Mathematical Principles of the Internet, Two Volume Set

Nirdosh Bhatnagar

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English

CRC Press
13 December 2018

Applied mathematics; Computing: general; Mathematical theory of computation

Series: Chapman & Hall/CRC Computer and Information Science Series

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, these cover only a partial panorama and the key principles.

Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed.

In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

By: Nirdosh Bhatnagar
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
Weight: 453g
ISBN: 9781138505285
ISBN 10: 1138505285
Series: Chapman & Hall/CRC Computer and Information Science Series
Pages: 1768
Publication Date: 13 December 2018
Audience: College/higher education , Primary
Format: Mixed media product
Publisher's Status: Active

Information Theory. Algebraic Coding Theory. Cryptography. Internet Traffic. Dynamics, Control, and Management of Internet Congestion. Queueing Theory. Stochastic Structure of the Internet and World Wide Web. Graph-Theoretic Algorithms. Game Theory and the Internet. Internet Economics. Data Mining and Knowledge Discovery. Quantum Computation, Communication, and Cryptography. Number Theory. Abstract Algebra. Matrices and determinants. Graph Theory. Geometry. Applied Analysis. Optimization, stability, and chaos theory. Probability theory. Stochastic processes.

Nirdosh Bhatnagar works, both in the academia and industry in Silicon Valley, California, USA. He is the author of several papers and reports. Nirdosh earned an MS in operations research, and MS and PhD in electrical engineering, all from Stanford University, Stanford, California.