Basic Real Analysis
by Anthony W. Knapp
Publisher: Birkhäuser 2016
Number of pages: 840
A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.
Home page url
Download or read it online for free here:
by Bert G. Wachsmuth - Seton Hall University
Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability, topology, power series, and more.
by Robert B. Ash - Institute of Electrical & Electronics Engineering
A text for a first course in real variables for students of engineering, physics, and economics, who need to know real analysis in order to cope with the professional literature. The subject matter is fundamental for more advanced mathematical work.
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 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.