This concise text for a one-semester course for upper-level undergraduates
and beginning graduate students in engineering, science, and mathematics
can also serve as a quick reference for professionals. The major topics
in ordinary differential equations, initial value problems, boundary value
problems, and delay differential equations, are usually taught in three
separate semester-long courses. This single book provides a sound treatment
of all three in fewer than 300 pages. Each chapter begins with a discussion
of the 'facts of life' for the problem, mainly by means of examples.
Numerical methods for the problem are then developed, but only those
methods most widely used. The treatment of each method is brief and
technical issues are minimized, but all the issues important in practice
and for understanding the codes are discussed. The last part of each
chapter is a tutorial that shows how to solve problems by means of small,
but realistic, examples.

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