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
Undergraduate Analysis Toolsby Bruce K. Driver - University of California, San Diego
Contents: Natural, integer, and rational Numbers; Fields; Real Numbers; Complex Numbers; Set Operations, Functions, and Counting; Metric Spaces; Series and Sums in Banach Spaces; Topological Considerations; Differential Calculus in One Real Variable.
(3686 views)
Elliptic Functionsby Arthur Latham Baker - John Wiley & Sons
The author used only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Complex Variables.
(7941 views)
Basic Analysis: Introduction to Real Analysisby Jiri Lebl - Lulu.com
This is a free online textbook for a first course in mathematical analysis. The text covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, and sequences of functions.
(15588 views)
Notes on Measure and Integrationby John Franks - arXiv
My intent is to introduce the Lebesgue integral in a quick, and hopefully painless, way and then go on to investigate the standard convergence theorems and a brief introduction to the Hilbert space of L2 functions on the interval.
(3844 views)