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Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences

Theoretical Predictions Compared with Data

  • Textbook
  • © 2017

Overview

Authors:
  1. David J. Wollkind

    1. Department of Mathematics, Washington State University, Pullman, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Bonni J. Dichone

    1. Department of Mathematics, Gonzaga University, Spokane, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Provides an emphasis on the formulation and validation mappings of comprehensive applied mathematical modeling
  • Includes a concentration on the simplification procedures required to make prospective models
  • Can be used as a valuable textbook or reference

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxi
    Download chapter PDF

  2. Introduction

    • David J. Wollkind, Bonni J. Dichone
    Pages 1-5

  3. Chapters 2–8

    1. Front Matter

      Pages 7-7
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    2. Canonical Projectile Problem: Finding the Escape Velocity of the Earth

      • David J. Wollkind, Bonni J. Dichone
      Pages 9-29

    3. Of Mites and Models

      • David J. Wollkind, Bonni J. Dichone
      Pages 31-79

    4. Canonical Soap Film Problem

      • David J. Wollkind, Bonni J. Dichone
      Pages 81-98

    5. Heat Conduction in a Finite Bar with a Linear Source

      • David J. Wollkind, Bonni J. Dichone
      Pages 99-113

    6. Heat Conduction in a Semi-Infinite Bar

      • David J. Wollkind, Bonni J. Dichone
      Pages 115-143

    7. Initiation of Cellular Slime Mold Aggregation Viewed as an Instability

      • David J. Wollkind, Bonni J. Dichone
      Pages 145-166

    8. Chemical Turing Patterns and Diffusive Instabilities

      • David J. Wollkind, Bonni J. Dichone
      Pages 167-186

  4. Chapters 9–14

    1. Front Matter

      Pages 187-187
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    2. Governing Equations of Fluid Mechanics

      • David J. Wollkind, Bonni J. Dichone
      Pages 189-230

    3. Boundary Conditions for Fluid Mechanics

      • David J. Wollkind, Bonni J. Dichone
      Pages 231-249

    4. Subsonic Sound Waves Viewed as a Linear Perturbation in an Inviscid Fluid

      • David J. Wollkind, Bonni J. Dichone
      Pages 251-261

    5. Potential Flow Past a Circular Cylinder of a Homogeneous Inviscid Fluid

      • David J. Wollkind, Bonni J. Dichone
      Pages 263-301

    6. Viscous Fluid Flows

      • David J. Wollkind, Bonni J. Dichone
      Pages 303-327

    7. Blasius Flow Past a Flat Plate

      • David J. Wollkind, Bonni J. Dichone
      Pages 329-357

  5. Chapters 15–18

    1. Front Matter

      Pages 359-359
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    2. Rayleigh–Bénard Natural Convection Problem

      • David J. Wollkind, Bonni J. Dichone
      Pages 361-398

    3. Heat Conduction in a Finite Bar with a Nonlinear Source

      • David J. Wollkind, Bonni J. Dichone
      Pages 399-421
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Keywords

About this book

This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies.  The case studies are arranged in increasing order of complexity based on the mathematical methods required to analyze the models.  The development of these methods is also included, providing a self-contained presentation.  To reinforce and supplement the material introduced, original problem sets are offered involving case studies closely related to the ones presented.  With this style, the text’s perspective, scope, and completeness of the subject matter are considered unique.

Having grown out of four self-contained courses taught by the authors, this text will be of use in a two-semester sequence for advanced undergraduate and beginning graduate students, requiring rudimentary knowledge of advanced calculus and differential equations, along with a basic understanding of some simple physical and biological scientific principles. 

Reviews

“This ambitious textbook on mathematical modeling is intended for use as a text in a two-semester course for graduate students or advanced undergraduates. … Where the authors get into the details of mathematics and science, the exposition is smooth and the writing clear and direct … . Each chapter has an abundance of well-chosen exercises. The capstone problems are also appealing and suggest excellent end-of-term projects.” (Bill Satzer, MAA Reviews, October, 2018)

Authors and Affiliations

  • Department of Mathematics, Washington State University, Pullman, USA

    David J. Wollkind

  • Department of Mathematics, Gonzaga University, Spokane, USA

    Bonni J. Dichone

About the authors

Bonni Dichone is Assistant Professor of Mathematics at Gonzaga University, Spokane, WA, USA.

David Wollkind is Professor Emeritus of Applied Mathematics at Washington State University, Pullman, WA, USA.

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