Logo

Yet Another Calculus Text by Dan Sloughter

Small book cover: Yet Another Calculus Text

Yet Another Calculus Text
by


Number of pages: 147

Description:
I intend this book to be, firstly, a introduction to calculus based on the hyperreal number system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. Secondly, I have aimed the text primarily at readers who already have some familiarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most of those without some acquaintance with the basic notions of calculus.

Home page url

Download or read it online for free here:
Download link
(3.9MB, PDF)

Similar books

Book cover: Differential and Integral CalculusDifferential and Integral Calculus
by - American book company
The derivative is presented rigorously as a limit. Maxima and minima are discussed as the turning values in the variation of a function. The related theories of inflexions, curvature, and asymptotes receive direct and comprehensive treatment.
(3379 views)
Book cover: Calculus 1: CourseCalculus 1: Course
by - Intelligent Perception
This is a traditional first semester course in introductory calculus. The main goal is some familiarity with the derivative and its applications. Topics: Limits; Continuity; Limits; Differentiation; Maximum and minimum values of functions; Integral.
(5886 views)
Book cover: Differential CalculusDifferential Calculus
by - S. Chand And Company
This book is meant for students preparing for the B.A. and B.Sc. examinations. The treatment of the subject is rigorous but no attempt has been made to state and prove the theorems in generalised forms and under less restrictive conditions.
(14000 views)
Book cover: Calculus ICalculus I
by - Lamar University
These notes should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus. Contents: Review; Limits; Derivatives; Applications of Derivatives; Integrals; Applications of Integrals.
(12439 views)