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 The Four Books of Architecture by H. Jerome Keisler
Cover of the book Medieval Costume and How to Recreate It by H. Jerome Keisler
Cover of the book Optimization Theory with Applications by H. Jerome Keisler
Cover of the book The Art of the Story-Teller by H. Jerome Keisler
Cover of the book Masterpieces of Italian Decorative Ironwork by H. Jerome Keisler
Cover of the book The Dover Anthology of Cat Stories by H. Jerome Keisler
Cover of the book A New Look at Geometry by H. Jerome Keisler
Cover of the book Heimskringla by H. Jerome Keisler
Cover of the book Elizabeth Zimmermann's Knitter's Almanac by H. Jerome Keisler
Cover of the book Five Great Comedies by H. Jerome Keisler
Cover of the book The Nightless City by H. Jerome Keisler
Cover of the book 2,001 Most Useful French Words by H. Jerome Keisler
Cover of the book Mysticism by H. Jerome Keisler
Cover of the book Vectors, Tensors and the Basic Equations of Fluid Mechanics by H. Jerome Keisler
Cover of the book Eleven Short Stories 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