Mathematical Mechanics

From Particle To Muscle

Ellis D Cooper (Retired Teacher From Rockport High School, Ma, Usa)

$129.99

Hardback

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English

World Scientific Publishing Co Pte Ltd
07 April 2011

Maths for scientists; Biology, life sciences

Series: World Scientific Series on Nonlinear Science Series A

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.

By: Ellis D Cooper (Retired Teacher From Rockport High School Ma Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 77
Dimensions: Height: 231mm, Width: 155mm, Spine: 23mm
Weight: 748g
ISBN: 9789814289702
ISBN 10: 9814289701
Series: World Scientific Series on Nonlinear Science Series A
Pages: 392
Publication Date: 07 April 2011
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

Philosophy: The Principle of Least Thought; Mathematics: Infinitesimals, Vectors and Tensors, Probability; Physics: Particles, Continua and Their Thermodynamic Interactions; Chemistry: Reactions in Fluids; Biology: Skeletal Muscle Molecular Motors.