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Elementary Calculus: An Infinitesimal Approach
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Elementary Calculus: An Infinitesimal Approach Paperback - 2012 - 3rd Edition

by H. Jerome Keisler


From the publisher

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.

Details

  • Title Elementary Calculus: An Infinitesimal Approach
  • Author H. Jerome Keisler
  • Binding Paperback
  • Edition number 3rd
  • Edition 3
  • Pages 1008
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications
  • Date 2012-02-15
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents, Textbook
  • ISBN 9780486484525 / 0486484521
  • Weight 3.45 lbs (1.56 kg)
  • Dimensions 9.9 x 6.8 x 2 in (25.15 x 17.27 x 5.08 cm)
  • Library of Congress subjects Calculus
  • Library of Congress Catalog Number 2011033656
  • Dewey Decimal Code 515

About the author

H. Jerome Keisler was a longtime professor at the University of Wisconsin, Madison. He pursued his Ph.D. under the direction of Alfred Tarski at the University of California, Berkeley, and his research included model theory and nonstandard analysis.
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Elementary Calculus: An Infinitesimal Approach
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Elementary Calculus: An Infinitesimal Approach

by Keisler, H. Jerome

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Elementary Calculus: An Infinitesimal Approach

Elementary Calculus: An Infinitesimal Approach

by Keisler, H. Jerome

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Elementary Calculus: An Infinitesimal Approach (Dover Books on Mathematics)
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Elementary Calculus: An Infinitesimal Approach (Dover Books on Mathematics)

by H. Jerome Keisler

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Elementary Calculus An Infinitesimal Approach

Elementary Calculus An Infinitesimal Approach

by Keisler, H. Jerome

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Mineola, NY: Dover Publications. Very Good-. 2012. Third Edition. Paperback. 0486484521 . Heavy item; additional shipping may be required for priority or international orders.Stain to exterior edge of pages, minor. Scuffs to exterior edge of pages. Light shelf wear to edges of the cover. Very Good condition otherwise. No other noteworthy defects. No markings.; Dover Books On Mathematics; 6.8 X 2 X 9.9 inches; 913 pages .
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Elementary Calculus: An Infinitesimal Approach (Dover Books on Mathematics)
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Elementary Calculus: An Infinitesimal Approach (Dover Books on Mathematics)

by H. Jerome Keisler

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