9780691081113-0691081115-Lie Equations, Vol. I: General Theory. (AM-73) (Annals of Mathematics Studies (73))

Lie Equations, Vol. I: General Theory. (AM-73) (Annals of Mathematics Studies (73))

ISBN-13: 9780691081113
ISBN-10: 0691081115
Author: Kumpera, Antonio, Spencer, Donald Clayton
Publication date: 1972
Publisher: Princeton University Press
Format: Paperback 309 pages
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Book details

ISBN-13: 9780691081113
ISBN-10: 0691081115
Author: Kumpera, Antonio, Spencer, Donald Clayton
Publication date: 1972
Publisher: Princeton University Press
Format: Paperback 309 pages

Summary

Acknowledged authors Kumpera, Antonio, Spencer, Donald Clayton wrote Lie Equations, Vol. I: General Theory. (AM-73) (Annals of Mathematics Studies (73)) comprising 309 pages back in 1972. Textbook and eTextbook are published under ISBN 0691081115 and 9780691081113. Since then Lie Equations, Vol. I: General Theory. (AM-73) (Annals of Mathematics Studies (73)) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

In this monograph the authors redevelop the theory systematically using two different approaches. A general mechanism for the deformation of structures on manifolds was developed by Donald Spencer ten years ago. A new version of that theory, based on the differential calculus in the analytic spaces of Grothendieck, was recently given by B. Malgrange. The first approach adopts Malgrange's idea in defining jet sheaves and linear operators, although the brackets and the non-linear theory arc treated in an essentially different manner. The second approach is based on the theory of derivations, and its relationship to the first is clearly explained. The introduction describes examples of Lie equations and known integrability theorems, and gives applications of the theory to be developed in the following chapters and in the subsequent volume.

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