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"Distributed Computing Through Combinatorial Topology" describes techniques for analyzing distributed algorithms based on award winning combinatorial topology research. The authors present a solid theoretical foundation relevant to many real systems reliant on parallelism with unpredictable delays, such as multicore microprocessors, wireless networks, distributed systems, and Internet protocols. Today, a new student or researcher must assemble a collection of
scattered conference publications, which are typically terse and
commonly use different notations and terminologies. This book
provides a self-contained explanation of the mathematics to readers
with computer science backgrounds, as well as explaining computer
science concepts to readers with backgrounds in applied
mathematics. The first section presents mathematical notions and
models, including message passing and shared-memory systems,
failures, and timing models. The next section presents core
concepts in two chapters each: first, proving a simple result that
lends itself to examples and pictures that will build up readers'
intuition; then generalizing the concept to prove a more
sophisticated result. The overall result weaves together and
develops the basic concepts of the field, presenting them in a
gradual and intuitively appealing way. The book's final section
discusses advanced topics typically found in a graduate-level
course for those who wish to explore further.
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