Book by Schott+Staples: Operator Calculus on Graphs, ICP 2012


OPERATOR CALCULUS ON GRAPHS
Theory and Applications in Computer Science
Imperial College Press, London, 2012

by René Schott (Université Henri Poincaré, France) & G Stacey Staples (Southern Illinois University Edwardsville, USA)

Table of Contents (260k)
Preface (134k)
Chapter 1: Introduction (337k)

This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.

Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.

Contents:
  • Combinatorial Algebras and Their Properties
  • Combinatorics and Graph Theory
  • Operator Calculus
  • Probability on Algebraic Structures
  • Computational Complexity
  • Symbolic Computations Using Mathematica
Readership: Graduate students and researchers in mathematics, physics and computer science.
420pp Pub. date: Feb 2012
ISBN:   978-1-84816-876-3
1-84816-876-4
US$134 / £88

Source: Email by S. Staples, sstaple_at_siue.edu, 28 Feb. 2012, 3:44am

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