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.
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.
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
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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