Your Waterstones card is changing, introducing...
TELL ME MORE
Computational Synthetic Geometry - Lecture Notes in Mathematics 1355 (Paperback)
  • Computational Synthetic Geometry - Lecture Notes in Mathematics 1355 (Paperback)
zoom

Computational Synthetic Geometry - Lecture Notes in Mathematics 1355 (Paperback)

(author), (author)
£22.99
Paperback 172 Pages / Published: 12/07/1989
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket
Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes from simplicial complexes, vector geometries from incidence structures and hyperplane arrangements from oriented matroids. It turns out that algorithms for these constructions exist if and only if arbitrary polynomial equations are decidable with respect to the underlying field. Besides such complexity theorems a variety of symbolic algorithms are discussed, and the methods are applied to obtain new mathematical results on convex polytopes, projective configurations and the combinatorics of Grassmann varieties. Finally algebraic varieties characterizing matroids and oriented matroids are introduced providing a new basis for applying computer algebra methods in this field. The necessary background knowledge is reviewed briefly. The text is accessible to students with graduate level background in mathematics, and will serve professional geometers and computer scientists as an introduction and motivation for further research.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540504788
Number of pages: 172
Weight: 580 g
Dimensions: 235 x 155 x 9 mm
Edition: 1989 ed.

You may also be interested in...

Platonic and Archimedean Solids
Added to basket
Ruler and Compass
Added to basket
£5.99
Paperback
Fractals: A Very Short Introduction
Added to basket
Elliptic Tales
Added to basket
£13.99
Paperback
Islamic Design
Added to basket
£5.99
Paperback
Symmetry: A Very Short Introduction
Added to basket
Mathematics and Its History
Added to basket
Introduction to Smooth Manifolds
Added to basket
Trigonometry For Dummies
Added to basket
Euclid's Window
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.