Elementary Treatise on the Integral Calculus by William Johnson
An Elementary Treatise on the Integral Calculus - Table of Contents
- 1. Functions, Rates, and Derivatives
- 2. The Differentiation of Algebraic Functions
- 3. The Differentiation of Transcendental Functions
- 4. The Logarithm
- 5. Successive Differentiation
- 6. The Evaluation of Indeterminate Forms
- 7. Maxima and Minima of Functions of a Single Variable
- 8. The Development of Functions in Series
- 9. Curve Tracing
- 10. Applications of the Differential Calculus to Plane Curves
- 11. Functions of Two or More Variables
What You Will Learn in An Elementary Treatise on the Integral Calculus
An Elementary Treatise on the Integral Calculus by William Woolsey Johnson is an exceptional 19th-century educational work crafted to provide undergraduate students with a solid analytical foundation in integration. Moving systematically from basic antiderivatives to complex definite integrals, Johnson demystifies underlying principles, making this text an indispensable resource for elementary integral calculus study practice.
The book comprehensively covers standard integration forms, rational functions, integration by parts, arc length, plane areas, and volumes of solids. By combining clear theoretical formulations with numerous fully worked examples, Johnson enables students to apply step-by-step definite integration rules with maximum analytical clarity and confidence.
Valued by university professors for its logical progression and concise explanations, this classical volume remains a reliable companion for calculus courses and self-study. Johnson’s structured framework arms readers with the exact mathematical skills required for mastering classical single variable integration techniques across science and engineering.
Book Details & Specifications
Title:
Elementary Treatise on the Integral Calculus by William Johnson
Publisher:
J. Wiley & sons
Year:
1893
Pages:
459
Type:
PDF
Language:
English
ISBN-10 #:
B01BKH6HNA
ISBN-13 #:
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Woolsey Johnson
The author William Woolsey Johnson
(1841–1927) was a distinguished American mathematician and Professor of Mathematics at the United States Naval Academy. One of the founding members of the American Mathematical Society, he contributed significantly to early American university-level mathematics curricula.
Author of widely respected textbooks on differential equations, mechanics, and calculus, Johnson was celebrated for his clear pedagogical method. His foundational texts remain historic landmarks for students and scholars seeking authoritative university level calculus reference materials.
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