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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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Reseña del editor
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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Hardcover. Condición: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.15. Nº de ref. del artículo: G0821836706I3N00
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Real Analysis
Publicado por
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
Antiguo o usado
Tapa dura
Librería: ThriftBooks-Dallas, Dallas, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.15. Nº de ref. del artículo: G0821836706I3N00
Cantidad disponible: 1 disponibles
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Real Analysis
Publicado por
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
Antiguo o usado
Tapa dura
Librería: ThriftBooks-Dallas, Dallas, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.15. Nº de ref. del artículo: G0821836706I4N00
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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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Real Analysis
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ISBN 13: 9780821836705
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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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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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American Mathematical Society, 2005
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ISBN 13: 9780821836705
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Condición: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. Nº de ref. del artículo: 4819603-5
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ISBN 10: 0821836706
ISBN 13: 9780821836705
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Real Analysis
Publicado por
American Mathematical Society, 2005
ISBN 10: 0821836706
ISBN 13: 9780821836705
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Librería: Kennys Bookstore, Olney, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
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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