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 Bayard Phillips is a classic textbook first published in 1916, offering a comprehensive introduction to "differential calculus". The book is designed to guide students through fundamental concepts such as limits, derivatives, and differentials. Phillips emphasizes clarity and logical progression, helping learners build a strong foundation in calculus while connecting abstract ideas to practical applications.
A key feature of the book is its extensive use of "worked examples". Each concept is illustrated with step-by-step problems and exercises, enabling students to apply theory to real-world scenarios. Topics such as curve sketching, optimization, and rates of change are presented in detail, allowing readers to develop problem-solving skills and a deeper understanding of differential calculus. This approach makes the subject both approachable and engaging for students at various levels.
Renowned for its structured pedagogy and educational value, Henry Bayard Phillips’ textbook remains relevant over a century later. Its focus on clear explanations, foundational principles, and numerous "worked examples" ensures that students and educators can rely on it as a comprehensive guide to mastering differential calculus. For anyone studying mathematics or exploring historical educational methods, Phillips’ work continues to be a trusted and practical resource.
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
(1881–1972) was a renowned American "mathematician" and educator, celebrated for his contributions to mathematics and teaching. Educated at Erskine College and Johns Hopkins University, he became a professor and head of the Mathematics Department at MIT, where he influenced generations of students. Phillips authored several important textbooks, including Differential Calculus, Integral Calculus, and Vector Analysis. His works are known for their clarity, structured explanations, and practical applications, making complex concepts accessible. Through his textbooks and teaching, Phillips left a lasting impact on mathematics education, shaping both students and educators in understanding "differential calculus".
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