Logo

Foundations of Infinitesimal Calculus

Small book cover: Foundations of Infinitesimal Calculus

Foundations of Infinitesimal Calculus
by

Publisher: Academic Press, Inc.
Number of pages: 182

Description:
This book of mathematical 'background' shows how to fill in the mathematical details of the main topics from the course. These proofs are completely rigorous in the sense of modern mathematics - technically bulletproof. We wrote this book of foundations in part to provide a convenient reference for a student who might like to see the 'theorem - proof' approach to calculus.

Home page url

Download or read it online for free here:
Download link
(1.6MB, PDF)

Similar books

Book cover: First Year CalculusFirst Year Calculus
by - Macquarie University
These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.
(17423 views)
Book cover: Functions and Their GraphsFunctions and Their Graphs
by - University of Sydney
Table of contents: Functions (Definition of a function, Domain and range of a function, Specifying or restricting the domain of a function); More about functions; Piecewise functions and solving inequalities; Polynomials; Solutions to exercises.
(12066 views)
Book cover: The CalculusThe Calculus
by - Brigham Young University
Here is a free online calculus course. This is essentially an ordinary text, but you can read it online. There are lots of exercises and examples. The text is rigorous. We do calculus in both one and two variables at the same time.
(10010 views)
Book cover: Calculus and Linear Algebra. Vol. 2Calculus and Linear Algebra. Vol. 2
by - University of Michigan Library
In the second volume of Calculus and Linear Algebra, the concept of linear algebra is further developed and applied to geometry, many-variable calculus, and differential equations. This volume introduces many novel ideas and proofs.
(3143 views)