Fundamentals of Analysis
by W W L Chen
Publisher: Macquarie University 2008
Number of pages: 152
This is a set of notes suitable for an introduction to some of the basic ideas in analysis. The author covers the number system, sequences and limits, series, functions and continuity, differentiation, the Riemann integral, further treatment of limits, and uniform convergence.
Download or read it online for free here:
(multiple PDF files)
by Robert Rogers, Eugene Boman - Open SUNY Textbooks
This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. The book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments.
by Gerald Teschl - Universitaet Wien
This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.
by B. S. Thomson, J. B. Bruckner, A. M. Bruckner - 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.
by 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.