Irrational Numbers and Their Representation by Sequences and Series
by Henry Parker Manning
Publisher: J. Wiley & sons 1906
Number of pages: 156
This book is intended to explain the nature of irrational numbers, and those parts of Algebra which depend on what is usually called The Theory of Limits. We have endeavored to show how the fundamental operations are to be performed in the case of irrational numbers and to define the irrational exponent and the logarithm.
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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 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.
by Bruce K. Driver - Springer
These are lecture notes from Real analysis and PDE: Basic Topological, Metric and Banach Space Notions; Riemann Integral and ODE; Lebesbgue Integration; Hilbert Spaces and Spectral Theory of Compact Operators; Complex Variable Theory; etc.
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.