Geometric analysis
Li, Peter
Geometric analysis - Cambridge: Cambridge University Press, 2012. - x, 406 p. : ill. ; hb, 24 cm. - Cambridge studies in advanced mathematics ; 134 .
Includes bibliographical references (pages 399-403) and index.
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.
9781107020641
Geometric analysis
Analysis
Mathematics
515.1 / LIP
Geometric analysis - Cambridge: Cambridge University Press, 2012. - x, 406 p. : ill. ; hb, 24 cm. - Cambridge studies in advanced mathematics ; 134 .
Includes bibliographical references (pages 399-403) and index.
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.
9781107020641
Geometric analysis
Analysis
Mathematics
515.1 / LIP
