Elementary Illustrations of Differential & Integral Calculus by De Morgan
Elementary Illustrations of Differential & Integral Calculus - Table of Contents
1. On the Ratio or Proportion of Two Magnitudes
2. The Notion of Infinitely Small Quantities
3. Convergent and Divergent Series
4. The Notation of the Differential Calculus
5. On the Connexion of the Signs of Algebraical and the Direction of Motion
6. Rational Explanation of the Language of Leibnitz
7. Coinciding Straight Lines
8. An Illustration from Dynamics: Velocity, Acceleration, etc.
9. Recapitulation of Results Reached in the Theory of Functions
10. Application of the Theorem for Total Differentials to the Determination of Total Resultant Errors
11. Total and Partial Differential Coefficients; Implicit Differentiation
What You Will Learn in Elementary Illustrations of Differential & Integral Calculus
"Elementary Illustrations of Differential and Integral Calculus" by "Augustus De Morgan" is a classic introduction to the core ideas of "calculus", written to make advanced mathematics easier for beginners to understand. Published in the 19th century, the book explains the principles of differentiation and integration using clear examples, simple language, and logical reasoning.
This book show how calculus can describe natural changes such as motion, growth, and physical forces. It connects "mathematics" with practical science, making abstract ideas more concrete and relatable. The book remains important for its educational clarity and for being one of the first English works to make calculus accessible to general readers. De Morgan’s combination of logic, simplicity, and real-world application continues to inspire how "differentiation" and "integration" are taught today. His work laid the foundation for modern mathematical education, bridging the gap between theory and practical understanding.
Book Details & Specifications
Title:
Elementary Illustrations of Differential & Integral Calculus by De Morgan
Publisher:
Chicago Open Court Pub. Co
Year:
1899
Pages:
168
Type:
PDF
Language:
English
ISBN-10 #:
B00AZYYPDY
ISBN-13 #:
N\A
License:
Public Domain Work
Amazon:
Amazon
About the Author: De Morgan, Augustus
The author
De Morgan, Augustus
(1806–1871) was a British "mathematician" and logician known for his clear and logical approach to teaching. As a professor at University College London, he focused on making complex mathematical ideas simple and understandable for students. He wrote "Elementary Illustrations of Differential and Integral Calculus" to explain the foundations of "mathematics" and "logic" through practical examples. His work bridged theory and real-world application, helping shape modern methods of teaching calculus and mathematical reasoning.
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