Name: Oriented Matroids (en Inglés)
SKU: 64243009
Price: 96.00 USD
Availability: InStock
Author: Anderson Laura
ISBN: 9781009494113

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Anderson Laura

Idioma

Inglés

Encuadernación

Tapa Dura

ISBN13

9781009494113

Oriented Matroids (en Inglés)

Anderson Laura (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Oriented Matroids (en Inglés)"

Oriented matroids appear throughout discrete geometry, with applications in algebra, topology, physics, and data analysis. This introduction to oriented matroids is intended for graduate students, scientists wanting to apply oriented matroids, and researchers in pure mathematics. The presentation is geometrically motivated and largely self-contained, and no knowledge of matroid theory is assumed. Beginning with geometric motivation grounded in linear algebra, the first chapters prove the major cryptomorphisms and the Topological Representation Theorem. From there the book uses basic topology to go directly from geometric intuition to rigorous discussion, avoiding the need for wider background knowledge. Topics include strong and weak maps, localizations and extensions, the Euclidean property and non-Euclidean properties, the Universality Theorem, convex polytopes, and triangulations. Themes that run throughout include the interplay between combinatorics, geometry, and topology, and the idea of oriented matroids as analogs to vector spaces over the real numbers and how this analogy plays out topologically.