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9781493919253: More Calculus of a Single Variable (Undergraduate Texts in Mathematics)

Sinopsis

This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus ― such as the real numbers, differentiation and integration, mean value theorems, the exponential function ― are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization.

More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.

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Acerca del autor

Peter R. Mercer is Professor of Mathematics at the State University of New York College at Buffalo.

De la contraportada

This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus such as the real numbers, differentiation and integration, mean value theorems, the exponential function are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for p. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization.

More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.

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9781493946815: More Calculus of a Single Variable (Undergraduate Texts in Mathematics)

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ISBN 10:  1493946811 ISBN 13:  9781493946815
Editorial: Springer, 2016
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Mercer, Peter R.
ISBN 10: 1493919253 ISBN 13: 9781493919253
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Original decorated boards. Condición: New. First Edition. Light shelfwear. ; Octavo; xvi, 411 pages. Nº de ref. del artículo: LCH47045

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Peter R. Mercer
Publicado por Springer New York Okt 2014, 2014
ISBN 10: 1493919253 ISBN 13: 9781493919253
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus - such as the real numbers, differentiation and integration, mean value theorems, the exponential function - are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for pi. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization.More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations. 428 pp. Englisch. Nº de ref. del artículo: 9781493919253

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Mercer, Peter R.
Publicado por Springer, 2014
ISBN 10: 1493919253 ISBN 13: 9781493919253
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hardcover. Condición: Very Good. Very good hardcover without DJ, as issued, from a personal collection (NOT ex-library). Binding is tight, sturdy, and square; boards and text/images also very good. Exterior looks great, shelfwear is very minor. An excellent copy. (Quality print from a digital source). Ships same or next business day from Dinkytown in Minneapolis, Minnesota. Nº de ref. del artículo: 301162

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Mercer, Peter R.
Publicado por Springer Verlag, 2014
ISBN 10: 1493919253 ISBN 13: 9781493919253
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Hardcover. Condición: Brand New. 2014 edition. 411 pages. 9.50x6.25x1.25 inches. In Stock. Nº de ref. del artículo: zk1493919253

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Peter R. Mercer
Publicado por Springer New York, 2014
ISBN 10: 1493919253 ISBN 13: 9781493919253
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Treats advanced aspects of the calculus of a single variableEnriches the reader s understanding of the breadth and power of calculusDevelops the reader s mastery of calculus through many challenging and fascinating exercisesTreat. Nº de ref. del artículo: 4214268

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Peter R. Mercer
ISBN 10: 1493919253 ISBN 13: 9781493919253
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Calificación del vendedor: 5 de 5 estrellas Valoración 5 estrellas, Más información sobre las valoraciones de los vendedores

Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus ¿ such as the real numbers, differentiation and integration, mean value theorems, the exponential function ¿ are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for ¿. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization.More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 428 pp. Englisch. Nº de ref. del artículo: 9781493919253

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Peter R. Mercer
ISBN 10: 1493919253 ISBN 13: 9781493919253
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus - such as the real numbers, differentiation and integration, mean value theorems, the exponential function - are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for pi. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization.More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations. Nº de ref. del artículo: 9781493919253

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