Mathematical Principles of the Internet, Volume 1: Engineering, 1st Edition (Hardback) book cover

Mathematical Principles of the Internet, Volume 1

Engineering, 1st Edition

By Nirdosh Bhatnagar

Chapman and Hall/CRC

1,022 pages | 50 B/W Illus.

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pub: 2018-12-13
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Description

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, they cover 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.

Table of Contents

Volume 1

Introduction

1. Information Theory

2. Algebraic Coding Theory

3. Cryptography

4. Internet Traffic

5. Dynamics, Control, and Management of Internet Congestion

6. Queueing Theory

7. Stochastic Structure of the Internet and the WorldWide Web

8. Graph-Theoretic Algorithms

9. Game Theory and the Internet

10. Internet Economics

11. Data Mining, and Knowledge Discovery

12. Quantum Computation, Communication, and Cryptography

About the Author

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.

About the Series

Chapman & Hall/CRC Computer and Information Science Series

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Subject Categories

BISAC Subject Codes/Headings:
COM012040
COMPUTERS / Programming / Games
COM031000
COMPUTERS / Information Theory
MAT000000
MATHEMATICS / General
MAT021000
MATHEMATICS / Number Systems