Elementary Calculus

An Infinitesimal Approach

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book Elementary Calculus by H. Jerome Keisler, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: H. Jerome Keisler ISBN: 9780486310466
Publisher: Dover Publications Publication: April 22, 2013
Imprint: Dover Publications Language: English
Author: H. Jerome Keisler
ISBN: 9780486310466
Publisher: Dover Publications
Publication: April 22, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Quilting with Strips and Strings by H. Jerome Keisler
Cover of the book Drawing the Draped Figure by H. Jerome Keisler
Cover of the book Purgatorio by H. Jerome Keisler
Cover of the book From Raindrops to Volcanoes by H. Jerome Keisler
Cover of the book Annals of a Fortress by H. Jerome Keisler
Cover of the book Introduction to Real Analysis by H. Jerome Keisler
Cover of the book Groups, Rings, Modules by H. Jerome Keisler
Cover of the book Ancient Carpenters' Tools by H. Jerome Keisler
Cover of the book The Blue Fairy Book by H. Jerome Keisler
Cover of the book Smoke Bellew by H. Jerome Keisler
Cover of the book Fantasies from Opera for Violin and Piano by H. Jerome Keisler
Cover of the book The Night Before Christmas by H. Jerome Keisler
Cover of the book Henry Hobson Richardson and His Works by H. Jerome Keisler
Cover of the book Oriental Armour by H. Jerome Keisler
Cover of the book Computational Modeling for Fluid Flow and Interfacial Transport by H. Jerome Keisler
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy