
Elementary Differential Equations, 4/e
C. Henry Edwards, University of Georgia
David E. Penney
Published September, 1999 by Prentice Hall Engineering/Science/Mathematics
Copyright 2000, 601 pp.
Cloth
ISBN 0130112909

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Differential EquationsMathematics

For courses in differential equations.
This book provides a concrete and readable text for the traditional
course in elementary differential equations that science, engineering,
and mathematics students take following calculus. This is a strongly
algebraicoriented text with some computer enhancements for numerical
methods.
Matters of definition, classification, and logical structure
deserve (and receive here) careful attention for the first time in
the mathematical experience of many of the students. While it is neither
feasible nor desirable to include proofs of the fundamental existence
and uniqueness theorems along the way in an elementary course, students
need to see precise and clearcut statements of these theorems and
understand their role in the subject. Appropriate existence and uniqueness
proofs in the Appendix are included and referenced where appropriate
in the main body of the text.
NEW—Stongest collection of problem sets
available—Total is now 1600, of which 160 are new.
NEW—Applications are a highlight of this
text:
—What explains the commonly observed lag time between indoor and
outdoor daily temperature oscillations? (Section 1.5)
—What makes the difference between doomsday and extinction in
alligator populations? (Section 1.7)
—How do a unicycle and a twoaxle car react differently to road
bumps? (Sections 2.6 and 5.5)
—Why are flagpoles hollow instead of solid? (Section 3.6)
—Why might an earthquake demolish one building and leave standing
the one next door? (Section 5.5)
—How can you predict the time of next perihelion passage of a
newly observed comet? (Section 6.4)
—Why and when does nonlinearity lead to chaos in biological and
mechanical systems? (Section 7.6)
NEW—Almost 275 computergenerated graphics
throughout the text—Edwards/Penney is by far the most graphic
and visually oriented of the competing elementary DE textbooks.
 Students are shown vivid pictures of slope fields, solution
curves, and phase plane portraits that bring symbolic solutions of
differential equations to life.
NEW—Ten new student projects follow
key computational sections in the book.
 Add concrete applied emphasis and engage students in
more extensive investigations than afforded by typical exercises and
problems.
A solid numerical methods emphasis is provided where
appropriate—by the inclusion of generic numerical algorithms
and a limited number of illustrative calculator, BASIC, and MATLAB
routines.
A contemporary perspective—shaped by the availability
of computational aids—permits a more streamlined coverage of certain
standard topics (like exact equations and variation of parameters)
in Chapters 1, 2, and 5.
1. FirstOrder Differential Equations.
2. Linear Equations of Higher Order.
3. Power Series Methods.
4. Laplace Transform Methods.
5. Linear Systems of Differential Equations.
6. Numerical Methods.
7. Nonlinear Systems and Phenomena.
