Mathematical Foundations of Computer Networking (Addison-Wesley Professional Computing Series)

Mathematical Foundations of Computer Networking (Addison-Wesley Professional Computing Series)


“To layout destiny networks which are worthwhile of society’s belief, we needs to positioned the ‘discipline’ of machine networking on a far more desirable starting place. This booklet rises above the enormous trivialities of today’s networking applied sciences to stress the long-standing mathematical underpinnings of the field.”

–Professor Jennifer Rexford, division of desktop technology, Princeton University

 

“This booklet is strictly the only i've been looking forward to the final couple of years. lately, i made a decision such a lot scholars have been already very conversant in the best way the web works yet weren't being taught the fundamentalsthe math. This ebook comprises the information for those who will create and comprehend destiny communications systems."

–Professor Jon Crowcroft, the pc Laboratory, college of Cambridge

 

The crucial Mathematical rules Required to layout, enforce, or evaluation complicated desktop Networks

 

Students, researchers, and pros in desktop networking require a company conceptual knowing of its foundations. Mathematical Foundations of machine Networking provides an intuitive but rigorous advent to those crucial mathematical rules and techniques.

 

Assuming a simple clutch of calculus, this publication bargains enough element to function the single reference many readers will want. every one suggestion is defined in 4 methods: intuitively; utilizing applicable mathematical notation; with a numerical instance conscientiously selected for its relevance to networking; and with a numerical workout for the reader.

 

The first a part of the textual content offers uncomplicated techniques, and the second one half introduces 4 theories in a development that has been designed to steadily deepen readers’ realizing. inside of every one half, chapters are as self-contained as attainable.

 

The first half covers likelihood; facts; linear algebra; optimization; and indications, platforms, and transforms. subject matters diversity from Bayesian networks to speculation checking out, and eigenvalue computation to Fourier transforms.

 

These initial chapters identify a foundation for the 4 theories lined within the moment a part of the e-book: queueing thought, video game idea, regulate conception, and data conception. the second one half additionally demonstrates how mathematical suggestions will be utilized to matters comparable to rivalry for constrained assets, and the optimization of community responsiveness, balance, and throughput.

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