Logo

Introduction to Lebesgue Integration

Small book cover: Introduction to Lebesgue Integration

Introduction to Lebesgue Integration
by

Publisher: Macquarie University
Number of pages: 75

Description:
An introduction to some of the basic ideas in Lebesgue integration with the minimal use of measure theory. Contents: the real numbers and countability, the Riemann integral, point sets, the Lebesgue integral, monotone convergence theorem, dominated convergence theorem, etc.

Download or read it online for free here:
Download link
(1.1MB, PDF)

Similar books

Book cover: Interactive Real AnalysisInteractive Real Analysis
by - Seton Hall University
Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability, topology, power series, and more.
(19156 views)
Book cover: A Course of Pure MathematicsA Course of Pure Mathematics
by - Cambridge University Press
This classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. Hardy explains the fundamental ideas of the differential and integral calculus, and the properties of infinite series.
(12868 views)
Book cover: Theory of the IntegralTheory of the Integral
by - ClassicalRealAnalysis.info
This text is intended as a treatise for a rigorous course introducing the elements of integration theory on the real line. All of the important features of the Riemann integral, the Lebesgue integral, and the Henstock-Kurzweil integral are covered.
(19474 views)
Book cover: The Foundations of AnalysisThe Foundations of Analysis
by - arXiv
This is a detailed introduction to the real number system from a categorical perspective. We begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios, and then define the positive real numbers categorically.
(8651 views)