**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

**Orthonormal Basis in Minkowski Space**

by

**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.

(

**5029**views)

**Geometric Wave Equations**

by

**Stefan Waldmann**-

**arXiv**

We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.

(

**4611**views)

**Cusps of Gauss Mappings**

by

**Thomas Banchoff, Terence Gaffney, Clint McCrory**-

**Pitman Advanced Pub. Program**

Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.

(

**10072**views)

**Natural Operations in Differential Geometry**

by

**Ivan Kolar, Peter W. Michor, Jan Slovak**-

**Springer**

A comprehensive textbook on all basic structures from the theory of jets. It begins with an introduction to differential geometry. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces.

(

**10751**views)