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

Mathematical Principles of the Internet, Two Volume Set

1st Edition

By Nirdosh Bhatnagar

Chapman and Hall/CRC

1,768 pages | 100 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9781138505285
pub: 2018-12-13
SAVE ~$79.99
$399.95
$319.96
x
eBook (VitalSource) : 9781315146591
pub: 2019-03-18
from $199.98


FREE Standard Shipping!

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, 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.

Table of Contents

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.

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

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
COM000000
COMPUTERS / General
COM012040
COMPUTERS / Programming / Games
COM031000
COMPUTERS / Information Theory
MAT000000
MATHEMATICS / General
MAT021000
MATHEMATICS / Number Systems