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Teaching Calculus With Infinitesimals
Contributor(s): Almeida Ricardo (Author)
ISBN: 3659624527     ISBN-13: 9783659624520
Publisher: LAP Lambert Academic Publishing
OUR PRICE:   $56.33  
Product Type: Paperback
Published: October 2014
Qty:
Additional Information
BISAC Categories:
- Mathematics | Functional Analysis
Physical Information: 0.28" H x 6" W x 9" (0.41 lbs) 120 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
This short book is about teaching differential and integral calculus, but instead following the traditional approach, with limits being defined with epsilon and delta, the author provides a simpler way by presenting all the definitions using infinitesimals, as is defined in Nonstandard Analysis. With this approach, the concepts are simpler to understand and the theorems easily proved. The public of this book is anyone interested in calculus, thus students of science, engineering, economics, etc. After a short introduction to Nonstandard Analysis, the author explains in a simple way, but with rigorous techniques, the fundamental notions like convergence of sequences, derivatives, integrals and series.