgrange, B. |
| Series title: | Panoramas et Syntheses Ser. |
| ISBN: | 978-2-85629-178-8 |
| Publication Date: | Dec 2005 |
| Publisher: | Societe Mathematique de France
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| Book Format: | Paperback |
| List Price: | USD $38.00 |
Book Description:
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The first part of this volume is an exposition of the theory of systemes en involution of E. Cartan, from the homological point of view of Spencer, Sternburg et al. The point of view of Cartan himself is also recalled, and compared to the preceding one, in Appendix B. The second part proves the generic involutiveness of analytic differential systems, which is a precise version of an assertion of Cartan saying roughly that, by prolongation, a differential system becomes eventually involutiveness.
The first part of this volume is an exposition of the theory of systemes en involution of E. Cartan, from the homological point of view of Spencer, Sternburg et al. The point of view of Cartan himself is also recalled, and compared to the preceding one, in Appendix B. The second part proves the generic involutiveness of analytic differential systems, which is a precise version of an assertion of Cartan saying roughly that, by prolongation, a differential system becomes eventually involutiveness.