Theory of the Integral
by Brian S. Thomson
Publisher: ClassicalRealAnalysis.info 2012
ISBN/ASIN: 1467924393
Number of pages: 407
Description:
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.
Download or read it online for free here:
Download link
(2.3MB, PDF)
Similar books
Introduction to Lebesgue Integrationby W W L Chen - Macquarie University
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, etc.
(18502 views)
Real Analysis for Graduate Students: Measure and Integration Theoryby Richard F. Bass - 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.
(15939 views)
Theory of Functions of a Real Variableby Shlomo Sternberg
The topology of metric spaces, Hilbert spaces and compact operators, the Fourier transform, measure theory, the Lebesgue integral, the Daniell integral, Wiener measure, Brownian motion and white noise, Haar measure, Banach algebras, etc.
(37108 views)
Real Analysisby Martin Smith-Martinez, et al. - Wikibooks
This introductory book is concerned in particular with analysis in the context of the real numbers. It will first develop the basic concepts needed for the idea of functions, then move on to the more analysis-based topics.
(15497 views)