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Mathematical Foundations of Computer Networking (Paperback)
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Mathematical Foundations of Computer Networking (Paperback)
Series: Addison-Wesley Professional Computing Series
Expected to ship within 12 - 17 working days
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"To design future networks that are worthy of society's trust, we
must put the 'discipline' of computer networking on a much stronger
foundation. This book rises above the considerable minutiae of
today's networking technologies to emphasize the long-standing
mathematical underpinnings of the field." -Professor Jennifer
Rexford, Department of Computer Science, Princeton University "This
book is exactly the one I have been waiting for the last couple of
years. Recently, I decided most students were already very familiar
with the way the net works but were not being taught the
fundamentals-the math. This book contains the knowledge for people
who will create and understand future communications systems."
-Professor Jon Crowcroft, The Computer Laboratory, University of
Cambridge The Essential Mathematical Principles Required to Design,
Implement, or Evaluate Advanced Computer Networks Students,
researchers, and professionals in computer networking require a
firm conceptual understanding of its foundations. Mathematical
Foundations of Computer Networking provides an intuitive yet
rigorous introduction to these essential mathematical principles
and techniques. Assuming a basic grasp of calculus, this book
offers sufficient detail to serve as the only reference many
readers will need. Each concept is described in four ways:
intuitively; using appropriate mathematical notation; with a
numerical example carefully chosen for its relevance to networking;
and with a numerical exercise for the reader. The first part of the
text presents basic concepts, and the second part introduces four
theories in a progression that has been designed to gradually
deepen readers' understanding. Within each part, chapters are as
self-contained as possible. The first part covers probability;
statistics; linear algebra; optimization; and signals, systems, and
transforms. Topics range from Bayesian networks to hypothesis
testing, and eigenvalue computation to Fourier transforms. These
preliminary chapters establish a basis for the four theories
covered in the second part of the book: queueing theory, game
theory, control theory, and information theory. The second part
also demonstrates how mathematical concepts can be applied to
issues such as contention for limited resources, and the
optimization of network responsiveness, stability, and throughput.
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