Calculus Of A Single Variable PDF
It is an amazing Mathematics book written by Peter R. Mercer and published by Springer. This book was released on 17 October 2014 with total pages 411. Read book in PDF, EPUB and Kindle directly from your devices anywhere anytime. Click Download button to get More Calculus of a Single Variable book now. This site is like a library, Use search box to get ebook that you want.
- Author : Peter R. Mercer
- Release Date : 17 October 2014
- Publisher : Springer
- Genre : Mathematics
- Pages : 411
- ISBN 13 : 9781493919260
- Total Download : 301
- File Size : 54,8 Mb
More Calculus of a Single Variable 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.