Elementary Calculus An Infinitesimal Approach By: H. Jerome Keisler Publisher: Dover Publications Print ISBN: 9780486484525, 0486484521 eText ISBN: 9780486310466, 0486310469 Pages: 1008 Format: EPUB Available from $ 39.95 USD SKU: 9780486310466 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. SKU: 9780486484525 Ebooks here: https://ebookscoffee.sellpass.io/products/Elementary-Calculus
