Introduction to integration - H. A Priestley

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 tocomplex 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.