A Primer of Real Analysis
by Dan Sloughter
Publisher: Synechism.org 2009
Number of pages: 152
Description:
This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses and has had some exposure to the ideas of mathematical proof.
Download or read it online for free here:
Download link
(2.5MB, PDF)
Similar books
Theory of the Integralby Brian S. Thomson - 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.
(18964 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.
(12823 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.
(34986 views)
Orders of Infinityby G. H. Hardy - Cambridge University Press
The ideas of Du Bois-Reymond's 'Infinitarcalcul' are of great and growing importance in all branches of the theory of functions. The author brings the Infinitarcalcul up to date, stating explicitly and proving carefully a number of general theorems.
(11768 views)