Elementary Textbook on the 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 Principled 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
"Elementary Textbook on the Calculus" by Virgil Snyder is a classic introduction to "single-variable calculus", designed for students transitioning from algebra and geometry to calculus. Originally published in the early 1900s, this book covers foundational topics such as limits, differentiation, integration, and their practical applications. Its clear and straightforward style makes complex concepts accessible to beginners and engineering students.
Snyder’s textbook emphasizes understanding through clear explanations and worked examples rather than abstract theory. The book is well-suited for learners who want to build a solid base in calculus before advancing to more modern or specialized texts. Though some notation and methods reflect its historical context, its timeless approach remains valuable for "self-study" and review.
Ideal for high school and early college students, as well as self-learners, "Elementary Textbook on the Calculus" offers a thorough grounding in essential "calculus fundamentals". It serves as a useful supplementary resource alongside contemporary calculus courses, providing both foundational skills and historical perspective.
Book Details & Specifications
Title:
Elementary Textbook on the 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 respected American mathematician known for his work in "algebraic geometry" and contributions to mathematics education. He earned his Ph.D. from the University of Göttingen and spent much of his career at Cornell University, where he became a professor and department chair. Snyder co-authored several influential textbooks, including "Elementary Textbook on the Calculus". He also served as president of the American Mathematical Society, helping advance math education in the U.S.
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