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Mathematical Mechanics: From Particle To Muscle (Hardcover)
Loot Price: R2,000
Discovery Miles 20 000
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Mathematical Mechanics: From Particle To Muscle (Hardcover)
Series: World Scientific Series on Nonlinear Science Series A, 77
Expected to ship within 10 - 15 working days
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This unprecedented book offers all the details of the mathematical
mechanics underlying modern modeling of skeletal muscle
contraction. The aim is to provide an integrated vision of
mathematics, physics, chemistry and biology for this one
understanding. The method is to take advantage of latest
mathematical technologies -- Eilenberg-Mac Lane category theory,
Robinson infinitesimal calculus and Kolmogorov probability theory
-- to explicate Particle Mechanics, The Theory of Substances
(categorical thermodynamics), and computer simulation using a
diagram-based parallel programming language (stochastic timing
machinery). Proofs rely almost entirely on algebraic calculations
without set theory. Metaphors and analogies, and distinctions
between representational pictures, mental model drawings, and
mathematical diagrams are offered. AP level high school calculus
students, high school science teachers, undergraduates and graduate
college students, and researchers in mathematics, physics,
chemistry, and biology may use this integrated publication to
broaden their perspective on science, and to experience the
precision that mathematical mechanics brings to understanding the
molecular mechanism vital for nearly all animal behavior.
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