**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 Modern Geometry of the Triangle**

by

**William Gallatly**-

**F. Hodgson**

The author expresses his expectation, that these novel and interesting theorems some British, but the greater part derived from French and German sources will widen the outlook of our mathematical instructors and lend new vigour to their teaching.

(

**742**views)

**An Elementary Treatise on Conic Sections**

by

**Charles Smith**-

**The Macmillan Company**

In the following work I have investigated the more elementary properties of the Ellipse, Parabola, and Hyperbola, defined with reference to a focus and directrix, before considering the General Equation of the Second Degree...

(

**4584**views)

**Lectures on Discrete and Polyhedral Geometry**

by

**Igor Pak**-

**UCLA**

This book is aimed to be an introduction to some of our favorite parts of the subject, covering some familiar and popular topics as well as some old, forgotten, sometimes obscure, and at times very recent and exciting results.

(

**7680**views)

**Practical Plane and Solid Geometry for Advanced Students**

by

**J. Harrison, G.A. Baxandall**-

**Macmillan**

This book is written for Science students. The necessity of accurate draughtsmanship is insisted on throughout. We describe how the drawing instruments may be set and maintained. And the numerical answers are appended to many of the examples.

(

**2792**views)