An Introduction to Gaussian Geometry
by Sigmundur Gudmundsson
Publisher: Lund University 2009
Number of pages: 75
Description:
The purpose of these notes is to introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra, real analysis of several variables, and basic knowledge of the classical theory of ordinary differential equations and some topology.
Download or read it online for free here:
Download link
(370KB, PDF)
Similar books
Algebraic geometry and projective differential geometryby Joseph M. Landsberg - arXiv
Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.
(15918 views)
Orthonormal Basis in Minkowski Spaceby Aleks Kleyn, Alexandre Laugier - arXiv
In this paper, we considered the definition of orthonormal basis in Minkowski space, the structure of metric tensor relative to orthonormal basis, procedure of orthogonalization. Contents: Preface; Minkowski Space; Examples of Minkowski Space.
(10242 views)
Ricci-Hamilton Flow on Surfacesby Li Ma - Tsinghua University
Contents: Ricci-Hamilton flow on surfaces; Bartz-Struwe-Ye estimate; Hamilton's another proof on S2; Perelman's W-functional and its applications; Ricci-Hamilton flow on Riemannian manifolds; Maximum principles; Curve shortening flow on manifolds.
(9551 views)
Synthetic Geometry of Manifoldsby Anders Kock - University of Aarhus
This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.
(11012 views)