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Sinopsis
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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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 $\mathbf{R n$. 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 at the back of the book 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 national Haimo teaching award 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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Real Analysis
Publicado por
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
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American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Condición: acceptable. Book is considered to be in acceptable condition. The actual cover image may not match the stock photo. Book may have one or more of the following defects: noticeable wear on the cover dust jacket or spine; curved, dog eared or creased page s ; writing or highlighting inside or on the edges; sticker s or other adhesive on cover; CD DVD may not be included; and book may be a former library copy. Nº de ref. del artículo: SEWV.0821836706.A
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Real Analysis
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American Mathematical Society, 2005
ISBN 10: 0821836706
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Condición: 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. . . . . Nº de ref. del artículo: V9780821836705
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Real Analysis
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MP-AMM American Mathematical, 2005
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Real Analysis
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American Mathematical Society, 2005
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ISBN 13: 9780821836705
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Real Analysis
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ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
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Condición: 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. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9780821836705
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Real Analysis
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Real Analysis
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Real Analysis
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American Mathematical Society, 2005
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ISBN 13: 9780821836705
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