Graph Connections
Relationships between Graph Theory and Other Areas of Mathematics
Series: Oxford Lecture Series in Mathematics and Its Applications; 5;
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Product details:
- Publisher OUP Oxford
- Date of Publication 16 January 1997
- Number of Volumes laminated boards
- ISBN 9780198514978
- Binding Hardback
- No. of pages304 pages
- Size 241x161x22 mm
- Weight 580 g
- Language English
- Illustrations line figures, tables 0
Categories
Short description:
The purpose of this book is to inform mathematicians about the applicability of graph theory to other areas of mathematics, from number theory, to linear algebra, knots, neural networks, and finance. This is achieved through a series of expository chapters, each devoted to a different field and written by an expert in that field. The book is more than a collection of essays however, in that the chapters have been carefully edited to ensure a common level of exposition, with terminology and notation standarised as far as possible.
MoreLong description:
The purpose of this book is to inform mathematicians about the applicability of graph theory to other areas of mathematics, from number theory, to linear algebra, knots, neural networks, and finance. This is achieved through a series of expository chapters, each devoted to a different field and written by an expert in that field. This book is more than a collection of essays however, in that the chapters have been carefully edited to ensure a common level of exposition, with terminology and notation standardized as far as possible. This book will be useful to professsional mathematicians and graduate students. It should also appeal to scientists working in other areas.
Obviously there are other areas of mathematics that have connections with Graph Theory, but the section presented in the current volume is more that sufficient to indicate the great diversity available in applying Graph Theory. There are bound to be several chapters in this book that will appeal to any reader, no matter what his or her particular intests may be.
Table of Contents:
Introduction
Enumeration
Number Theory
Partial Orders
First-order Logic
Linear Algebra
Matroids
Codes
Groups
Geometry
Topology
Knots
Probability
Statistics
Computing
Artificial Neural Networks
International Finance
Notes on Contributors
Index
