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Easy Lessons in the Differential Calculus by Richard Proctor




Easy Lessons in the Differential Calculus - Table of Contents

  • 1. Purpose of the Differential Calculus
  • 2. The Integral Calculus
  • 3. Illustrations of the Use of the Calculus
  • 4. Differentiating Simple Functions
  • 5. Differentiating Simple Functions (continued)
  • 6. Differentiating Composite Functions
  • 7. Illustrations: Maxima and Minima
  • 8. Further Examples of Maxima and Minima
  • 9. Differentiating Logarithmic Functions
  • 10. Other Examples: Maxima and Minima
  • 11. Vanishing Fractions
  • 12. Tangents to Curves
  • 13. Areas of Curves
  • 14. Use of the Integral Calculus
  • 15. Direct Integration
  • 16. Integration by Parts
  • 17. Use of Useful Integrals
  • 18. Integration by Substitution
  • 19. Elliptic and Hyperbolic Integrals
  • 20. Subsidiary Integrals
  • 21. Subsidiary Integrals (continued)

What You Will Learn in Easy Lessons in the Differential Calculus

Easy Lessons in the Differential Calculus by Richard A. Proctor is a classic introductory text designed specifically to remove the intimidation factor from learning calculus. By replacing abstract jargon with intuitive explanations and practical examples, Proctor offers an accessible pathway for elementary differential calculus study practice.

The book carefully unpacks rates of change, slopes, limits, successive differentiations, and maximum-minimum problems without confusing mathematical abstraction. Through clear step-by-step guides, Proctor enables self-directed learners and young students to execute fundamental calculus differentiation rules with total clarity and confidence.

Praised for its friendly, conversational tone and logical structure, this historic manual remains an ideal starting point for anyone entering higher mathematics. Proctor’s methodical teaching approach equips readers with the core understanding required for mastering basic calculus proof techniques across academic disciplines.

Book Details & Specifications

Title: Easy Lessons in the Differential Calculus by Richard Proctor
Publisher: Longmans, Green and Company
Year: 1897
Pages: 114
Type: PDF
Language: English
ISBN-10 #: 1172939934
ISBN-13 #: 9781172939930
License: Public Domain Work
Amazon: Amazon

About the Author: Richard Anthony Proctor

The author Richard Anthony Proctor (1837–1888) was a famous English astronomer, mathematician, and science communicator best known for producing exceptionally clear educational texts. Educated at St John's College, Cambridge, he authored numerous books that popularized astronomy and mathematics for the general public.

Celebrated for his ability to translate dense scientific concepts into accessible knowledge, Proctor published maps of the sky, geometry manuals, and introductory calculus guides. His classical works continue to inspire educators creating approachable introductory calculus learning resources.


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