Elementary Differential Equations
Elementary Differential Equations (5th Edition) (Edwards, C. H. Elementary Differential Equations With Boundary Value Problems.)
C. Henry Edwards, David E. Penney,
Publisher: Prentice Hall
ISBN: 013145773X
Edition: Hardcover; 2003-10-30
Summary:
Maintaining a contemporary perspective, this strongly
algebraic-oriented text provides a concrete and readable text for the
traditional course in elementary differential equations that science,
engineering, and mathematics readers take following calculus. 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 readers. While it is neither
feasible nor desirable to include proofs of the fundamental existence
and uniqueness theorems along the way in an elementary course,
readers need to see precise and clear-cut statements of these
theorems, and understand their role in the subject. Appropriate
existence and uniqueness proofs in the Appendix are included, and
referred to where appropriate in the main body of the text.
Applications are highlighted throughout the text. These include: What
explains the commonly observed lag time between indoor and outdoor
daily temperature oscillations?; What makes the difference between
doomsday and extinction in alligator populations?; How do a unicycle
and a two-axle car react differently to road bumps?; Why are
flagpoles hollow instead of solid?; Why might an earthquake demolish
one building and leave standing the one next door?; How can you
predict the time of next perihelion passage of a newly observed
comet?; Why and when does non-linearity lead to chaos in biological
and mechanical systems?; What explains the difference in the sounds
of a guitar, a xylophone, and a drum? Includes almost 300
computer-generated graphics throughout the text. This text, with
enough material for 2 terms, provides a concrete and readable text
for the traditional course in elementary differential equations that
science, engineering, and mathematics readers take following
calculus.
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