Differential geometry: curves - surfaces - manifolds. Wolfgang KГѓВјhnel

Differential geometry: curves - surfaces - manifolds



Download Differential geometry: curves - surfaces - manifolds



Differential geometry: curves - surfaces - manifolds Wolfgang KГѓВјhnel ebook djvu
Publisher: American Mathematical Society
Language: English
Page: 392
ISBN: 0821839888, 9780821839881

Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in $I!!R^3$ that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas. With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer and rewarding study of differential geometry, which is what is presented in this book. It starts with an introduction to the classical differential geometry of curves and surfaces in Euclidean space, then leads to an introduction to the Riemannian geometry of more general manifolds, including a look at Einstein spaces. An important bridge from the low-dimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces. The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester undergraduate course. The local and global theories of curves and surfaces are presented, including detailed discussions of surfaces of rotation, ruled surfaces, and minimal surfaces. The second half of the book, which could be used for a more advanced course, begins with an introduction to differentiable manifolds, Riemannian structures, and the curvature tensor. Two special topics are treated in detail: spaces of constant curvature and Einstein spaces. The main goal of the book is to get started in a fairly elementary way, then to guide the reader toward more sophisticated concepts and more advanced topics. There are many examples and exercises to help along the way. Numerous figures help the reader visualize key concepts and examples, especially in lower dimensions. For the second edition, a number of errors were corrected and some text and a number of figures have been added.



MORE EBOOKS:
La Isla de Los Amores Infinitos e book free download
Download Trading Options at Expiration: Strategies and Models for Winning the Endgame ebook
Download Teach Yourself VISUALLY Digital Video, 2nd Edition (Teach Yourself VISUALLY (Tech)) e book
Modified Maxwell equations in quantum electrodynamics pdf free download







Tags: Differential geometry: curves - surfaces - manifolds ebook pdf epub djvu mobi rar
Differential geometry: curves - surfaces - manifolds pdf epub djvu free download
Download Differential geometry: curves - surfaces - manifolds free ebook pdf epub
Differential geometry: curves - surfaces - manifolds read online free book
Differential geometry: curves - surfaces - manifolds cheap ebook for kindle and nook
Wolfgang KГѓВјhnel ebooks and audio books
Differential geometry: curves - surfaces - manifolds download pdf epub rar rapidshare mediafire fileserve 4shared torrent depositfiles scribd