Isometric Embedding of Riemannian Manifolds in Euclidean Spaces (Mathematical Surveys and Monographs) Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:
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 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.

Isometric Embedding of Riemannian Manifolds in Euclidean Spaces (Mathematical Surveys and Monographs) by Qing Han and Jia-Xing Hong

From reader reviews:

Evita Young:

Within other case, little individuals like to read book Isometric Embedding of Riemannian Manifolds in Euclidean Spaces (Mathematical Surveys and Monographs). You can choose the best book if you appreciate reading a book. Providing we know about how is important a new book Isometric Embedding of Riemannian Manifolds in Euclidean Spaces (Mathematical Surveys and Monographs). You can add understanding and of course you can around the world by a book. Absolutely right, mainly because from book you can learn everything! From your country until finally foreign or abroad you may be known. About simple issue until wonderful thing it is possible to know that. In this era, we are able to open a book or searching by internet product. It is called e-book. You should use it when you feel uninterested to go to the library. Let's go through.

Pablo Cook:

What do you concerning book? It is not important to you? Or just adding material when you need something to explain what the ones you have problem? How about your spare time? Or are you busy man? If you don't have spare time to complete others business, it is make you feel bored faster. And you have spare time? What did you do? Everyone has many questions above. They should answer that question due to the fact just their can do that. It said that about book. Book is familiar on every person. Yes, it is proper. Because start from on kindergarten until university need that Isometric Embedding of Riemannian Manifolds in Euclidean Spaces (Mathematical Surveys and Monographs) to read.

Terry Kiser:

Reading can called head hangout, why? Because when you find yourself reading a book specially book entitled Isometric Embedding of Riemannian Manifolds in Euclidean Spaces (Mathematical Surveys and Monographs) the mind will drift away trough every dimension, wandering in each aspect that maybe mysterious for but surely might be your mind friends. Imaging each and every word written in a e-book then become one web form conclusion and explanation that maybe you never get before. The Isometric Embedding of Riemannian Manifolds in Euclidean Spaces (Mathematical Surveys and Monographs) giving you yet another experience more than blown away your mind but also giving you useful details for your better life with this era. So now let us show you the relaxing pattern is your body and mind will likely be pleased when you are finished examining it, like winning a casino game. Do you want to try this extraordinary investing spare time activity?

Natalie Althoff:

Is it you actually who having spare time after that spend it whole day by means of watching television programs or just lying on the bed? Do you need something new? This Isometric Embedding of Riemannian Manifolds in Euclidean Spaces (Mathematical Surveys and Monographs) can be the answer, oh how comes? A book you know. You are consequently out of date, spending your time by reading in this brand-new era is common not a nerd activity. So what these books have than the others?