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© 2017

Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences

Theoretical Predictions Compared with Data

Benefits

  • 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

Textbook

Table of contents

  1. Front Matter
    Pages i-xxi
  2. David J. Wollkind, Bonni J. Dichone
    Pages 1-5
  3. Chapters 2–8

    1. Front Matter
      Pages 7-7
    2. David J. Wollkind, Bonni J. Dichone
      Pages 9-29
    3. David J. Wollkind, Bonni J. Dichone
      Pages 31-79
    4. David J. Wollkind, Bonni J. Dichone
      Pages 81-98
    5. David J. Wollkind, Bonni J. Dichone
      Pages 99-113
    6. David J. Wollkind, Bonni J. Dichone
      Pages 115-143
    7. David J. Wollkind, Bonni J. Dichone
      Pages 145-166
    8. David J. Wollkind, Bonni J. Dichone
      Pages 167-186
  4. Chapters 9–14

    1. Front Matter
      Pages 187-187
    2. David J. Wollkind, Bonni J. Dichone
      Pages 189-230
    3. David J. Wollkind, Bonni J. Dichone
      Pages 231-249
    4. David J. Wollkind, Bonni J. Dichone
      Pages 251-261
    5. David J. Wollkind, Bonni J. Dichone
      Pages 263-301
    6. David J. Wollkind, Bonni J. Dichone
      Pages 303-327
    7. David J. Wollkind, Bonni J. Dichone
      Pages 329-357
  5. Chapters 15–18

    1. Front Matter
      Pages 359-359
    2. David J. Wollkind, Bonni J. Dichone
      Pages 361-398
    3. David J. Wollkind, Bonni J. Dichone
      Pages 399-421

About this book

Introduction

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. 

Keywords

Mathematical Modeling Perturbation Techniques Stability Methods Calculus of Variations Pattern Formation Asymptotic Expansions Special Functions Continuum Mechanics

Authors and affiliations

  1. 1.Department of MathematicsWashington State UniversityPullmanUSA
  2. 2.Department of MathematicsGonzaga UniversitySpokaneUSA

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.

Bibliographic information

Industry Sectors
Finance, Business & Banking

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)