
Preface  Preview Material  Supplementary Material 
2005; 151 pp; hardcover ISBN10: 0821836706 ISBN13: 9780821836705 List Price: US$43 Member Price: US$34.40 Order Code: REAL See also: Real Analysis and Applications: Including Fourier Series and the Calculus of Variations  Frank Morgan  This book is written by awardwinning 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 epsilondelta, 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). Request an examination or desk copy. Readership Undergraduate students interested in real analysis. Reviews "Reading your book is a refreshingly delightful change from the usual emphasis on series, rather than topology, as a foundation of analysis."  Robert Jones, University of Dusseldorf Table of Contents



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