Overview
- Uses natural situations to develop ideas relating to linear algebra
- or differential equations
- Uses an examples-oriented approach to develop an understanding of increasingly complex theorems
- Includes extensive visual and graphical aids to explain important ideas
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations.
Reviews
“The textbook Differential Equations: For Scientists and Engineers by Allan Struthers and Merle Potter is an excellent starting point for undergraduates with a background in multivariable calculus who want to take the next step in their mathematical education. … I am very happy to have been introduced to this excellent textbook. I plan to use it as an additional resource in the upcoming semester.” (Pratima Hebbar, Physics Today, July, 2020)
Authors and Affiliations
About the authors
Merle C. Potter received his Ph.D. from The University of Michigan and is Professor Emeritus of Mechanical Engineering at Michigan State University. He has co-authored textbooks based on teaching Thermodynamics, Fluid Mechanics, Applied Mathematics, and related subjects. Prof Potter’s research included the stability of various fluid flows, separated flow around bodies, and energy conservation studies. He has authored and coauthored 34 textbooks and exam review books.
Bibliographic Information
Book Title: Differential Equations
Book Subtitle: For Scientists and Engineers
Authors: Allan Struthers, Merle Potter
DOI: https://doi.org/10.1007/978-3-030-20506-5
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-20505-8Published: 19 August 2019
Softcover ISBN: 978-3-030-20508-9Published: 19 August 2020
eBook ISBN: 978-3-030-20506-5Published: 31 July 2019
Edition Number: 2
Number of Pages: XVII, 514
Number of Illustrations: 51 b/w illustrations, 2 illustrations in colour
Topics: Engineering Mathematics, Ordinary Differential Equations, Mathematical Methods in Physics