
A Modern Introduction to Differential Equations
Henry J. Ricardo(Author)
Academic Press
3rd Edition
Published on 1. June 2020
Book
Paperback/Softback
556 pages
978-0-12-818217-8 (ISBN)
Description
A Modern Introduction to Differential Equations, Third Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical and numerical aspects of first-order equations, including slope fields and phase lines. The comprehensive resource then covers methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients, systems of linear differential equations, the Laplace transform and its applications to the solution of differential equations and systems of differential equations, and systems of nonlinear equations.
Throughout the text, valuable pedagogical features support learning and teaching. Each chapter concludes with a summary of important concepts, and figures and tables are provided to help students visualize or summarize concepts. The book also includes examples and updated exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering.
Throughout the text, valuable pedagogical features support learning and teaching. Each chapter concludes with a summary of important concepts, and figures and tables are provided to help students visualize or summarize concepts. The book also includes examples and updated exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering.
Reviews / Votes
"The structure of the book has not changed significantly since the first edition. The new material includes an expanded treatment of bifurcations, for first-order equations and then more broadly for linear and nonlinear systems. The author has also added an optional section on limit cycles and the Hopf bifurcation. There is a particularly good application example here with the Van der Pol oscillator. This edition also includes a longer section on the Hartman-Grobman theorem (called the Lyapunov-Poincare theorem in the previous edition) with some good examples. As with many books at this level, a background in linear algebra is not assumed. When I have taught a course like this (usually with many engineering students who never take a linear algebra course), I found incorporating linear algebra in this context awkward and difficult to integrate smoothly. Here the author handles that relatively gracefully. One notable feature of the book is that it provides essentially no discussion of supporting software. The author assumes that students have access to a computer algebra system and possibly some specialized software for graphing and numerical approximation. Otherwise, he offers no software instruction and says that students should follow their instructor's direction. This works, more or less, because the text shows detailed results of calculations and presents plenty of graphs of phase portraits, solution curves, and the like. This is an attractive book, designed for readability and well suited for an introductory course. It has a broad collection of worked-out examples and exercises that span application areas in biology, chemistry and economics as well as physics and engineering." --MAA ReviewsMore details
Edition
3rd edition
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
College/higher education
Upper level undergraduate & graduate students from a variety of majors, taking courses that include Differential Equations
Dimensions
Height: 235 mm
Width: 191 mm
ISBN-13
978-0-12-818217-8 (9780128182178)
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
Previous edition

Henry J. Ricardo
A Modern Introduction to Differential Equations
Book
04/2009
2nd Edition
Academic Press
€151.91
Article exhausted; check for reprint
Person
Henry J. Ricardo works at Medgar Evers College of the City University of New York in Brooklyn, USA.
Content
1. Introduction to Differential Equations 2. First-Order Differential Equations 3. The Numerical Approximation of Solutions 4. Second- and Higher-Order Equations 5. The Laplace Transform 6. Systems of Linear Differential Equations 7. Systems of Nonlinear Differential Equations