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Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences (Hardcover)
Loot Price: R2,369
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Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences (Hardcover)
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Analysis, modeling, and simulation for better understanding of
diverse complex natural and social phenomena often require powerful
tools and analytical methods. Tractable approaches, however, can be
developed with mathematics beyond the common toolbox. This book
presents the white noise stochastic calculus, originated by T Hida,
as a novel and powerful tool in investigating physical and social
systems. The calculus, when combined with Feynman's
summation-over-all-histories, has opened new avenues for resolving
cross-disciplinary problems. Applications to real-world complex
phenomena are further enhanced by parametrizing non-Markovian
evolution of a system with various types of memory functions. This
book presents general methods and applications to problems
encountered in complex systems, scaling in industry, neuroscience,
polymer physics, biophysics, time series analysis, relativistic and
nonrelativistic quantum systems.
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