Elementary Differential Geometry: Curves and Surfaces; Edition 2008

Title	:	Elementary Differential Geometry: Curves and Surfaces; Edition 2008
Authors	:	Martin Raussen
	:	DEPARTMENT OF MATHEMATICAL SCIENCES, AALBORG UNIVERSITY

Plane and Space: Linear Algebra and Geometry
1. Vectors and Products
2. Description of Lines and Planes
3. Orthogonal Projections, Distances and Angles
4. Change of Coordinate Systems

Curves in plane and space
1. Vector functions in one variable
2. Parametrized Curves
3. Curvature
4. Space Curves: Moving Frames and Torsion
5. How to use the geometric laboratory - an example

Chapter 3. Regular Surfaces
1. Parametrizations of surfaces
2. Measurement in curved coordinates: the 1. fundamental form
3. Normal sections and normal curvature
4. Normal and geodesic curvature; the second fundamental form
5. Principal curvatures, Gaussian curvature, and Mean curvature
6. Special surfaces
7. The geometric labotatory for surfaces

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