Pulling Rabbits Out of Hats

Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences

By David J. Wollkind, Ph.D., Bonni Dichone, Ph.D.

CRC Press // ISBN 9781032047874

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About this textbook: 

This text focuses on those assumptions made during applied mathematical modeling in which the phenomenological data and the model predictions are self-consistent. This comprehensive reference demonstrates how to employ a variety of mathematical techniques to quantify a number of problems from the material, biophysical, fluid mechanical, and chemical sciences. In doing so, methodology of modelling, analysis, and result generation are all covered.

Key Features:

Includes examples on such cases as solidification of alloys, chemically-driven convection of dissociating gases, temperature-dependent predator-prey mite systems, multi-layer and two-phase fluid phenomena, viral-target cell interactions, diffusive and gravitational instabilities, and chemical, material science, optical, and ecological Turing patterns.

Aims to make the process of quantification of scientific phenomena transparent.

Is a hybrid semi-autobiographical account of research results and a monograph on pattern formation.

This book is for everyone with an interest in how both scientific contributions are made and mathematical modelling is developed from first principles in STEM fields.