**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

**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.

(

**14903**views)

**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.

(

**10320**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.

(

**20531**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.

(

**12998**views)