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portada The Mathematics of Finite Networks: An Introduction to Operator Graph Theory
Type
Physical Book
Year
2022
Language
English
Pages
200
Format
Hardcover
Dimensions
22.9 x 15.2 x 2.4 cm
Weight
0.69 kg.
ISBN13
9781107134430

The Mathematics of Finite Networks: An Introduction to Operator Graph Theory

Michael Rudolph (Author) · Cambridge University Press · Hardcover

The Mathematics of Finite Networks: An Introduction to Operator Graph Theory - Rudolph, Michael

Physical Book

£ 81.32

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Origin: U.S.A. (Import costs included in the price)
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Synopsis "The Mathematics of Finite Networks: An Introduction to Operator Graph Theory"

Since the early eighteenth century, the theory of networks and graphs has matured into an indispensable tool for describing countless real-world phenomena. However, the study of large-scale features of a network often requires unrealistic limits, such as taking the network size to infinity or assuming a continuum. These asymptotic and analytic approaches can significantly diverge from real or simulated networks when applied at the finite scales of real-world applications. This book offers an approach to overcoming these limitations by introducing operator graph theory, an exact, non-asymptotic set of tools combining graph theory with operator calculus. The book is intended for mathematicians, physicists, and other scientists interested in discrete finite systems and their graph-theoretical description, and in delineating the abstract algebraic structures that characterise such systems. All the necessary background on graph theory and operator calculus is included for readers to understand the potential applications of operator graph theory.

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