Mathematical Foundations of Computer Networking, by Keshav, Srinivasan
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- ISBN: 9780321792105 | 0321792106
- Cover: Paperback
- Copyright: 4/15/2012
Mathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability: Bayes'rule, random variables, distributions, expectations, theorems, and Bayesian networks * Statistics: sampling, population parameters, comparing outcomes, fitting, dependence, and managing large data sets * Linear Algebra: vectors, matrices, matrix algebra, linear equations, Cramers theorem, linear transformations, and more * Optimization: linear, non-linear, Lagrangian, and many other techniques, including genetic algorithms * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory: stochastic and Markov processes; Markov analysis, M/M/1 queues * Game Theory: preferences, utilities, terminologies, solution concepts, mechanism design * Control theory: system modeling, digital control, design techniques, and stability * Information theory: information, entropy, channels, and more