**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

**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.

(

**7759**views)

**Geometry and Group Theory**

by

**Christopher Pope**-

**Texas A&M University**

Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.

(

**14745**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.

(

**12290**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.

(

**8407**views)