**Modern Geometry**

by Robert Sharpley

**Publisher**: University of South Carolina 2008**Number of pages**: 230

**Description**:

This course is a study of modern geometry as a logical system based upon postulates and undefined terms. Projective geometry, theorems of Desargues and Pappus, conics, transformation theory, affine geometry, Euclidean geometry, non-Euclidean geometries, and topology.

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## Similar books

**Geometry and the Imagination**

by

**Conway, Doyle, Thurston**-

**Rutgers University, Newark**

These are notes from an experimental mathematics course entitled Geometry and the Imagination as developed by Conway, Doyle, Thurston and others. The course aims to convey the richness, diversity, connectedness, depth and pleasure of mathematics.

(

**854**views)

**Geometric Theorems and Arithmetic Functions**

by

**Jozsef Sandor**-

**American Research Press**

Contents: on Smarandache's Podaire theorem, Diophantine equation, the least common multiple of the first positive integers, limits related to prime numbers, a generalized bisector theorem, values of arithmetical functions and factorials, and more.

(

**12611**views)

**The Geometry of the Sphere**

by

**John C. Polking**-

**Rice University**

We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere there are no straight lines. Therefore it is natural to use great circles as replacements for lines.

(

**6300**views)

**Fractal Geometry**

by

**Michael Frame, Benoit Mandelbrot, Nial Neger**-

**Yale University**

This is an introduction to fractal geometry for students without especially strong mathematical preparation, or any particular interest in science. Each of the topics contains examples of fractals in the arts, humanities, or social sciences.

(

**10983**views)