**A Modern Course on Curves and Surfaces**

by Richard S. Palais

**Publisher**: virtualmathmuseum.org 2003**Number of pages**: 163

**Description**:

Contents: What is Geometry; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral Theorem; Differential Calculus on Inner-Product Spaces; Normed Spaces and Integration; Ordinary Differential Equations (ODE); Linear ODE and Numerical Methods; The Theorem of Frobenius; Differenttable Parametric Curves; Curves in 3-Space; The Fundamental Forms of a Surface; The Fundamental Theorem of Surface Theory.

Download or read it online for free here:

**Download link**

(650KB, PDF)

## Similar books

**The Foundations of Geometry**

by

**David Hilbert**-

**Project Gutenberg**

Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899) which contained his definitive set of axioms for Euclidean geometry.

(

**12030**views)

**Euclid's Elements**

by

**D.E.Joyce**

Online edition of Euclid's Elements, one of the most beautiful and influential works of science in the history of humankind. The text of all 13 Books is complete, and all of the figures are illustrated using a Java applet called the Geometry Applet.

(

**11399**views)

**Advanced Geometry for High Schools: Synthetic and Analytical**

by

**A.H. McDougall**-

**Copp, Clark**

Contents: Theorems of Menelaus and Ceva; The Nine-Point Circle; Simpson's Line; Areas op Rectangles; Radical Axis; Medial Section; Miscellaneous Theorems; Similar and Similarly Situated Polygons; Harmonic Ranges and Pencils; etc.

(

**5883**views)

**Mathematical Illustrations: A Manual of Geometry and PostScript**

by

**Bill Casselman**-

**Cambridge University Press**

The author gives an introduction to basic features of the PostScript language and shows how to use it for producing mathematical graphics. The book includes the discussion computer graphics and some comments on good style in mathematical illustration.

(

**13613**views)