Combinatorics Geometry And Probability
Download Combinatorics Geometry And Probability PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Combinatorics Geometry And Probability book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Combinatorics, Geometry and Probability
Author: Béla Bollobás
language: en
Publisher: Cambridge University Press
Release Date: 1997-05-22
A panorama of combinatorics by the world's experts.
Combinatorics and Finite Geometry
Author: Steven T. Dougherty
language: en
Publisher: Springer Nature
Release Date: 2020-10-30
This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.
Introduction to Geometric Probability
Author: Daniel A. Klain
language: en
Publisher: Cambridge University Press
Release Date: 1997-12-11
The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. The first of the three ideas is invariant measures on polyconvex sets. The authors then prove the fundamental lemma of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are investigated, yielding insights into Hecke algebras, Schubert varieties and the quantum world, as viewed by mathematicians. Geometers and combinatorialists will find this a most stimulating and fruitful story.