This book treats all of the most commonly used theories of the
integral. After motivating the idea of integral, we devote a full
chapter to the Riemann integral and the next to the Lebesgue
integral. Another chapter compares and contrasts the two theories.
The concluding chapter offers brief introductions to the Henstock
integral, the Daniell integral, the Stieltjes integral, and other
commonly used integrals. The purpose of this book is to provide a
quick but accurate (and detailed) introduction to all aspects of
modern integration theory. It should be accessible to any student
who has had calculus and some exposure to upper division
mathematics. Table of Contents: Introduction / The Riemann Integral
/ The Lebesgue Integral / Comparison of the Riemann and Lebesgue
Integrals / Other Theories of the Integral
General
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