**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

**The Axiomatic Method**

by

**L. Henkin, P. Suppes, A. Tarski**-

**North Holland Publishing Company**

The volume naturally divides into three parts. Part I consists of 14 papers on the foundations of geometry, Part II of 14 papers on the foundations of physics, and Part III of five papers on general problems and applications of the axiomatic method.

(

**5160**views)

**Tilings and Patterns**

by

**E O Harriss**-

**Mathematicians.org.uk**

Contents: Background Material (Euclidean Space, Delone Sets, Z-modules and lattices); Tilings of the plane (Periodic, Aperiodic, Penrose Tilings, Substitution Rules and Tiling, Matching Rules); Symbolic and Geometric tilings of the line.

(

**8218**views)

**Fundamentals of Geometry**

by

**Oleg A. Belyaev**-

**Moscow State University**

A continually updated book devoted to rigorous axiomatic exposition of the basic concepts of geometry. Self-contained comprehensive treatment with detailed proofs should make this book both accessible and useful to a wide audience of geometry lovers.

(

**17500**views)

**Quadratic Forms and Their Applications**

by

**Andrew Ranicki, et al.**-

**American Mathematical Society**

This volume includes papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed.

(

**8072**views)