operator calculus on graphs theory and applications in computer science

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Operator Calculus On Graphs

Author : René Schott
ISBN : 9781848168763
Genre : Mathematics
File Size : 63. 54 MB
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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.

A Study Of Braids

Author : Kunio Murasugi
ISBN : 0792357671
Genre : Computers
File Size : 49. 20 MB
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This book provides a comprehensive exposition of the theory of braids, beginning with the basic mathematical definitions and structures. Among the many topics explained in detail are: the braid group for various surfaces; the solution of the word problem for the braid group; braids in the context of knots and links (Alexander's theorem); Markov's theorem and its use in obtaining braid invariants; the connection between the Platonic solids (regular polyhedra) and braids; the use of braids in the solution of algebraic equations. Dirac's problem and special types of braids termed Mexican plaits are also discussed. Audience: Since the book relies on concepts and techniques from algebra and topology, the authors also provide a couple of appendices that cover the necessary material from these two branches of mathematics. Hence, the book is accessible not only to mathematicians but also to anybody who might have an interest in the theory of braids. In particular, as more and more applications of braid theory are found outside the realm of mathematics, this book is ideal for any physicist, chemist or biologist who would like to understand the mathematics of braids. With its use of numerous figures to explain clearly the mathematics, and exercises to solidify the understanding, this book may also be used as a textbook for a course on knots and braids, or as a supplementary textbook for a course on topology or algebra.

Discrete Calculus

Author : Leo J. Grady
ISBN : 1849962901
Genre : Computers
File Size : 60. 6 MB
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This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Many example applications from several fields of computational science are provided.

Mathematical Reviews

Author :
ISBN : UVA:X006195255
Genre : Mathematics
File Size : 73. 12 MB
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Congressus Numerantium

Author :
ISBN : UOM:39015059050040
Genre : Mathematics
File Size : 47. 1 MB
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Differential And Integral Calculus

Author : Richard Courant
ISBN : 0471608424
Genre : Mathematics
File Size : 43. 2 MB
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This set features: Foundations of Differential Geometry, Volume 1 by Shoshichi Kobayashi and Katsumi Nomizu (978-0-471-15733-5) Foundations of Differential Geometry, Volume 2 by Shoshichi Kobayashi and Katsumi Nomizu (978-0-471-15732-8) Differential and Integral Calculus, Volume 1 by Richard Courant (978-0-471-60842-4) Differential and Integral Calculus, Volume 2 by Richard Courant (978-0-471-60840-0) Linear Operators, Part 1: General Theory by Neilson Dunford and Jacob T. Schwartz (978-0-471-60848-6) Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert Space Theory by Neilson Dunford and Jacob T. Schwartz (978-0-471-60847-9) Linear Operators, Part 3: Spectral Operators by Neilson Dunford and Jacob T. Schwartz (978-0-471-60846-2) Applied and Computational Complex Analysis, Volume 1, Power Series Integration Conformal Mapping Location of Zero by Peter Henrici (978-0-471-60841-7) Applied and Computational Complex Analysis, Volume 2, Special Functions-Integral Transforms- Asymptotics-Continued Fractions by Peter Henrici (978-0-471-54289-6) Applied and Computational Complex Analysis, Volume 3, Discrete Fourier Analysis, Cauchy Integrals, Construction of Conformal Maps, Univalent Functions by Peter Henrici (978-0-471-58986-0)"

Uc Santa Cruz

Author : University of California, Santa Cruz
ISBN : UCSC:32106015401281
Genre :
File Size : 45. 2 MB
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