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Real Analysis (Hardcover, Illustrated Ed)
Loot Price: R1,428
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Real Analysis (Hardcover, Illustrated Ed)
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This book is written by award-winning author, Frank Morgan. It
offers a simple and sophisticated point of view, reflecting
Morgan's insightful teaching, lecturing, and writing style.
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
$\mathbb{R}^n$. 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. 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. Frank Morgan received the first Haimo Award for
distinguished college teaching from the Mathematical Association of
America. He has also garnered top teaching awards from Rice
University (Houston, TX) and MIT (Cambridge, MA).
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