Integral Calculus by Henry Bayard Phillips - PDF
Integral Calculus by Henry Bayard Phillips - PDF - Table of Contents
1. Integration
2. Formulas and Methods of Integration
3. Definite Integrals
4. Simple Areas and Volumes
5. Other Geometrical Applications
6. Mechanical and Physical Applications
7. Approximate Methods
8. Double Integration
9. Triple Integration
10. Differential Equations
11. Supplementary Exercises
12. Table of Integrals
13. Table of Natural Logarithms
What You Will Learn in Integral Calculus by Henry Bayard Phillips - PDF
"Integral Calculus" by Henry Bayard Phillips is a classical "calculus" textbook that introduces the principles of "integration" clearly and systematically. Designed for students and self-learners, it starts with basic concepts such as "indefinite integrals" (antiderivatives) and "definite integrals", explaining their geometric meaning and relevance in problem-solving.
The book develops essential "techniques" of integration, including substitution, integration by parts, and methods for rational, algebraic, and trigonometric functions. Phillips emphasizes a step-by-step approach with numerous worked examples and exercises, helping readers practice and master each method. Applications such as computing areas, volumes by revolution, and surface areas show how integration is used in geometry and physics, making the subject practical and relatable.
Phillips also introduces more advanced topics, including multiple integrals and polar-coordinate integration, bridging the gap between elementary and higher-level calculus. His structured explanations and clear examples make the book ideal for building a strong foundation in integral calculus. By combining theory, techniques, and real-world "applications", this text helps learners understand not just how to integrate, but why integration works, providing a valuable resource for both classroom study and self-directed learning.
Book Details & Specifications
Title:
Integral Calculus by Henry Bayard Phillips - PDF
Publisher:
John Wiley
Year:
1917
Pages:
384
Type:
PDF
Language:
English
ISBN-10 #:
B00A04T5LQ
ISBN-13 #:
License:
Public Domain Work
Amazon:
Amazon
About the Author: Henry Bayard Phillips
The author
Henry Bayard Phillips
(1881–1973) was an American "mathematician" known for his contributions to "calculus" education. He earned his Ph.D. from Johns Hopkins University and taught at the University of Cincinnati and MIT, where he later became head of the "mathematics" department. Phillips authored influential textbooks on "integral calculus", differential calculus, and analytic geometry, blending clear explanations with practical examples. His work emphasized teaching fundamental "techniques" and real-world applications, helping generations of students build strong foundations in mathematics and develop problem-solving skills applicable in science, engineering, and technology.
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