A newer edition (version 5, ISBN 1541329058) of this book is available. This is an older version 4. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. The book originated as class notes for Math 286 at the University of Illinois at Urbana-Champaign in the Fall 2008 and Spring 2009 semesters. It has since been successfully used in many university classrooms as the main textbook. See http://www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.
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Jiri Lebl is an Assistant Professor in the Department of Mathematics at the Oklahoma State University. Jiri has taught mathematics at all levels for over a decade now, at several other institutions as well: San Diego State University, University of California at San Diego, University of Illinois at Urbana-Champaign, and University of Wisconsin-Madison. He has published over 20 peer reviewed scientific papers, mostly focused on complex analysis in several variables. Before jumping fully into mathematics, he was involved in programming and free software, in particular the GNOME desktop project, and wrote several programming tutorials.
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