Curves and Surfaces

Sebastian Montiel , Antonio Ros , "Curves and Surfaces"
American Mathematical Society (September 13, 2005) | ISBN:0821838156 | 376 pages | Djvu | 3,4 M

This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces, emphasizing the global aspects. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry.

In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss-Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov's theorem on embedded compact surfaces in $\mathbb{R}^3$ with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex.

This volume is suitable for advanced undergraduates, graduate students, and researchers interested in the differential geometry of curves and surfaces. It can also be used as an introduction to a more general study of differential geometry.

This book is jointly published by the AMS and the Real Sociedad Matem¨¢tica Espa?ola (RSME).

http://depositfiles.com/files/2664360

[Fast Download] Curves and Surfaces


Related eBooks:
Control Engineering: MATLAB Exercises
Mathematical Physics: Applied Mathematics for Scientists and Engineers, 2nd edition
Problems and Solutions in Plane Trigonometry, LaTeX Edition: For the use of Colleges and Schools
Foundations of Iso-Differential Calculus, Volume 6 : Theory of Iso-Functions of a Real Iso-Variable
The Application of Mathematics in the Engineering Disciplines
Modeling and Simulation in Python
Idiot's Guides: Geometry
A Course in Topological Combinatorics
Mathematical Modelling in Solid Mechanics
Methods of Theoretical Physics, Part I
Artificial Intelligence for Marketing: Practical Applications
Theory and Practice of Finite Elements
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.