Discrete Structures and Their Interactions

Name: Discrete Structures and Their Interactions
Brand: Taylor & Francis Inc
Price: 324.75 AUD
Availability: BackOrder

By: Jason I. Brown

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Hardcover | 24 June 2013 | Edition Number 1

At a Glance

Hardcover
218 Pages

Dimensions(cm)
23.4 x 15.6 x 1.9

Hardcover

RRP $378.00

$324.75

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Discover the Connections between Different Structures and Fields

Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology.

The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures.

Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics. It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics.

Industry Reviews

"The book is a collection of examples, each of which shows either how discrete structures interact with each other or how discrete structures interact with other parts of mathematics. ... I am certain I will use some examples I found in this book when I teach combinatorics in the upcoming semester."
-Miklos Bona, MAA Reviews, December 2013

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