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Elementary Calculus

Elementary Calculus by H. Jerome Keisler
Elementary Calculus
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Author: H. Jerome Keisler
Page Count: 1008 pages
Published Date: 27 Apr 2012
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486484525
File size: 22 Mb
File Name: elementary.calculus.pdf
Download Link: elementary calculus
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This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods. Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation problems as the motivation. Later chapters develop transcendental functions, series, vectors, partial derivatives, and multiple integrals. The theory differs from traditional courses, but the notation and methods for solving practical problems are the same. The text suggests a variety of applications to both natural and social sciences.

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