**Combinatorial and Computational Geometry**

by J. E. Goodman, J. Pach, E. Welzl

**Publisher**: Cambridge University Press 2007**ISBN/ASIN**: 0521848628**ISBN-13**: 9780521848626**Number of pages**: 616

**Description**:

This volume includes surveys and research articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension. There are points of contact with many applied areas such as mathematical programming, visibility problems, kinetic data structures, and biochemistry, and with algebraic topology, geometric probability, real algebraic geometry, and combinatorics.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**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.

(

**14804**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.

(

**4834**views)

**Modern Geometry**

by

**Robert Sharpley**-

**University of South Carolina**

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, transformation theory, affine geometry, Euclidean, non-Euclidean geometries, topology.

(

**4975**views)

**Flavors of Geometry**

by

**Silvio Levy**-

**Cambridge University Press**

This book collects accessible lectures on four geometrically flavored fields of mathematics that have experienced great development in recent years: hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation.

(

**8664**views)