Logo

Introduction to Lebesgue Integration

Small book cover: Introduction to Lebesgue Integration

Introduction to Lebesgue Integration
by

Publisher: Macquarie University
Number of pages: 187

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.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

Book cover: Homeomorphisms in AnalysisHomeomorphisms in Analysis
by - American Mathematical Society
This book features the interplay of two main branches of mathematics: topology and real analysis. The text covers Lebesgue measurability, Baire classes of functions, differentiability, the Blumberg theorem, various theorems on Fourier series, etc.
(8937 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.
(2858 views)
Book cover: Real Analysis for Graduate Students: Measure and Integration TheoryReal Analysis for Graduate Students: Measure and Integration Theory
by - CreateSpace
Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination. The author presents the material in as clear a fashion as possible.
(7226 views)
Book cover: Elementary Real AnalysisElementary Real Analysis
by - Prentice Hall
The book is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the big picture and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory and other.
(11708 views)