**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

**Coordinate Geometry**

by

**Henry B. Fine, Henry D. Thompson**-

**The MacMillan Company**

Contents: Coordinates; The Straight Line; The Circle; The Parabola; The Ellipse; The Hyperbola; Transformation Of Coordinates; The General Equation Of The Second Degree; Sections Of A Cone; Systems Of Conics; Tangents And Polars Of The Conic; etc.

(

**13375**views)

**The Pythagorean Theorem: Crown Jewel of Mathematics**

by

**John C. Sparks**-

**AuthorHouse**

The book chronologically traces the Pythagorean theorem from the beginning, through 4000 years of Pythagorean proofs. The text presents some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the theorem.

(

**14043**views)

**Researches on Curves of the Second Order**

by

**George Whitehead Hearn**-

**Project Gutenberg**

Researches on curves of the second order are given in this book, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis.

(

**7544**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.

(

**17800**views)