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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 9. Integration 10. Methods of Integration 11. Miscellaneous Applications of Differentiation 12. Miscellaneous Applications of Integration 13. Appendix: Barker’s Planimeter 14. Notes
Graphical Calculus by Arthur H. Barker is a classic mathematical guide designed to introduce fundamental calculus concepts through visual geometry and graphical construction. Serving as an intuitive alternative to purely algebraic treatments, this text is an excellent resource for learning graphical methods in calculus and differentiation. The book systematically covers the graphical representation of functions, tangent slopes, area determination, graphical integration, and applications to velocity and acceleration curves. By combining geometric constructions with physical rate-of-change diagrams, Barker helps readers develop visual problem-solving skills in calculus and mathematical modeling. Praised for making calculus visually accessible to engineering and physics students, this foundational work remains a valuable resource for conceptual learning. Barker's illustrative approach provides a solid foundation for graphical calculus, analytical thinking, and engineering applications.
Title: Graphical Calculus by Arthur H. Barker 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
The author Arthur Henry Barker was a British engineer and educator dedicated to practical mathematics instruction and visual teaching methods in technical education during the late 19th and early 20th centuries. Throughout his academic career, Professor Barker focused on demystifying calculus by replacing abstract equations with visual geometric constructions for introductory graphical calculus study guides.
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