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.
發表於2024-12-18
Geometric Analysis 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 幾何 微分幾何7 幾何分析 偏微分方程 Geometric GA Cambridge
讀瞭2/3
評分上課用的教材
評分上課用的教材
評分上課用的教材
評分上課用的教材
Geometric Analysis 2024 pdf epub mobi 電子書 下載