**Elementary Calculus: An Approach Using Infinitesimals**

by H. Jerome Keisler

**Publisher**: Bodgen & Quigley 2012**ISBN/ASIN**: B0006YE5JW**Number of pages**: 992

**Description**:

This is a calculus textbook at the college Freshman level based on Abraham Robinson's infinitesimals, which date from 1960. Robinson's modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits.

Download or read it online for free here:

**Download link**

(22MB, PDF)

## Similar books

**Dr. Vogel's Gallery of Calculus Pathologies**

by

**Thomas I. Vogel**

The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.

(

**14183**views)

**Elementary Textbook on the Calculus**

by

**Virgil Snyder**-

**Cornell University Library**

The author made special effort to present the calculus in a simple and direct form. Easy applications of the calculus to maxima and minima, tangents and normals, inflexions, asymptotes, and curve tracing have been introduced.

(

**19243**views)

**APEX Calculus**

by

**Gregory Hartman, et al.**-

**APEXcalculus.com**

A calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now. The explanations of new concepts is clear, written for someone who does not yet know calculus.

(

**11717**views)

**The Calculus**

by

**William V. Smith**-

**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.

(

**17071**views)