Elementary Differential Equations presents the standard material in
a first course on differential equations, including all standard
methods which have been a part of the subject since the time of
Newton and the Bernoulli brothers. The emphasis in this book is on
theory and methods and differential equations as a part of
analysis. Differential equations is worth studying, rather than
merely some recipes to be used in physical science. The text gives
substantial emphasis to methods which are generally presented first
with theoretical considerations following. Essentially all proofs
of the theorems used are included, making the book more useful as a
reference. The book mentions the main computer algebra systems, yet
the emphasis is placed on MATLAB and numerical methods which
include graphing the solutions and obtaining tables of values.
Featured applications are easily understood. Complete explanations
of the mathematics and emphasis on methods for finding solutions
are included.
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