Real analysis /
Published by : American Mathematical Society, (Rhode Island :) Physical details: viii, 151 p. : ill. ; 26 cm. ISBN:0821836706 . Year: 2005 Item type: BooksCurrent library | Call number | Status | Date due | Barcode |
---|---|---|---|---|
Paro College Library | 515 MOR (Browse shelf(Opens below)) | Available | *12558* | |
Paro College Library | 515 MOR (Browse shelf(Opens below)) | Available | *12559* | |
Paro College Library | 515 MOR (Browse shelf(Opens below)) | Available | *12560* |
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515 LEW An interactive introduction to mathematical analysis / | 515 MIT A text book of integral calculus / | 515 MOR Real analysis / | 515 MOR Real analysis / | 515 MOR Real analysis / | 515 PIN How to enjoy calculus : Mathematics. / | 515 PIN How to enjoy calculus : Mathematics. / |
Include index.
"Real Analysis builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in R[superscript n]. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as "closed and bounded," via sequences, and via open covers. Topics include Fourier series, the Gamma function, metric spaces, and Ascoli's Theorem." "The text not only provides efficient proofs, but also shows the student how to come up with them. The exercises come with select solutions in the back. Here is a real analysis text that is short enough for the student to read and understand and complete enough to be the primary text for a serious undergraduate course
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