Orders of Infinity
by G. H. Hardy
Publisher: Cambridge University Press 1910
Number of pages: 101
The ideas of Du Bois-Reymond's 'Infinitarcalcul' are of great and growing importance in all branches of the theory of functions. The author attempted to bring the Infinitarcalcul up to date, stating explicitly and proving carefully a number of general theorems the truth of which Du Bois=Reymond seems to have tacitly assumed.
Home page url
Download or read it online for free here:
by Elias Zakon - The TrilliaGroup
This book follows the release of the author's Mathematical Analysis I and completes the material on Real Analysis that is the foundation for later courses. The text is appropriate for any second course in real analysis or mathematical analysis.
by B. Lafferriere, G. Lafferriere, N. Mau Nam - Portland State University Library
We provide students with a strong foundation in mathematical analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
by Charles Walmsley - Cambridge University Press
Originally published in 1926, this text was aimed at first-year undergraduates studying physics and chemistry, to help them become acquainted with the concepts and processes of differentiation and integration. A prominence is given to inequalities.
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.