2010-Chicone, C. - Mathematical Modeling and Chemical Kinetics. Notes
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2010-Chicone-MathModelingANDChemicalKinetics
Chicone, C. 2010. Mathematical Modeling and Chemical Kinetics. Notes. 14 pp.
Motivated by physical science motion laws the author moves into kinetics and life science applications of differential equations.
From early section we quote,
"The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. We should be grateful for it and hope that it will remain valid in future research and that it will extend, for better or for worse, to our pleasure, even though perhaps also to our bafflement, to wide branches of learning.
"What about the role of mathematics in the life sciences? We might go to a biology department at a university and ask the professors we find there if mathematics plays an essential role in their research. In the year 2009, the likely answer would be “no.” On the other hand, we could find some professors in some biology departments who would answer in the affirmative. There is a definite trend toward more mathematical thinking in the life sciences. Prestigious agencies like the National Science Foundation are investing substantial amounts of money to educate bright young university students about this trend with the hope that they will participate in the life science of the 21st century. The 20th century was the century of mechanics; it seems that the 21st century will be the century of life science."
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