TY  - BOOK
AU  - Frank Morgan
TI  - Real analysis
SN  - 9780821852224
AV  - QA300 
PY  - 2005///]
CY  - Rhode Island
PB  - American Matematical Society
KW  - Mathematics
N1  - Part I. Real Numbers and Limits
Part II. Topology
Part III. Calculus
Part IV. Metric Spaces
N2  - Intended for undergraduates studying real analysis, this book builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in Rn. 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.This concise text not only provides efficient proofs, but also shows students how to derive them. The excellent exercises are accompanied by select solutions. Ideally suited as an undergraduate textbook, this complete book on real analysis will fit comfortably into one semester.---Summary provided by publisher
ER  -