The Lebesgue Integral [Paperback]

A straightforward introduction to Lebesgue's theory of integration.Dr Burkill gives a straightforward introduction to Lebesgue's theory of integration. His approach is the classical one, making use of the concept of measure, and deriving the principal results required for applications of the theory.Dr Burkill gives a straightforward introduction to Lebesgue's theory of integration. His approach is the classical one, making use of the concept of measure, and deriving the principal results required for applications of the theory.Dr Burkill gives a straightforward introduction to Lebesgue's theory of integration. His approach is the classical one, making use of the concept of measure, and deriving the principal results required for applications of the theory.Author's preface; 1. Sets of points; 2. Measure; 3. The Lebesgue integral; 4. Differentiation and integration; 5. Further properties of the integral; 6. The Lebesgue-Stieltjes integral; Solutions of some examples.