**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 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.

(

**11639**views)

**Geometry of Four Dimensions**

by

**Parker Manning Henry**-

**The MacMillan Company**

Contents: The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; etc.

(

**8324**views)

**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...

(

**5469**views)

**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.

(

**10080**views)