TY  - BOOK
AU  - Morgan,Frank
TI  - Real analysis
SN  - 0821836706 
U1  - 515 MOR 
PY  - 2005///
CY  - Rhode Island
PB  - American Mathematical Society
KW  - Mathematical analysis
KW  -  Reelle Analysis
N1  - Include index
N2  - 	
"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
ER  -