Categories

- Author: Sebastian Montiel and Antonio Ros
- Pages: 376
- Language: English
- ISBN/ASIN: 821847635
- ISBN13: 9780821847633
- Upload date: 14-08-2015, 20:38
- Category: Mathematics

This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. 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. Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course.

- Download Curves and Surfaces (Graduate Studies in Mathematics),2nd Revised edition - UseNet cloud
- http://uploaded.net/file/k4nzn9y2

* If download links doesn't work. Please write a comment.

Curves and Surfaces (Graduate Studies in Mathematics),2nd Revised edition Download via usenet
Riemann Surfaces by Donaldson Plane Algebraic Curves (Student Mathematical Library, V. 15) Modeling of Curves and Surfaces with MATLAB Lectures on Algebraic Geometry 1: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces (Aspects of Mathematics) Lecture Notes on Elementary Topology and Geometry (Undergraduate Texts in Mathematics) Geometry of Algebraic Curves: Vol 1 Elementary Differential Geometry, Revised 2nd Edition, Second Edition Elementary Differential Geometry Differential Geometry from Singularity Theory Viewpoint Differential Geometry for Physicists and Mathematicians: Moving Frames and Differential Forms: From Euclid Past Riemann Differential Geometry and Its Applications Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design Curved Spaces: From Classical Geometries to Elementary Differential Geometry (Cambridge University Press) Classical Differential Geometry of Curves and Surfaces (Lie Groups : History, Frontiers and Applications, Vol XV) An Introduction to Differential Manifolds Algebraic Geometry Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) A Short Course in Differential Geometry and Topology A New Approach to Differential Geometry using Clifford's Geometric Algebra A Differential Approach to Geometry: Geometric Trilogy III A Book of Curves Differential Geometry of Curves and Surfaces Algebraic Curves in Cryptography

Mike Dooley | Turks Head | Green Tea | Opengl Superbible | Non-Photorealistic Rendering | 3D Engine Design | Antony C. Sutton | Nutrition Brain | Graphics Shaders | Algebra Vectorial | 0725402490 | Aviation Factfile | Curtiss | Bulge | Ardennes | Minimalism | Bartlett | Motel | Astronomy July 2015 | Verb Tense | Tense | Mary Tudor | Slip Stitch | Gaap | Accomplish More | Self-Help | Zecharia Sitchin | Tom Butler-Bowdon | Sucess | Graceling | Ken Blanchard | Things Done | More Done | Fry Study | Spencer Johnson |