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Geometric Analysis (Cambridge Studies in Advanced Mathematics, Series Number 134)
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Geometric Analysis Features
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Used Book in Good Condition
About Geometric Analysis
Product 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. Review "This monograph is a beautiful introduction to geometric analysis." Frederic Robert, Mathematical Reviews Book Description This graduate-level text demonstrates the basic techniques for researchers interested in the field of geometric analysis. Book Description This graduate-level text demonstrates the basic techniques and how to apply them to various areas of research in geometric analysis. The author focuses mainly on the interaction of partial differential equations with differential geometry and only a rudimentary knowledge of Riemannian geometry and partial differential equations is required. About the Author Peter Li is Chancellor's Professor at the University of California, Irvine.
