Differential and Integral Calculus by Virgil Snyder and John Hutchinson
Differential and Integral Calculus - Table of Contents
DIFFERENTIAL CALCULUS
- 1. Fundamental Principles
- 2. Differentiation of the Elementary Forms
- 3. Successive Differentiation
- 4. Expansion of Functions
- 5. Indeterminate Forms
- 6. Mode of Variation of Functions of One Variable
- 7. Rates and Differentials
- 8. Differentiation of Functions of Two Variables
- 9. Change of the Variable
- 10. Tangents and Normals
- 11. Derivative of an Arc, Area, Volume, and Surface of Revolution
- 12. Asymptotes
- 13. Direction of Bending; Points of Inflection
- 14. Contact and Curvature
- 15. Singular Points
- 16. Envelopes
INTEGRAL CALCULUS
- 1. General Principles of Integration
- 2. Reduction Formulas
- 3. Integration of Rational Fractions
- 4. Integration by Rationalization
- 5. Integration of Trigonometric and Other Transcendental Functions
- 6. Integration as a Summation
What You Will Learn in Differential and Integral Calculus
Differential and Integral Calculus by Virgil Snyder and John Irwin Hutchinson is an authoritative classical mathematics text engineered to bridge elementary algebra with advanced mathematical analysis. Crafted specifically for university courses, this foundational volume clarifies core mathematical theories, making it an indispensable resource for differential integral calculus study practice.
The monograph systematically presents fundamental limit theorems, differentiation rules, implicit functions, definite integration, and introductory differential equations. By combining rigorous theoretical proofs with clear geometric illustrations, Snyder enables readers to apply step-by-step calculus integration methods with total analytical accuracy and confidence.
Widely respected for its logical organization and lucid pedagogical style, this timeless guide serves as an ideal companion for undergraduate coursework and exam preparation. Snyder’s structured exposition equips students with the logical problem-solving tools required for mastering foundational calculus proof techniques across academic fields.
Book Details & Specifications
Title:
Differential and Integral Calculus by Virgil Snyder and John Hutchinson
Publisher:
American Book Company
Year:
1902
Pages:
344
Type:
PDF
Language:
English
ISBN-10 #:
142970148X
ISBN-13 #:
978-1429701488
License:
Public Domain Work
Amazon:
Amazon
About the Author: Snyder Virgil
The author Snyder Virgil
(1869–1950) was an eminent American mathematician and long-serving Professor of Mathematics at Cornell University. Serving as President of the American Mathematical Society (AMS), he made extensive contributions to algebraic geometry and American mathematical scholarship.
Co-authoring with fellow Cornell professor John Irwin Hutchinson, Snyder produced influential textbooks that shaped early 20th-century university education. His classical works continue to be revered globally as foundational university level calculus course materials and historic analytical resources.
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