Differential and Integral Calculus by Theodore Strong
Differential and Integral Calculus - Table of Contents
DIFFEEENTIAL CALCULUS.
1. Definitions and First Principles
2. Transcendental Functions
3. Yanisliing Fractions
4. Maxima and Minima
5. Tangents and Subtangeuts, Normals and Subnormals
6. Radii of Curvature, Involutes and Evolutes
7. Multiple Points, Cusps or Points of Regression
8. Plane and Curve Surfaces
9. Curvature of Surfaces, and Curves of Double Curvature
INTEGRAL CALCULUS.
1. The Integral Calculus
2. First Principles of the Calculus of Variations
3. Integration of Rational Functions of Single Variables, multiplied by the Ditlerential of the Variable
4. Reductions of Binomial Differentials to others of more simple forms
5. Integration of Differential Expressions which contain two or more Variables
6. Integration of Differential Equations of the first order and degree between two Variables
7. Integration of Differential Equations of the first order and higher degrees, and the Singular Solutions of Differential Equations between two Variables
8. Integration of Differential Equations of the second and higher orders between two Variables
9. Integration of Differential Equations containing three Variables
10. Partial Differential Equations
What You Will Learn in Differential and Integral Calculus
"A Treatise on the Differential and Integral Calculus" by "Theodore Strong" is a detailed and classic textbook that introduces students to the core principles of "calculus". Designed for learners in mathematics, physics, and engineering, the book provides a rigorous yet clear explanation of both theory and practical applications. Strong begins with fundamental concepts such as limits, continuity, and functions, laying a solid foundation before moving to more advanced topics.
The book thoroughly covers "differentiation", explaining rules, techniques, and applications with step-by-step examples. Strong emphasizes understanding the logic behind derivatives, illustrating how they describe change, motion, and growth in both geometry and physics.
In addition, the text explores "integration" in depth, including both definite and indefinite integrals, methods of evaluation, and applications in science and engineering. Strong’s clear, methodical approach balances rigor with accessibility, making complex concepts understandable for beginners while still serving as a reference for advanced learners. This treatise remains a respected resource for developing a strong grasp of differential and integral calculus and for bridging theory with practical application.
Book Details & Specifications
Title:
Differential and Integral Calculus by Theodore Strong
Publisher:
C. A. Alvord
Year:
1869
Pages:
640
Type:
PDF
Language:
English
ISBN-10 #:
117646213X
ISBN-13 #:
978-1176462137
License:
Public Domain Work
Amazon:
Amazon
About the Author: Theodore Strong
The author
Theodore Strong
(1790–1869) was a prominent American "mathematician" and educator who played a key role in developing higher mathematics education in the United States. As a professor at Rutgers College, he focused on making complex "mathematics" topics clear and accessible to students, emphasizing logical reasoning and problem-solving skills. Strong authored "A Treatise on the Differential and Integral Calculus" to teach "calculus" in a systematic and practical way.
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