Graph Connections: Relationships between Graph Theory and Other Areas of Mathematics: 5 - Rilegato

 
9780198514978: Graph Connections: Relationships between Graph Theory and Other Areas of Mathematics: 5

Sinossi

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.

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Recensione

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.

Contenuti

  • 1: Robin J. Wilson: Introduction
  • 2: Ronald C. Read: Enumeration
  • 3: Roger Cook: Number Theory
  • 4: Graham Brightwell: Partial Orders
  • 5: Peter J. Cameron: First-order Logic
  • 6: Peter Rowlinson: Linear Algebra
  • 7: James Oxley: Matroids
  • 8: Robert T. Curtis and Tony R. Morris: Codes
  • 9: Peter J. Cameron: Groups
  • 10: Edward R. Scheinerman: Geometry
  • 11: Lowell W. Beineke: Topology
  • 12: Dominic Welsh: Knots
  • 13: Colin McDiarmid: Probability
  • 14: Peter Wild: Statistics
  • 15: Robin Whitty: Computing
  • 16: Martin Anthony: Artificial Neural Networks
  • 17: Norman Biggs: International Finance
  • Notes on Contributors
  • Index

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