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Geometric Analysis
Hardback
Main Details
Title |
Geometric Analysis
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Authors and Contributors |
By (author) Peter Li
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Series | Cambridge Studies in Advanced Mathematics |
Physical Properties |
Format:Hardback | Pages:418 | Dimensions(mm): Height 229,Width 152 |
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Category/Genre | Calculus and mathematical analysis Geometry |
ISBN/Barcode |
9781107020641
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Classifications | Dewey:515.1 |
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Audience | Postgraduate, Research & Scholarly | |
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Publishing Details |
Publisher |
Cambridge University Press
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Imprint |
Cambridge University Press
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Publication Date |
3 May 2012 |
Publication Country |
United Kingdom
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Description
The aim of this graduate-level text is to equip the reader with the basic tools and techniques needed for research in various areas of geometric analysis. Throughout, the main theme is to present the interaction of partial differential equations and differential geometry. More specifically, emphasis is placed on how the behavior of the solutions of a PDE is affected by the geometry of the underlying manifold and vice versa. For efficiency the author mainly restricts himself to the linear theory and only a rudimentary background in Riemannian geometry and partial differential equations is assumed. Originating from the author's own lectures, this book is an ideal introduction for graduate students, as well as a useful reference for experts in the field.
Author Biography
Peter Li is Chancellor's Professor at the University of California, Irvine.
Reviews"This monograph is a beautiful introduction to geometric analysis." Frederic Robert, Mathematical Reviews
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