**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

**Euclid's 'Elements' Redux**

by

**Daniel Callahan**-

**starrhorse.com**

Euclid's 'Elements' Redux is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time...

(

**7774**views)

**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.

(

**13907**views)

**A Tour of Triangle Geometry**

by

**Paul Yiu**-

**Florida Atlantic University**

We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.

(

**5655**views)

**Virtual Polyhedra: The Encyclopedia of Polyhedra**

by

**George W. Hart**

Polyhedra have an enormous aesthetic appeal and the subject is fun and easy. This is a collection of thousands of virtual reality polyhedra for you to explore. There are hundreds here which have never been illustrated in any previous publication.

(

**11997**views)