A Course in Ordinary Differential Equations
2nd Edition
Published on 14. October 2024
Book
Paperback/Softback
808 pages
978-1-032-91749-8 (ISBN)
Description
A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded for its extensive computer code and student-friendly approach, the first edition of this popular textbook was the first on ordinary differential equations (ODEs) to include instructions on using MATLAB (R), Mathematica (R), and Maple (TM). This second edition reflects the feedback of students and professors who used the first edition in the classroom.
New to the Second Edition
Moves the computer codes to Computer Labs at the end of each chapter, which gives professors flexibility in using the technology
Covers linear systems in their entirety before addressing applications to nonlinear systems
Incorporates the latest versions of MATLAB, Maple, and Mathematica
Includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization
Highlights new applications and modeling in many fields
Presents exercise sets that progress in difficulty
Contains color graphs to help students better understand crucial concepts in ODEs
Provides updated and expanded projects in each chapter
Suitable for a first undergraduate course, the book includes all the basics necessary to prepare students for their future studies in mathematics, engineering, and the sciences. It presents the syntax from MATLAB, Maple, and Mathematica to give students a better grasp of the theory and gain more insight into real-world problems. Along with covering traditional topics, the text describes a number of modern topics, such as direction fields, phase lines, the Runge-Kutta method, and epidemiological and ecological models. It also explains concepts from linear algebra so that students acquire a thorough understanding of differential equations.
New to the Second Edition
Moves the computer codes to Computer Labs at the end of each chapter, which gives professors flexibility in using the technology
Covers linear systems in their entirety before addressing applications to nonlinear systems
Incorporates the latest versions of MATLAB, Maple, and Mathematica
Includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization
Highlights new applications and modeling in many fields
Presents exercise sets that progress in difficulty
Contains color graphs to help students better understand crucial concepts in ODEs
Provides updated and expanded projects in each chapter
Suitable for a first undergraduate course, the book includes all the basics necessary to prepare students for their future studies in mathematics, engineering, and the sciences. It presents the syntax from MATLAB, Maple, and Mathematica to give students a better grasp of the theory and gain more insight into real-world problems. Along with covering traditional topics, the text describes a number of modern topics, such as direction fields, phase lines, the Runge-Kutta method, and epidemiological and ecological models. It also explains concepts from linear algebra so that students acquire a thorough understanding of differential equations.
Reviews / Votes
Praise for the First Edition:"A Course in Ordinary Differential Equations deserves to be on the MAA's Basic Library List ... the book with its layout, is very student friendly-it is easy to read and understand; every chapter and explanations flow smoothly and coherently ... the reviewer would recommend this book highly for undergraduate introductory differential equation courses."-Srabasti Dutta, College of Saint Elizabeth, MAA Online, July 2008
"An important feature is that the exposition is richly accompanied by computer algebra code (equally distributed between MATLAB, Mathematica, and Maple). The major part of the book is devoted to classical theory (both for systems and higher order equations). The necessary material from linear algebra is also covered. More advanced topics include numerical methods, stability of equilibria, bifurcations, Laplace transforms, and the power series method."
-EMS Newsletter, June 2007
"This is a delightful textbook for a standard one-semester undergraduate course in ordinary differential equations designed for students who had one year of calculus and continue their studies in engineering and mathematics. The main idea is to focus on the applications and methods of solutions, both analytical and numerical, with special attention paid to applications to real-world problems in engineering, physics, population dynamics, epidemiology, etc. A winning feature of the book is the extensive use of computer algebra codes throughout the text. Assuming that the students have no previous experience with Maple, MATLAB, or Mathematica, the authors present the relevant syntax and theory for all three programs. This helps students to understand better the theoretical material, use computer support more sensibly, and interpret results of computer simulation properly. Some background material from linear algebra is also provided throughout the text whenever necessary. ... The book is nicely written, generously illustrated, and well structured. There are plenty of exercises ranging from drilling to challenging. Additional problems for revision and projects are collected at the end of each chapter. ... An excellent blend of analytical and technical tools for studying ordinary differential equations, this text is a welcome addition to existing literature and is warmly recommended as essential reading for a first undergraduate course in differential equations."
-Zentralblatt MATH 1931
More details
Edition
2nd edition
Language
English
Place of publication
Boca Raton
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Postgraduate
Illustrations
180 farbige Abbildungen
180 Illustrations, color
Dimensions
Height: 234 mm
Width: 156 mm
Weight
453 gr
ISBN-13
978-1-032-91749-8 (9781032917498)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Stephen A. Wirkus | Randall J. Swift
A Course in Ordinary Differential Equations
Book
12/2014
2nd Edition
CRC Press
€229.60
Shipment within 15-20 days
Stephen A. Wirkus | Randall J. Swift
A Course in Ordinary Differential Equations
E-Book
12/2014
2nd Edition
Chapman & Hall/CRC
€97.49
Available for download
Stephen A. Wirkus | Randall J. Swift
A Course in Ordinary Differential Equations
E-Book
12/2014
2nd Edition
Chapman and Hall
€97.49
Available for download
Persons
Stephen A. Wirkus is an associate professor of mathematics at Arizona State University, where he has been a recipient of the Professor of the Year Award and NSF AGEP Mentor of the Year Award. He has published over 30 papers and technical reports. He completed his Ph.D. at Cornell University under the direction of Richard Rand.
Randall J. Swift is a professor of mathematics and statistics at California State Polytechnic University, Pomona, where he has been a recipient of the Ralph W. Ames Distinguished Research Award. He has authored more than 80 journal articles, three research monographs, and three textbooks. He completed his Ph.D. at the University of California, Riverside under the direction of M.M. Rao.
Randall J. Swift is a professor of mathematics and statistics at California State Polytechnic University, Pomona, where he has been a recipient of the Ralph W. Ames Distinguished Research Award. He has authored more than 80 journal articles, three research monographs, and three textbooks. He completed his Ph.D. at the University of California, Riverside under the direction of M.M. Rao.
Content
Traditional First-Order Differential Equations. Geometrical and Numerical Methods for First-Order Equations. Elements of Higher-Order Linear Equations. Techniques of Nonhomogeneous Higher-Order Linear Equations. Fundamentals of Systems of Differential Equations. Laplace Transforms. Series Methods. Appendices. Answers. References. Index.