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Synopsis
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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Review
"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
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Real Analysis
Published by
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
Published by
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
Published by
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
Published by
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
Published by
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
Published by
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
Published by
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis (Hardcover)
Published by
American Mathematical Society, Providence, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Hardcover. Condition: new. Hardcover. 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). Suitable for undergraduates studying real analysis, this book presents 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780821836705
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Real Analysis
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MP-AMM American Mathematical, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
Published by
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
New
Hardcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. Suitable for undergraduates studying real analysis, this book presents 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. Num Pages: 151 pages, illustrations. BIC Classification: PBKB. Category: (P) Professional & Vocational. Dimension: 259 x 183 x 15. Weight in Grams: 539. . 2005. Hardcover. . . . . Seller Inventory # V9780821836705
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