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Books > Computing & IT > General theory of computing
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Handbook of Large-Scale Random Networks (Paperback, 2009 ed.)
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Handbook of Large-Scale Random Networks (Paperback, 2009 ed.)
Series: Bolyai Society Mathematical Studies, 18
Expected to ship within 10 - 15 working days
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With the advent of digital computers more than half a century ago,
- searchers working in a wide range of scienti?c disciplines have
obtained an extremely powerful tool to pursue deep understanding of
natural processes in physical, chemical, and biological systems.
Computers pose a great ch- lenge to mathematical sciences, as the
range of phenomena available for rigorous mathematical analysis has
been enormously expanded, demanding the development of a new
generation of mathematical tools. There is an explosive growth of
new mathematical disciplines to satisfy this demand, in particular
related to discrete mathematics. However, it can be argued that at
large mathematics is yet to provide the essential breakthrough to
meet the challenge. The required paradigm shift in our view should
be compa- ble to the shift in scienti?c thinking provided by the
Newtonian revolution over 300 years ago. Studies of large-scale
random graphs and networks are critical for the progress, using
methods of discrete mathematics, probabil- tic combinatorics, graph
theory, and statistical physics. Recent advances in large scale
random network studies are described in this handbook, which
provides a signi?cant update and extension - yond the materials
presented in the "Handbook of Graphs and Networks" published in
2003 by Wiley. The present volume puts special emphasis on
large-scale networks and random processes, which deemed as crucial
for - tureprogressinthe?eld.
Theissuesrelatedtorandomgraphsandnetworks pose very di?cult
mathematical questions.
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