Mathematical Principles of the Internet, Volume 1
Mathematical Principles of the Internet, Volume 1

Author: Nirdosh Bhatnagar

Publisher: CRC Press

Published: 2018-11-20

Total Pages: 1022

ISBN-13: 1351379151

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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.

Mathematical Principles of the Internet, Volume 2
Mathematical Principles of the Internet, Volume 2

Author: Nirdosh Bhatnagar

Publisher: CRC Press

Published: 2018-11-21

Total Pages: 694

ISBN-13: 1351379127

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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.

Mathematical Principles of the Internet, Two Volume Set
Mathematical Principles of the Internet, Two Volume Set

Author: Nirdosh Bhatnagar

Publisher: CRC Press

Published: 2019-03-18

Total Pages: 1768

ISBN-13: 1351379216

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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, 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.

Mathematical Principles of the Internet
Mathematical Principles of the Internet

Author: Nirdosh Bhatnagar

Publisher:

Published: 2018

Total Pages: 0

ISBN-13: 9781138505513

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The purpose of these books is to provide mathematical principles of Internet engineering. They do not aim to provide all of the mathematical foundations upon which the Internet is based. Rather, they cover a partial panorama and key principles. The book is divided into two parts. Volume 1 explores Internet engineering. The supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes. An effort has been made to provide justification and informal proofs as much as possible. Each chapter also begins with a portrait and a brief account of the work of a prominent mathematician/scientist/engineer--

The Principles of Mathematics
The Principles of Mathematics

Author: Bertrand Russell

Publisher: W. W. Norton & Company

Published: 1996

Total Pages: 580

ISBN-13: 9780393314045

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Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.

Mathematical Principles for Scientific Computing and Visualization
Mathematical Principles for Scientific Computing and Visualization

Author: Gerald Farin

Publisher: CRC Press

Published: 2008-10-21

Total Pages: 286

ISBN-13: 1439865043

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This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coo

Mathematical Principles of Optical Fiber Communication
Mathematical Principles of Optical Fiber Communication

Author: J. K. Shaw

Publisher: SIAM

Published: 2004-05-01

Total Pages: 103

ISBN-13: 0898715563

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This book is intended to support and promote interdisciplinary research in optical fiber communications by providing essential background in both the physical and mathematical principles of the discipline. It is written to be as independent as possible while taking the reader to the frontiers of research on fiber optics communications.

Mathematical Foundations of Computer Networking
Mathematical Foundations of Computer Networking

Author: Srinivasan Keshav

Publisher: Pearson Education

Published: 2012

Total Pages: 496

ISBN-13: 0321792106

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Mathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability * Statistics * Linear Algebra * Optimization * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory * Game Theory * Control theory * Information theory

The Beauty of Mathematics in Computer Science
The Beauty of Mathematics in Computer Science

Author: Jun Wu

Publisher: CRC Press

Published: 2018-11-20

Total Pages: 288

ISBN-13: 1351689118

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The Beauty of Mathematics in Computer Science explains the mathematical fundamentals of information technology products and services we use every day, from Google Web Search to GPS Navigation, and from speech recognition to CDMA mobile services. The book was published in Chinese in 2011 and has sold more than 600,000 copies. Readers were surprised to find that many daily-used IT technologies were so tightly tied to mathematical principles. For example, the automatic classification of news articles uses the cosine law taught in high school. The book covers many topics related to computer applications and applied mathematics including: Natural language processing Speech recognition and machine translation Statistical language modeling Quantitive measurement of information Graph theory and web crawler Pagerank for web search Matrix operation and document classification Mathematical background of big data Neural networks and Google’s deep learning Jun Wu was a staff research scientist in Google who invented Google’s Chinese, Japanese, and Korean Web Search Algorithms and was responsible for many Google machine learning projects. He wrote official blogs introducing Google technologies behind its products in very simple languages for Chinese Internet users from 2006-2010. The blogs had more than 2 million followers. Wu received PhD in computer science from Johns Hopkins University and has been working on speech recognition and natural language processing for more than 20 years. He was one of the earliest engineers of Google, managed many products of the company, and was awarded 19 US patents during his 10-year tenure there. Wu became a full-time VC investor and co-founded Amino Capital in Palo Alto in 2014 and is the author of eight books.