# More Calculus of a Single Variable

Download or read online More Calculus of a Single Variable PDF book by Peter R. Mercer in ePUB, PDF or Kindle eBooks. Published by Springer in 17 October 2014 the book become immediate popular and critical acclaim in Mathematics books with total hardcover page 411. Click Download Book button to get book file. Read some info about this book below.

- Author : Peter R. Mercer
- Publisher : Springer
- Release : 17 October 2014
- ISBN : 9781493919260
- Page : 411 pages
- Language : English
- Total View : 6590 Views
- File Size : 52,6 Mb

## More Calculus of a Single Variable 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.

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