Mathematical Foundations of Computer Networking (Paperback)

Srinivasan Keshav

  • 出版商: Addison Wesley
  • 出版日期: 2012-04-15
  • 定價: $2,800
  • 售價: 8.0$2,240
  • 語言: 英文
  • 頁數: 496
  • 裝訂: Paperback
  • ISBN: 0321792106
  • ISBN-13: 9780321792105
  • 相關分類: Computer-networks
  • 立即出貨

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商品描述

“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 fundamentalsthe 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.

商品描述(中文翻譯)

「為了設計出值得社會信賴的未來網路,我們必須將計算機網路的『學科』建立在更堅實的基礎上。這本書超越了當今網路技術的細節,強調了該領域長期以來的數學基礎。」
- Jennifer Rexford 教授,普林斯頓大學計算機科學系

「這本書正是我過去幾年一直在等待的。最近,我決定大多數學生對網路運作方式已非常熟悉,但卻沒有被教授基礎的數學知識。這本書提供了未來通訊系統的創造者和理解者所需的知識。」
- Jon Crowcroft 教授,劍橋大學計算機實驗室

「設計、實施或評估先進的計算機網路所需的基本數學原理」
學生、研究人員和專業人士在計算機網路領域需要對其基礎有牢固的概念性理解。《計算機網路的數學基礎》提供了直觀而嚴謹的介紹這些基本數學原理和技巧。

假設讀者對微積分有基本的理解,本書提供足夠的細節,可作為許多讀者唯一需要的參考資料。每個概念以四種方式描述:直觀地、使用適當的數學符號、選擇與網路相關性高的數值例子,以及提供讀者的數值練習題。

本書的第一部分介紹基本概念,第二部分以逐漸深化讀者理解的方式介紹四個理論。在每個部分中,各章節盡可能獨立。

第一部分涵蓋概率、統計學、線性代數、最佳化以及信號、系統和轉換。主題範圍從貝葉斯網路到假設檢驗,從特徵值計算到傅立葉轉換。

這些初步章節為本書第二部分所涵蓋的四個理論奠定了基礎:排隊理論、博弈理論、控制理論和資訊理論。第二部分還展示了如何將數學概念應用於有限資源競爭、網路響應能力、穩定性和吞吐量的優化等問題。