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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.
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.
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.
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.
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 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.
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.
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