Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry

Not currently available

Differential Geometry - Curves - Surfaces - Manifolds (Paperback, 2nd Revised edition) Loot Price: R1,019
Discovery Miles 10 190
Differential Geometry - Curves - Surfaces - Manifolds (Paperback, 2nd Revised edition): Wolfgang Kuhnel

Differential Geometry - Curves - Surfaces - Manifolds (Paperback, 2nd Revised edition)

Wolfgang Kuhnel

Series: Student Mathematical Library, No. 16

 (sign in to rate)
Loot Price R1,019 Discovery Miles 10 190 | Repayment Terms: R93 pm x 12*

Bookmark and Share

Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.

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.


Imprint: American Mathematical Society
Country of origin: United States
Series: Student Mathematical Library, No. 16
Release date: December 2005
Authors: Wolfgang Kuhnel
Dimensions: 216 x 141 x 21mm (L x W x T)
Format: Paperback
Pages: 380
Edition: 2nd Revised edition
ISBN-13: 978-0-8218-3988-1
Subtitles: German
Categories: Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN: 0-8218-3988-8
Barcode: 9780821839881

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!