More Calculus of a Single Variable

Peter R. Mercer

ISBN 10: 1493946811 / ISBN 13: 9781493946815

Verlag: Springer New York, Springer US Aug 2016, 2016

Beschreibung

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.

Bestandsnummer des Verkäufers 9781493946815

Bibliografische Details

• Titel: More Calculus of a Single Variable
• Verlag: Springer New York, Springer US Aug 2016
• Erscheinungsjahr: 2016
• Sprache: Englisch
• ISBN-10: 1493946811
• ISBN-13: 9781493946815
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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