Differential Calculus by Henry Bayard Phillips
Differential Calculus - Table of Contents
- 1. Introduction
- 2. Derivative and Differential
- 3. Differentiation of Algebraic Functions
- 4. Rates
- 5. Maxima and Minima
- 6. Differentiation of Transcendental Functions
- 7. Geometrical Applications
- 8. Velocity and Acceleration in a Curved Path
- 9. Rolle's Theorem and Indeterminate Forms
- 10, Series and Approximations
- 11. Partial Differentiation
- Supplementary Exercises
What You Will Learn in Differential Calculus
Differential Calculus by Henry Phillips is an acclaimed early 20th-century educational manual engineered to present rates of change and derivatives with maximum conceptual simplicity. Designed for undergraduate science and engineering students, this foundational textbook serves as an exceptional resource for differential calculus problem solving practice.
The volume systematically covers limits, algebraic differentiation, transcendental functions, partial derivatives, and geometric applications to plane curves. By pairing direct mathematical proofs with targeted drill exercises, Phillips enables readers to apply step-by-step calculus differentiation rules with total analytical accuracy and confidence.
Praised for its direct, student-friendly pedagogy and concise instructional layout, this classic text remains an enduring reference for self-directed study and coursework revision. Phillips’ structured approach equips learners with the analytical tools required for mastering single variable derivative applications across STEM fields.
Book Details & Specifications
Title:
Differential Calculus by Henry Bayard Phillips
Publisher:
John Wiley & Sons
Year:
1922
Pages:
84
Type:
PDF
Language:
English
ISBN-10 #:
1112319395
ISBN-13 #:
978-1112319396
License:
Public Domain Work
Amazon:
Amazon
About the Author: Henry Bayard Phillips
The author Henry Bayard Phillips
(1881–1973) was an eminent American mathematician and long-serving Head of the Department of Mathematics at the Massachusetts Institute of Technology (MIT). He authored several highly influential textbooks in calculus, vector analysis, and differential equations.
Known for his insistence on physical intuition and mathematical clarity, Dr. Phillips transformed engineering math pedagogy in North America. His classical publications stand as benchmark references for educators seeking timeless university level calculus study materials.
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