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612-822-4611
Teaching Calculus With Infinitesimals

Teaching Calculus With Infinitesimals

Paperback

General Mathematics

ISBN10: 3659624527
ISBN13: 9783659624520
Publisher: Lap Lambert Academic Pub
Published: Oct 20 2014
Pages: 120
Weight: 0.41
Height: 0.28 Width: 6.00 Depth: 9.00
Language: English
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.

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General Mathematics