eBook - ePub
Pulling Rabbits Out of Hats
Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences
- 538 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Pulling Rabbits Out of Hats
Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences
About this book
Pulling Rabbits Out of Hats: Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences 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.
For errata, please visit the author's website.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Pulling Rabbits Out of Hats by David Wollkind,Bonni J. Dichone in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Half Title
- Series Page
- Title Page
- Copyright Page
- Dedication
- Contents
- Foreword
- Preface
- Acknowledgements
- 1 Introduction
- 2 Solidification and Melting of Dilute Binary Alloys: Longitudinal and Hexagonal Planform Nonlinear Stability Analyses
- 3 Chemically Driven Convection of Dissociating Gases: Longitudinal Planform Nonlinear Stability Analysis
- 4 Temperature-Dependent Predator-Prey Mite Interaction on Apple Tree Foliage: Dynamical Systems Analysis
- 5 Multi-Layer Fluid Phenomena: Rayleigh-Bénard-Marangoni Convection and Kelvin-Helmholtz Rock Folding: Linear Stability Analyses
- 6 Two-Phase Fluid Flow of Aerosols and Convection in Planetary Atmospheres: Longitudinal Planform Nonlinear Stability Analyses
- 7 Chemical Turing Patterns and Diffusive Instabilities: Hexagonal Planform Nonlinear Stability Analysis
- 8 Evolution Equation Phenomenon I: Lubrication Theory of Liquids: Hexagonal Planform Nonlinear Stability Analysis
- 9 Evolution Equation Phenomenon II: Ion-Sputtering of Solids: Hexagonal and Rhombic Planform Nonlinear Stability Analyses
- 10 Evolution Equation Phenomenon III: Nonlinear Optical Pattern Formation: Hexagonal and Rhombic Planform Nonlinear Stability Analyses
- 11 Evolution Equation Phenomenon IV: Nonlinear Vegetative Pattern Formation: Hexagonal and Rhombic Planform Nonlinear Stability Analyses
- 12 Diffusive Versus Differential Flow Instabilities I: Dryland Turing Pattern Formation: Hexagonal and Square Planform Nonlinear Stability Analyses
- 13 Diffusive Versus Differential Flow Instabilities II: Mussel Bed Turing Pattern Formation: Hexagonal and Rhombic Planform Nonlinear Stability Analyses
- 14 Root Suction Driven Vegetative Rhombic Pattern Formation: Rhombic Planform Nonlinear Stability Analysis
- 15 Subcritical Behavior of a Model Interaction-Dispersion Equation: Longitudinal Planform Nonlinear Stability Analysis
- 16 Non-Cytopathic Viral-Target Cell Dynamical System Interaction: Dynamical Systems Analysis
- 17 Jeans' Criterion for Gravitational Instabilities with Uniform Rotation: Linear Stability Analysis
- 18 Conclusions
- Bibliography
- Index