Isometric Embedding of Riemannian Manifolds in Euclidean Spaces pdf epub mobi txt 电子书 下载 2024


Isometric Embedding of Riemannian Manifolds in Euclidean Spaces

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Qing Han
American Mathematical Society
2006-10-10
260
USD 77.00
Hardcover
Mathematical Surveys and Monographs
9780821840719

图书标签: 数学  微分几何  几何  拓扑  微分几何7   


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发表于2024-10-31

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces pdf epub mobi txt 电子书 下载 2024



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The question of the existence of isometric embeddings of Riemannian manifolds in Euclidean space is already more than a century old. This book presents, in a systematic way, results both local and global and in arbitrary dimension but with a focus on the isometric embedding of surfaces in R3. The emphasis is on those PDE techniques which are essential to the most important results of the last century. The classic results in this book include the Janet-Cartan Theorem, Nirenberg's solution of the Weyl problem, and Nash's Embedding Theorem, with a simplified proof by Günther. The book also includes the main results from the past twenty years, both local and global, on the isometric embedding of surfaces in Euclidean 3-space. The work will be indispensable to researchers in the area. Moreover, the authors integrate the results and techniques into a unified whole, providing a good entry point into the area for advanced graduate students or anyone interested in this subject. The authors avoid what is technically complicated. Background knowledge is kept to an essential minimum: a one-semester course in differential geometry and a one-year course in partial differential equations.

http://www.amazon.com/Isometric-Embedding-Riemannian-Mathematical-Monographs/dp/0821840711

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces 下载 mobi epub pdf txt 电子书

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