A Treatise on the Integral Calculus Method of Rates by William Johnson
A Treatise on the Integral Calculus Method of Rates - Table of Contents
- 1. Elementary Methods of Integration and elementary integration technique proofs
- 2. Methods of Integration and advanced integral reduction methods
- 3. Geometrical Applications and double and triple integral applications
- 4. Mean Values and Probabilities and mean value probability distribution theory
- 5. Definite Integrals and definite integral convergence properties
- 6. Functions of the Complex Variable and complex variable contour integration
What You Will Learn in A Treatise on the Integral Calculus Method of Rates
A Treatise on the Integral Calculus Method of Rates by William Woolsey Johnson is an influential 19th-century classical exposition that develops integral analysis through Newton's foundational concept of rates and fluxions. Connecting early mechanical interpretations of calculus with modern analytical techniques, this volume provides a thorough treatment of elementary integration methods, double and triple multiple integrals, geometric applications, definite integrals, and complex variable functions.
Tailored for undergraduate mathematics majors, historians of science, and theoretical analysts, Prof. Johnson bridges fundamental integration rules with advanced analytical geometry and probability theory. Readers are guided step-by-step through evaluating areas, volumes, centers of gravity, mean value distributions, and contour integrations in the complex plane.
Prized for its structural clarity, logical progression, and rich geometric illustrations, it stands as one of the best classical integral calculus textbooks pdf available for study. It systematically equips scholars with essential analytical methods for mastering classical integral analysis with confidence.
Book Details & Specifications
Title:
A Treatise on the Integral Calculus Method of Rates by William Johnson
Publisher:
J. Wiley & sons
Year:
1907
Pages:
466
Type:
PDF
Language:
English
ISBN-10 #:
1346837473
ISBN-13 #:
978-1346837475
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 in Annapolis.
A charter member of the American Mathematical Society, Prof. Johnson authored seminal textbooks on differential, integral, and differential equation calculus, making significant contributions to mathematics education in the late 19th and early 20th centuries.
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