Elementary Textbook on Calculus by Virgil Snyder
Elementary Textbook on the Calculus - Table of Contents
- DIFFERENTIAL CALCULUS
- 1. Fundamental Principles
- 2. Differentiation of the Elementary Forms
- 3. Successive Differentiation
- 4. Maxima and Minima
- 5. Rates and Differentials
- 6. Differential of an Area, Arc, Volume, and Surface of Revolution
- 7. Applications to Curve Tracing
- 8. Differentiation of Function of Two Variables
- 9. Change of Variable
- 10. Expansion of Functions
- 11. Indeterminate Forms
- 12. Evolutes and Involutes
- 13. Singular Points
- 14. Envelopes
- INTEGRAL CALCULUS
- 1. General Principles of Integration
- 2. Reduction Formulas
- 3. Integration of Rational Fractions
- 4. Integration by Rationalization
- 5. Integration of Trigonometric Functions
- 6. Integration as a Summation, Areas
- 7. Geometrical Applications
- 8. Successive Integration
- 9. Some Applications of Integral Calculus to Problems of Mechanics
What You Will Learn in Elementary Textbook on the Calculus
An Elementary Textbook on the Calculus by Virgil Snyder and John Irwin Hutchinson is a distinguished classical text engineered to provide undergraduate students with a lucid, intuitive foundation in mathematical analysis. Designed specifically for early technical and scientific training, this volume serves as an exceptional resource for applied elementary calculus differential equation practice.
The monograph systematically explores algebraic functions, geometric derivatives, indefinite integration, partial differentiation, and applications to mechanics. By illustrating core analytical theorems through clear geometric interpretations, Snyder and Hutchinson enable readers to execute essential calculus mathematical problem derivations with complete logical clarity and precision.
Universally respected by university educators for its structured pedagogical flow and rich exercise collections, this enduring textbook remains an invaluable reference for self-directed study. Snyder and Hutchinson’s practical approach equips technical scholars with exact analytical tools required for mastering modern introductory calculus integration principles across diverse mathematical disciplines.
Book Details & Specifications
Title:
Elementary Textbook on Calculus by Virgil Snyder
Publisher:
Cornell University Library
Year:
1912
Pages:
388
Type:
PDF
Language:
English
ISBN-10 #:
1429701714
ISBN-13 #:
978-1429701716
License:
Public Domain Work
Amazon:
Amazon
About the Author: Virgil Snyder
The author Virgil Snyder
(1869–1950) was a prominent American mathematician and Professor of Mathematics at Cornell University, renowned for his influential research in algebraic geometry and classic educational textbooks.
John Irwin Hutchinson was likewise a distinguished Professor of Mathematics at Cornell University. Together, their joint Cornell faculty publications provided foundational references for university instructors seeking accessible classical elementary calculus study materials.
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