Elements of Differential Calculus by James McMahon
Elements of the Differential Calculus - Table of Contents
- 0. Introduction
- 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 More Than One Variable
- 9. Successive Partial Differentiation
- 10. Maxima and Minima of Functions of Two Variables
- 11. Change of the Variable
- 12. Tangents and Normals
- 13. Derivative of an Arc, Area, Volume, and Surface of Revolution
- 14. Asymptotes
- 15. Direction of Bending. Points of Inflexion
- 16. Contact and Curvature
- 17. Singular Points
- 18. Curve Tracing
- 19. Envelopes
What You Will Learn in Elements of the Differential Calculus
Elements of the Differential Calculus by James McMahon and Virgil Snyder is an acclaimed late 19th-century educational treatise designed to bridge elementary algebra and advanced mathematical analysis. Structured specifically for college undergraduates, this foundational volume serves as an exceptional resource for differential calculus problem solving practice.
The volume systematically explores rates of change, algebraic differentiation, transcendental functions, successive derivatives, partial differentiation, and geometric applications to plane curves. By pairing direct mathematical proofs with extensive practical drill exercises, the authors enable readers to execute fundamental calculus differentiation rules with total analytical accuracy and confidence.
Praised by educators for its logical development and accessible exposition, this historic Cornell textbook remains a highly valuable asset for independent study and revision. McMahon and Snyder’s structured methodology equips self-directed learners with the exact logical tools required for mastering single variable derivative applications across technical fields.
Book Details & Specifications
Title:
Elements of Differential Calculus by James McMahon
Publisher:
American Book Company
Year:
1898
Pages:
368
Type:
PDF
Language:
English
ISBN-10 #:
1436833396
ISBN-13 #:
978-1436833394
License:
Public Domain Work
Amazon:
Amazon
About the Author: James McMahon
The author James McMahon
(1856–1922) was a distinguished professor of mathematics at Cornell University, where he served for over thirty-five years. A prominent member of the American Mathematical Society, he made significant research contributions to mathematical physics and special functions.
Co-author Virgil Snyder (1869–1950) was also a celebrated Cornell professor and President of the American Mathematical Society. Together, their classical textbooks established benchmark standards for educators seeking rigorous university level calculus study materials.
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