Differential Equations: A Toolbox for Modeling the World

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Our new SIMIODE digital textbook is authored by the distinguished teacher and writer, Dr. Kurt Bryan, Rose-Hulman Institute of Technology, Terre Haute IN USA.

This text is designed for a first-course in differential equations for undergraduate mathematics, engineering, and science majors, and is suitable as a stand-alone textbook. It is a first of a kind text using a modeling first and throughout approach to motivate and teach differential equations.


ISBN 978-1-63877-937-7 | over 450 pages | in English

This book is the only one this reviewer is aware of that presents differential equations in a modeling context rather than merely adding a bit of modeling to the standard presentation. If you want to study the mathematics of differential equations in a modeling context, you are in the right place.

Dr. Glenn Ledder, University of Nebraska, review in The UMAP Journal, See Complete Review.
  • Low-cost price of $39 US
  • 595 pages packed with modeling motivated mathematics
  • Over 400 additional pages of solutions, hints, project ideas
  • Adobe PDF format with hyperlinks
  • Receive new editions FREE for life
  • Proceeds sustain SIMIODE Community of Practice

Have a look at the Table of Contents and Chapter 1 to see a sample of the modeling first approach, scope of topics, and how this will help your teaching and enhance your students' learning and understanding.

  • Modeling first approach throughout
  • Links to many SIMIODE Modeling Scenarios and other sources
  • Fresh narrative on the rationale for studying differential equations
  • Practice problems and questions, many with solutions
  • Projects in each section
  • Modeling threads through the text
  • Extra sections and appendices, e.g., control theory, linear algebra, circuits

icon for student group Students - Once you purchase our text we invite you to join our SIMIODE Textbook - Student Group where you will find discussion boards, answers, hints, solutions, data sets, collaboration tools, and additional resources.


icon for student group Instructors - Once you purchase our text we invite you to join our SIMIODE Textbook - Teacher Group to access instructor resources and discussion groups specifically designed for instructors.