Elementary Illustrations of Differential & Integral Calculus by Augustus 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 the Differential and Integral Calculus by Augustus De Morgan is a masterpiece of educational exposition, designed specifically to make complex infinitesimal ideas intuitive for students. Bridging basic algebra with introductory analysis, De Morgan simplifies underlying mathematical logic, making this text an ideal companion for elementary calculus fundamentals study practice.
The narrative carefully clarifies fundamental limits, rates of change, continuous functions, and area calculations without overwhelming readers with abstract jargon. By illustrating abstract theorems through concrete geometric and mechanical analogies, De Morgan empowers learners to master step-by-step calculus differentiation principles with clarity and analytical confidence.
Widely praised for its pedagogical lucidity, this timeless volume remains a prized reference for educators and self-taught readers globally. De Morgan’s methodical teaching framework equips students with the solid reasoning needed for mastering classical differential calculus foundations across academic fields.
Book Details & Specifications
Title:
Elementary Illustrations of Differential & Integral Calculus by Augustus 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: Augustus De Morgan
The author Augustus De Morgan
(1806–1871) was an eminent British mathematician and logician, celebrated for introducing De Morgan's laws and formalizing mathematical induction. Serving as the foundation Professor of Mathematics at University College London, he fundamentally reshaped British mathematical education.
A passionate advocate for clear pedagogical writing, De Morgan authored numerous influential manuals on algebra, logic, and arithmetic. His classical writings remain lasting treasures for readers seeking accessible university level calculus introductory guides and historical texts.
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