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MATHEMATICAL MECHANICS (World Scientific Series on Nonlinear Science, Series A, Band 77) - Hardcover

Cooper, Ellis D.

 
9789814289702: MATHEMATICAL MECHANICS (World Scientific Series on Nonlinear Science, Series A, Band 77)
Hardcover
ISBN 10: 9814289701 ISBN 13: 9789814289702
Verlag: World Scientific, 2011

Inhaltsangabe

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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This unprecedented book offers all the details of the mathematical mechanics underlying state-of-the-art 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 modern mathematical technology Eilenberg-Mac Lane category theory, Robinson infinitesimal calculus and Kolmogorov probability theory to examine a succession of distinguishable universes of particles, and continuous, thermodynamic, chemical, and molecular bodies, all with a focus on proofs by algebraic calculation without set theory. Also provided are metaphors and analogies, and careful distinction between representational pictures, mental model drawings, and mathematical diagrams.

High school mathematics teachers, undergraduate 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 muscular mechanism of nearly all animal behavior.

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Verlag
World Scientific
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
9814289701
ISBN 13 
9789814289702
Einband
Gebundene Ausgabe
Anzahl der Seiten
392
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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