Mathematical Principles of the Internet, Volume 2

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A01=Nirdosh Bhatnagar
algebraic coding
algorithms
Author_Nirdosh Bhatnagar
Category=PBW
Category=UYA
code
cryptography
cryptography methods
Cumulative Distribution Function
Cyclotomic Polynomials
Distributed Random Variables
Elliptic Curve
Elliptic Curves
eq_bestseller
eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
Extended Euclidean Algorithm
Finite Field
game theory
Goe
graph algorithms
Homogeneous CTMC
Hyperbolic Geometry
Hyperbolic Line
Hyperelliptic Curve
information theory
Irreducible Polynomial
Laplace Functional
Laplace Transform
Large Deviation Rate Function
Matrix Tree Theorem
Mellin Transform
Minimal Polynomial
number theory
PPP
Quadratic Residue Modulo
quantum computation applications
quantum computing
queueing analysis
Saddle Point Technique
Stable Random Variable
stochastic networks
Vector Space
Xu Xv

Product details

  • ISBN 9781138505513
  • Weight: 1510g
  • Dimensions: 178 x 254mm
  • Publication Date: 13 Dec 2018
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

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.

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