More Calculus of a Single Variable

Peter R. Mercer

ISBN 10: 1493919253 / ISBN 13: 9781493919253

Published by Springer New York, Springer New York, 2014

About this Item

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. Seller Inventory # 9781493919253

Bibliographic Details

Title: More Calculus of a Single Variable

Publisher: Springer New York, Springer New York

Publication Date: 2014

Binding: Buch

Condition: Neu

About this title

Synopsis:

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.

About the Author:

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