Distributed Computing Through Combinatorial Topology 1st Edition by Maurice Herlihy (PDF)

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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.

User’s Reviews

Editorial Reviews: Review “…very well-written. All the figures, examples, and illustrations serve nicely to explain various concepts…mathematicians and computer scientists both would equally benefit from this book…a new researcher in this area would find this book very helpful” –SIGACT News”…the first systematic exposition of an approach to distributed computing based on tools of combinatorial topology…a valuable addition to the existing literature, it will be appreciated by many different categories of readers including university students and researchers in computers science as well as topologists interested in practical applications.” –Zentralblatt MATH”This outstanding book…explores the connections between distributed computation and topology in detail…systematically organizes material that previously was only available across a collection of conference and journal publications with inconsistent notations and terminology…” –Computing Reviews”…there has not been a monograph that comprehensively covers the intersection of topology and distributed computing…This book thus finds its place for filling precisely this niche, and will be welcomed by readers…” –Computing Reviews, July 24 2014″In Distributed Computing, the modern mathematical field of Combinatorial Topology finally finds a natural application space. This book elucidates this intriguing connection through a series of well thought out examples, making complex computational phenomena and the deep theorems seem intuitive even to the beginner. I highly recommend it to anyone who is interested in the fundamentals of computing, since asynchrony, the key phenomena this book explains, is bound to dominate computation and communication in years to come.” –Prof. Nir Shavit, Professor of Computer Science, Massachusetts Institute of Technology, Cambridge, MA”Written by the leading experts in this area, this book is a unique endeavor covering the exciting topic of understanding distributed computing through topology. The book will appeal to researchers in distributed computing and to mathematicians.” –Prof. Hagit Attiya, Professor of Computer Science, Technion – Israel Institute of Technology”This book is a major contribution to distributed computing, integrated with algebraic topology. Based on the seminal work of the authors, it represents a collection of the most up-to-date results in the field, presented in a very progressive manner, from intuitions to detailed proofs and connections to fundamental mathematical concepts.” –Éric Goubault, cea list and École Polytechnique Review Award-winning techniques to analyze distributed algorithms, with applications across a range of today’s top computing fields From the Back Cover Distributed Computing Through Combinatorial Topology describes techniques for analyzing distributed algorithms for real systems reliant on parallelism with unpredictable delays, such as multicore microprocessors, wireless networks, distributed systems, and Internet protocols. The book offers 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. Each concept is presented in two ways: first, proving a simple result that lends itself to examples to build up intuition; then generalizing the concept to prove a more sophisticated result. The overall result weaves together and develops the basic concepts of the field in a gradual and intuitively appealing way. The authors share mathematical notions and models for message-passing and shared-memory systems, based on award-winning combinatorial topology research. About the Author Maurice Herlihy received an A.B. in Mathematics from Harvard University, and a Ph.D. in Computer Science from M.I.T. He has served on the faculty of Carnegie Mellon University, on the staff of DEC Cambridge Research Lab, and is currently a Professor in the Computer Science Department at Brown University. Dr. Herlihy is an ACM Fellow, and is the recipient of the 2003 Dijkstra Prize in Distributed Computing. He shared the 2004 Gödel Prize with Nir Shavit, with whom he also shared the 2012 Edsger W. Dijkstra Prize In Distributed Computing.Prof. Dmitry Kozlov is recipient of the Wallenberg Prize of the Swedish Mathematics Society (2003), the Gustafsson Prize of the Goran Gustafsson Foundation (2004), and the European Prize in Combinatorics (2005). He has been a Senior Lecturer at the Royal Institute of Technology, Stockholm, and an Assistant Professor at ETH Zurich. Currently he holds the Chair of Algebra and Geometry at the University of Bremen, Germany. He is the author of the book Combinatorial Algebraic Topology published by Springer Verlag in 2008.Prof. Sergio Rajsbaum is a member of the Institute of Mathematics at UNAM, where he is now a Full Professor. He has spent postdoctoral and sabbatical stays at the Massachusetts Institute of Technology and HP Research Labs. His main research interests are in the theory of distributed computing, and has about 100 publications in prestigious conferences and journals, and has been Program Committee member, and Program Chair of main forums in the area, such as the ACM Principles of Distributed Computing. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐An exciting new approach to fundamental problems of distributed computing, that makes you want to collar a colleague and cry out “This is so cool!”Herlihy shows that you can map the state of nodes in a distributed computation to points in a simplicial complex (a generalization of graphs to higher dimensions). The steps of a message protocol between nodes can then be seen as continuous transformations of the complex (as nodes change state based on the information in the messages). This means that you can apply well-known results from combinatorial topology to see that “you can’t get there from here” — reaching the goal state of the computation requires tearing the surface (or healing a hike in the surface).From this formulation, some fundamental distributed computing problems (e.g., reaching consensus) just “fall out”.

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