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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Extended Abstracts Summer 2015 - Strategic Behavior in Combinatorial Structures; Quantitative Finance (Paperback, 1st ed. 2017)
Loot Price: R3,806
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Extended Abstracts Summer 2015 - Strategic Behavior in Combinatorial Structures; Quantitative Finance (Paperback, 1st ed. 2017)
Series: Research Perspectives CRM Barcelona, 6
Expected to ship within 10 - 15 working days
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This book is divided into two parts, the first of which seeks to
connect the phase transitions of various disciplines, including
game theory, and to explore the synergies between statistical
physics and combinatorics. Phase Transitions has been an active
multidisciplinary field of research, bringing together physicists,
computer scientists and mathematicians. The main research theme
explores how atomic agents that act locally and microscopically
lead to discontinuous macroscopic changes. Adopting this
perspective has proven to be especially useful in studying the
evolution of random and usually complex or large combinatorial
objects (like networks or logic formulas) with respect to
discontinuous changes in global parameters like connectivity,
satisfiability etc. There is, of course, an obvious strategic
element in the formation of a transition: the atomic agents
"selfishly" seek to optimize a local parameter. However, up to now
this game-theoretic aspect of abrupt, locally triggered changes had
not been extensively studied. In turn, the book's second part is
devoted to mathematical and computational methods applied to the
pricing of financial contracts and the measurement of financial
risks. The tools and techniques used to tackle these problems cover
a wide spectrum of fields, like stochastic calculus, numerical
analysis, partial differential equations, statistics and
econometrics. Quantitative Finance is a highly active field of
research and is increasingly attracting the interest of academics
and practitioners alike. The material presented addresses a wide
variety of new challenges for this audience.
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