Differential Geometry From A Singularity Theory Viewpoint
Title | Differential Geometry From A Singularity Theory Viewpoint PDF eBook |
Author | Shyuichi Izumiya |
Publisher | World Scientific |
Pages | 383 |
Release | 2015-10-29 |
Genre | Mathematics |
ISBN | 9814590460 |
Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture some key geometric features of surfaces. It describes the theory of contact and its link with the theory of caustics and wavefronts. It then uses the powerful techniques of these theories to deduce geometric information about surfaces embedded in 3, 4 and 5-dimensional Euclidean spaces. The book also includes recent work of the authors and their collaborators on the geometry of sub-manifolds in Minkowski spaces.
The Asian Journal of Mathematics
Title | The Asian Journal of Mathematics PDF eBook |
Author | |
Publisher | |
Pages | 670 |
Release | 2004 |
Genre | Mathematics |
ISBN |
Real and Complex Singularities
Title | Real and Complex Singularities PDF eBook |
Author | Terence Gaffney |
Publisher | American Mathematical Soc. |
Pages | 338 |
Release | 2004 |
Genre | Mathematics |
ISBN | 082183665X |
The Workshop on Real and Complex Singularities is held every other year at the Instituto de Ciencias Matematicas e de Computacao (Sao Carlos, Brazil) and brings together specialists in the vanguard of singularities and its applications. This volume contains articles contributed by participants of the seventh workshop.
Hokkaido Mathematical Journal
Title | Hokkaido Mathematical Journal PDF eBook |
Author | |
Publisher | |
Pages | 478 |
Release | 2011-02 |
Genre | Mathematics |
ISBN |
The Lightcone Gauss Map of a Spacelike Surface in Minkowski 4-space
Title | The Lightcone Gauss Map of a Spacelike Surface in Minkowski 4-space PDF eBook |
Author | S. Izumiya |
Publisher | |
Pages | 21 |
Release | 2002 |
Genre | |
ISBN |
Tokyo Journal of Mathematics
Title | Tokyo Journal of Mathematics PDF eBook |
Author | |
Publisher | |
Pages | 588 |
Release | 2000 |
Genre | Mathematics |
ISBN |
Introduction to Lorentz Geometry
Title | Introduction to Lorentz Geometry PDF eBook |
Author | Ivo Terek Couto |
Publisher | CRC Press |
Pages | 351 |
Release | 2021-01-05 |
Genre | Mathematics |
ISBN | 1000223345 |
Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644