| Dear
Subscriber,
We are pleased to introduce a new title that may interest
you. For a limited time, you can get your copy at a special
30% discount from our online bookstore. Enter discount code
as 30ANNIVERSARY as you order. This offer is valid from now
till 10 July, 2011. Please recommend this important title to your
library and colleagues or request
for an inspection copy.
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World
Scientific Series on Nonlinear Science, Series A - Vol. 77 ![]()
MATHEMATICAL MECHANICS
>From Particle to Muscle
by Ellis D Cooper (Retired teacher from Rockport High
School, USA)
392pp
978-981-4289-70-2: US$72 / £48 US$50.40
/ £33.60
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.
Contents:
- Introduction
- Ground & Foundation of Mathematics
- Calculus as an Algebra of Infinitesimals
- Algebra of Vectors
- Particle Universe
- Introduction to Timing Machinery
- Stochastic Timing Machinery
- Algebraic Thermodynamics
- Clausius, Gibbs & Duhem
- Experiments & Measurements
- Chemical Reaction
- Muscle Contraction
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