by Arthur Latham Baker
Publisher: John Wiley & Sons 1890
Number of pages: 147
The author endeavored throughout to use only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Complex Variables.
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by W W L Chen - Macquarie University
An introduction to some of the basic ideas in Lebesgue integration with the minimal use of measure theory. Contents: the real numbers and countability, the Riemann integral, point sets, the Lebesgue integral, monotone convergence theorem, etc.
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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.
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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.
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