It takes the average reader 4 hours and 46 minutes to read Isometric Embedding of Riemannian Manifolds in Euclidean Spaces by Qing Han
Assuming a reading speed of 250 words per minute. Learn more
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 ${\mathbb R}^3$. 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 Gunther. 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.
Isometric Embedding of Riemannian Manifolds in Euclidean Spaces by Qing Han is 278 pages long, and a total of 71,724 words.
This makes it 94% the length of the average book. It also has 88% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 31 minutes to read Isometric Embedding of Riemannian Manifolds in Euclidean Spaces aloud.
Isometric Embedding of Riemannian Manifolds in Euclidean Spaces is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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