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, Volume 1
Mathematical Principles of the Internet, Volume 1

Author: Nirdosh Bhatnagar

Publisher: CRC Press

Published: 2018-11-20

Total Pages: 957

ISBN-13: 1351379143

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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.

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.

Introduction to Wavelet Transforms
Introduction to Wavelet Transforms

Author: Nirdosh Bhatnagar

Publisher: CRC Press

Published: 2020-02-18

Total Pages: 360

ISBN-13: 1000768694

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The textbook, Introduction to Wavelet Transforms provides basics of wavelet transforms in a self-contained manner. Applications of wavelet transform theory permeate our daily lives. Therefore it is imperative to have a strong foundation for this subject. Features No prior knowledge of the subject is assumed. Sufficient mathematical background is provided to complete the discussion of different topics. Different topics have been properly segmented for easy learning. This makes the textbook pedagogical and unique. Notation is generally introduced in the definitions. Relatively easy consequences of the definitions are listed as observations, and important results are stated as theorems. Examples are provided for clarity and to enhance reader's understanding of the subject. Each chapter also has a problem section. A majority of the problems are provided with sufficient hints. The textbook can be used either in an upper-level undergraduate or first-year graduate class in electrical engineering, or computer science, or applied mathematics. It can also be used by professionals and researchers in the field who would like a quick review of the basics of the subject. About the Author: Nirdosh Bhatnagar works in both academia and industry in Silicon Valley, California. He is also the author of a comprehensive two-volume work: Mathematical Principles of the Internet, published by the CRC Press in the year 2019. Nirdosh earned M.S. in Operations Research, and M.S. and Ph.D. in electrical engineering, all from Stanford University, Stanford, California. .

Directory of Distance Learning Opportunities
Directory of Distance Learning Opportunities

Author: Modoc Press, Inc.

Publisher: Bloomsbury Publishing USA

Published: 2003-02-28

Total Pages: 312

ISBN-13: 0313017271

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This book provides an overview of current K-12 courses and programs offered in the United States as correspondence study, or via such electronic delivery systems as satellite, cable, or the Internet. The Directory includes over 6,000 courses offered by 154 institutions or distance learning consortium members. Following an introduction that describes existing practices and delivery methods, the Directory offers three indexes: • Subject Index of Courses Offered, by Level • Course Level Index • Geographic Index All information was supplied by the institutions. Entries include current contact information, a description of the institution and the courses offered, grade level and admission information, tuition and fee information, enrollment periods, delivery information, equipment requirements, credit and grading information, library services, and accreditation.

Principles to Actions
Principles to Actions

Author: National Council of Teachers of Mathematics

Publisher: National Council of Teachers of Mathematics, Incorporated

Published: 2014-02

Total Pages: 139

ISBN-13: 9780873537742

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This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Performance Models and Risk Management in Communications Systems
Performance Models and Risk Management in Communications Systems

Author: Nalân Gülpınar

Publisher: Springer Science & Business Media

Published: 2010-11-02

Total Pages: 262

ISBN-13: 1441905340

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This volume covers recent developments in the design, operation, and management of mobile telecommunication and computer systems. Uncertainty regarding loading and system parameters leads to challenging optimization and robustness issues. Stochastic modeling combined with optimization theory ensures the optimum end-to-end performance of telecommunication or computer network systems. In view of the diverse design options possible, supporting models have many adjustable parameters and choosing the best set for a particular performance objective is delicate and time-consuming. An optimization based approach determines the optimal possible allocation for these parameters. Researchers and graduate students working at the interface of telecommunications and operations research will benefit from this book. Due to the practical approach, this book will also serve as a reference tool for scientists and engineers in telecommunication and computer networks who depend upon optimization.

Engineering Mathematics
Engineering Mathematics

Author: John Bird

Publisher: Routledge

Published: 2010-09-08

Total Pages: 650

ISBN-13: 1136406409

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First published in 2010, Engineering Mathematics is a valuable contribution to the field of Further Education.