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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.

New Format — Paperback

Our book is now available as a paperback. You can order the paperback with an immediate PDF download for $79US. You'll still get all the updates to the PDF for free for life.

If you only want the electronic copy, we still offer the PDF version by itself.

Buy your copy today.

cover of differential equations textbook by Kurt Bryan

ISBN 978-1-63877-937-7 | over 561 pages | in English

If you are purchasing the textbook for someone other than yourself, we strongly encourage you to purchase a product with a Download Code which allows that person to download the book themselves and receive download links for PDF updates by email.

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.
  • Low-cost price
  • Adobe PDF format with hyperlinks with new editions FREE for life
  • Paperback available to optimize learning
  • Proceeds sustain SIMIODE's non-profit mission
  • Another positive review in MAA  Publications

Book Preview and Sample Syllabus

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. View a Sample Syllabus implementing a modeling first approach with this textbook.

  • 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

Supplementary Materials

Current list of Errata.

For Everyone - hints, solutions, keys, and code for Maple, Mathematica, Matlab, and SAGE

Student Support Materials - Reading Exercise Keys and Selected Exercise Solutions

Instructor Support Material - Chapter Project Solutions, Instructor Solutions for All Exercises, Reading Exercises Keys, and Selected Student Solutions


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