More Calculus of a Single Variable

Peter R. Mercer

ISBN 10: 1493946811 / ISBN 13: 9781493946815

Editore: Springer New York, Springer US, 2016

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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.

Codice articolo 9781493946815

Dati bibliografici

• Titolo: More Calculus of a Single Variable
• Editore: Springer New York, Springer US
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1493946811
• ISBN 13: 9781493946815
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 24 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 24 millimetri di profondità
• Peso: 645 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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