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Differential Equations:

A Toolbox for Modeling the World

We now offer this revolutionary modeling-first based textbook in HTML format with SAGE code at same low price - $39US. Purchasers of pdf or paperback copy will receive HTML version FREE. Please purchase your First Edition pdf copy and then use these instructions to obtain your FREE Second Edition HTML copy. See sample Chapter One, Appendices, and Bibliography. NOTE: Paperback or pdf+paperback bundle are no longer available.

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Jump to Supplementary Materials and Errata.

Our 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.

SIMIODE is a Non-Profit

While the materials provided on our website are completely free of charge and provided under Creative Commons licensing, the textbook itself is copyrighted by the author and is not free to share. The author has graciously provided proceeds of the book to help fund SIMIODE activities. Please respect the copyright and ask your friends and colleagues to purchase their own copy.

Our textbook is also available through RedShelf and BUKU.

Buy your copy today. Select ONLY pdf copy and once purchased use these instructions to obtain your FREE Second Edition HTML copy. We no longer sell a paperback version or a bundled version.

cover of differential equations textbook by Kurt Bryan

First Edition pdf version ISBN 978-1-63877-937-7.

Second Edition HTML version ISBN: 979-8-89372-019-8.

If you are purchasing the textbook for someone other than yourself, we strongly encourage you to purchase a product with a Download Code which provides you a code to give to another person. That person will enter the code during checkout which allows them to download their own copy of the textbook (with no further payment needed) and receive updates to the PDF for life.

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.

From the Review Editor, Emily J. Olson, of the June/July 2024 issue of Notices of the AMS we read, "When I consider adopting a textbook, I look for readable prose, extensive examples, and exercises at a wide range of levels. The differential equations textbook from SIMIODE hits the mark for me." Further, "I found this book to contain many desirable attributes: its low cost compared to other textbooks, availability in both paperback and pdf versions, and online resources accessible to students and instructors. If you want to refresh your undergraduate differential equations course and focus on modeling, this is a great book to consider."

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.

Features:
  • Low price - VERY low price
  • 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
  • Code for MatLab, Maple, Mathematics, and SAGE
  • 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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