More Calculus of a Single Variable (Undergraduate Texts in Mathematics) - Tapa dura

Libro 137 de 168: Undergraduate Texts in Mathematics

Mercer, Peter R.

 
9781493919253: More Calculus of a Single Variable (Undergraduate Texts in Mathematics)
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ISBN 10: 1493919253 ISBN 13: 9781493919253
Editorial: Springer, 2014

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
1493919253
ISBN 13 
9781493919253
Encuadernación
Tapa dura
Número de páginas
428
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

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

Edición Destacada

ISBN 10:  1493946811 ISBN 13:  9781493946815
Editorial: Springer, 2016
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