More Calculus of a Single Variable

This book PDF is perfect for those who love Mathematics genre, written by Peter R. Mercer and published by Springer which was released on 17 October 2014 with total hardcover pages 411. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related More Calculus of a Single Variable books below.

More Calculus of a Single Variable
Author : Peter R. Mercer
File Size : 42,5 Mb
Publisher : Springer
Language : English
Release Date : 17 October 2014
ISBN : 9781493919260
Pages : 411 pages
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More Calculus of a Single Variable by Peter R. Mercer Book PDF Summary

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.

More Calculus of a Single Variable

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

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