Do you see differential equations and think dreadful equations? This doesn't have to be. Notes on Diffy Qs is an engineer's guide to differential equations. The book is suited for engineering students taking their first course on “diffy Qs.”
Differential equations are the language of many sciences, including engineering. Therefore, they are very important to understanding the work that engineers do. Notes on Diffy Qs: Differential Equations for Engineers guides readers through this specialized type of mathematics. The textbook is intended for students with a background in calculus, as well as a trajectory of studying engineering.
First, the book maps out the best way for readers to follow the chapters and use the book. Then, it introduces what differential equations are, how to classify them, and why they are important. Next, Notes on Diffy Qs explains several types of ordinary differential equations, including first order, high order, and linear. Once students have a handle on these concepts, they will move on to systems of ordinary differential equations. The book also goes into partial differential equations and nonlinear systems, as well as other deeper topics. These include the power series method, the Laplace transform, and Eigenvalue problems.
Each chapter breaks down these topics into several lessons for students to digest. Plus, Notes on Diffy Qs offers multiple techniques for understanding and using differential equations. Throughout the textbook, there are lists, formulas, and visuals that illustrate the material. There are also plenty of exercises for students to try on their own. The answers to certain questions are at the end of the book, as well as suggestions for further reading and an index.
About the Author of Notes on Diffy Qs: Differential Equations for Engineers
Jirí Lebl is a mathematics professor at Oklahoma State University. He was previously an assistant professor at the University of Wisconsin. He earned his Ph.D. in mathematics from the University of California – San Diego in 2007. In his career as a mathematician, he has done extensive research on topics such as hyperquadratics, complex analysis, geometry, mapping hypersurfaces, and more. In addition to Notes on Diffy Qs, he has written several Basic Analysis books. His published work has been cited by professors and scholars across the country.