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Elementary Calculus: An Approach Using Infinitesimals by H. Jerome Keisler
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About this book :- Recently, infinitesimals have had exciting applications outside mathematics, notably in the fields of economics and physics. Since it is quite natural to use infinitesimals in modelling physical and social processes, such applications seem certain to grow in variety and importance. This is a unique opportunity to find new uses for mathematics, but at present few people are prepared by training to take advantage of this opportunity. This book is written for average students. The problems preceded by a square box go somewhat beyond the examples worked out int the text and are intended for the more adventuresome.
Book Detail :- This book has following details information. Title: Elementary Calculus: An Approach Using Infinitesimals by H. Jerome Keisler Publisher: Bodgen & Quigley Year: 2012 Pages: 992 Type: PDF Language: English ISBN-10 #: 0486484521 ISBN-13 #: 978-0486484525 License: CC BY-NC-SA 3.0 Get this book from Amazon
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Book Contents :- This book has following table of contents. Real and Hyperreal Numbers - Differentiation - Continuous Functions - Integration - Limits, Analytic Geometry and Approximations - Applications of the Integral - Trigonometric Functions - Exponential and Logarithmic Functions - Infinite Series - Vectors - Partial Differentiation - Multiple Integrals - Vector Calculus - Differential Equations
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