Mathematical mechanics : from particle to muscle /

Mathematical mechanics : from particle to muscle /

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Bibliographic Details
Author / Creator:	Cooper, Ellis D.
Imprint:	Singapore ; Hackensack, NJ : World Scientific, ©2011.
Description:	1 online resource (xv, 373 pages) : illustrations (some color).
Language:	English
Series:	World Scientific series on nonlinear science. Series A ; v. 77 World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 77.
Subject:	Mechanics, Analytic. Dynamics of a particle -- Mathematical models. Muscle contraction -- Mathematical models. Mathematical physics. Mathematical physics. Mechanics, Analytic. Muscle contraction -- Mathematical models. Electronic book.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11279004

Hidden Bibliographic Details
ISBN:	9789814289719 981428971X 9789814289702 9814289701 1283234610 9781283234610 9786613234612 6613234613
Notes:	Includes bibliographical references (pages 353-362) and index. English. Print version record.
Summary:	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.
Other form:	Print version: Cooper, Ellis D. Mathematical mechanics. Singapore ; Hackensack, NJ : World Scientific, ©2011 9789814289702

Description
Summary:	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.
Physical Description:	1 online resource (xv, 373 pages) : illustrations (some color).
Bibliography:	Includes bibliographical references (pages 353-362) and index.
ISBN:	9789814289719 981428971X 9789814289702 9814289701 1283234610 9781283234610 9786613234612 6613234613