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.
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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 Martin Smith-Martinez, et al. - Wikibooks
This introductory book is concerned in particular with analysis in the context of the real numbers. It will first develop the basic concepts needed for the idea of functions, then move on to the more analysis-based topics.
by Dan Sloughter - Synechism.org
This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, the author is assuming that the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses.
by N. J. Lennes - John Wiley & Sons
This volume is designed as a reference book for a course dealing with the fundamental theorems of infinitesimal calculus in a rigorous manner. The book may also be used as a basis for a rather short theoretical course on real functions.