Yet Another Calculus Text: A Short Introduction with Infinitesimals by Dan Sloughter
Yet Another Calculus Text: A Short Introduction with Infinitesimals - Table of Contents
- 1. Derivatives and infinitesimal differentiation rules
- 2. Optimization and calculus optimization extrema problems
- 3. Integrals and antiderivative evaluation techniques
- 4. Definite Integrals and fundamental theorem of calculus area
- 5. Exponent and Logarithm Functions and exponential logarithmic derivative integrals
What You Will Learn in Yet Another Calculus Text: A Short Introduction with Infinitesimals
Yet Another Calculus Text: A Short Introduction with Infinitesimals by Dan Sloughter is a clear, open-access textbook offering an alternative, non-standard approach to introductory single-variable calculus. Structured systematically across 5 concentrated chapters, this volume presents infinitesimal derivatives, optimization mechanics, antiderivatives, definite integrals, and exponential or logarithmic functions.
Tailored for undergraduate mathematics majors, physics students, and secondary AP Calculus educators, Prof. Sloughter replaces standard limit-heavy approaches with the intuitive rigor of hyperreal hyper-integers and infinitesimals. Readers are guided step-by-step through local extrema, curve behavior, area accumulations, and transcendental function rules.
Prized for its concise presentation, conceptual clarity, and non-standard mathematical approach, it stands as one of the best introductory calculus textbooks pdf available for study. It systematically equips students with alternative analytical tools for mastering single variable calculus with confidence.
Book Details & Specifications
Title:
Yet Another Calculus Text: A Short Introduction with Infinitesimals by Dan Sloughter
Publisher:
Orange Grove Texts Plus, eBook (Furman University; Creative Commons Licensed)
Year:
2007
Pages:
147
Type:
PDF
Language:
English
ISBN-10 #:
1616100893
ISBN-13 #:
978-1616100896
License:
CC BY 4.0
Amazon:
Amazon
About the Author: Dan Sloughter
The author Dan Sloughter
is a dedicated math educator at Schoolcraft College, Michigan. With degrees in mathematics and engineering from top universities, he focuses on creating "open educational resources" to make learning accessible. Corral emphasizes "clear mathematical exposition" in his work, using innovative concepts like "infinitesimals" to help students better understand calculus.
Read or Downloadable Yet Another Calculus Text: A Short Introduction with Infinitesimals
Single Variable Calculus Books PDF - Free Textbook Library