Introduction to integration provides a unified account of
integration theory, giving a practical guide to the Lebesgue
integral and its uses, with a wealth of illustrative examples and
exercises. The book begins with a simplified Lebesgue-style
integral (in lieu of the more traditional Riemann integral),
intended for a first course in integration. This suffices for
elementary applications, and serves as an introduction to the core
of the book. The final chapters present selected applications,
mostly drawn from Fourier analysis. The emphasis throughout is on
integrable functions rather than on measure. The book is designed
primarily as an undergraduate or introductory graduate textbook. It
is similar in style and level to Priestley's Introduction to
complex analysis, for which it provides a companion volume, and is
aimed at both pure and applied mathematicians. Prerequisites are
the rudiments of integral calculus and a first course in real
analysis.
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