Graphical Calculus by Arthur Barker, John Goodman
Graphical Calculus - Table of Contents
1. Introductory
2. Curves and their Equations
3. Graphical Differentiation and Integration
4. Nomenclature and General Principles
5. General Principles (Continued)
6. Differential Coefficients of Trigonometrical Functions
7. Differential Coefficients of Logarithmic Functions
8. Differentiation of a Function of a Function of a Variable with Respect to That Variable
9. Integration
10. Methods of Integration
11. Miscellaneous Applications of Differentiation
12. Miscellaneous Applications of Integration
13. Appendix: Barker’s Planimeter
14. Notes
What You Will Learn in Graphical Calculus
"Graphical Calculus" by "Arthur Henry Barker", with an introduction by "John Goodman", is a classic text that explains calculus through clear, visual methods rather than heavy symbolic formulas. Designed for beginners and practical learners, it uses diagrams and geometric reasoning to make concepts like slopes, derivatives, and areas intuitive and accessible.
The book focuses on "graphical differentiation", "graphical integration", and the visual interpretation of standard functions such as trigonometric and logarithmic curves. Barker also introduces practical tools—like the planimeter—to show how graphical methods apply to real engineering and measurement problems. This practical angle makes the book especially helpful for students in technical fields who benefit from hands-on, intuitive understanding.
Though written in the early 20th century, the book remains valuable for anyone who learns best visually or wants to strengthen their conceptual foundation before tackling symbolic calculus. Its approach bridges the gap between abstract mathematics and real-world applications, making it a useful complement to modern textbooks.
Book Details & Specifications
Title:
Graphical Calculus by Arthur Barker, John Goodman
Publisher:
Green, and Company
Year:
1896
Pages:
208
Type:
PDF
Language:
English
ISBN-10 #:
143686240X
ISBN-13 #:
978-1436862400
License:
Public Domain Work
Amazon:
Amazon
About the Author: Arthur Henry Barker
The author Arthur Henry Barker
, author of "Graphical Calculus", was an educator focused on making calculus easier through clear visual methods. His book teaches differentiation and integration using diagrams, practical examples, and tools like the planimeter, reflecting his goal of helping engineering and technical students understand math intuitively. "John Goodman" is credited in some editions for writing the introduction, but little is documented about him beyond this role. His contribution appears to be editorial rather than authorial. Barker remains the central figure behind the book’s practical, visual approach.
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