The Calculus by Ellery W. Davis & William C. Brenke
The Calculus - Table of Contents
- 1. Functions, Slope, Speed
- 2. Limits, Derivatives
- 3. Differentiation of Algebraic Functions
- 4. Implicit Functions, Differentials
- 5. Tangents-Extremes
- 6. Successive Derivatives
- 7. Reversal of Rates, Integration
- 8. Logarithms, Exponential Functions
- 9. Trigonometric Functions
- 10. Applications to Curves, Length, Curvature
- 11. Polar Coordinates
- 12. Technique of Integration
- 13. Integrals as Limits of Sums
- 14. Multiple Integrals, Applications
- 15. EmpiricalCurves-Increments-Integrating Devices
- 16. Law of the Mean, Taylor's Formula, Series
- 17. Partial Derivatives, Applications
- 18. Curved Surfaces, Curves in Space
- 19. Differential Equations
What You Will Learn in The Calculus
The Calculus by Ellery Williams Davis and William Charles Brenke is an acclaimed classical reference engineered to supply university students with a thorough, rigorous grounding in mathematical analysis. Tailored specifically for undergraduate technical and scientific instruction, this volume serves as an exceptional guide for applied classical calculus problem solving practice.
The monograph systematically details algebraic differentiation, limits, geometric integration applications, partial derivatives, and infinite series. By illustrating theoretical analytical theorems through direct physical problems and practical geometric exercises, Davis and Brenke enable readers to execute essential differential integral mathematical derivations with complete logical clarity.
Universally respected by university faculty for its logical structure and lucid exercise collections, this enduring educational reference remains an invaluable manual for self-directed technical study. Davis and Brenke’s methodical framework equips science scholars with exact analytical tools required for mastering modern foundational calculus differential integration across technical disciplines.
Book Details & Specifications
Title:
The Calculus by Ellery W. Davis & William C. Brenke
Publisher:
Macmillan
Year:
1912
Pages:
486
Type:
PDF
Language:
English
ISBN-10 #:
1358199582
ISBN-13 #:
978-1358199585
License:
Public Domain Work
Amazon:
Amazon
About the Author: Ellery Williams Davis
The author Ellery Williams Davis
was an American "(1857–1918) was Professor of Mathematics and Dean of the College of Arts and Sciences at the University of Nebraska, widely recognized for his academic leadership and contributions to collegiate mathematical education.
William Charles Brenke was Professor of Mathematics at the University of Nebraska. Together, their joint faculty publications provided foundational references for university instructors seeking accessible classical introductory calculus study materials.mathematician" and educator known for making complex mathematical concepts clear and accessible. He focused on helping students understand the fundamentals of "calculus" through structured explanations and practical examples. He authored "The Calculus" to teach "differentiation" and "integration" with clarity, bridging theory and real-world applications. His textbooks continue to support learners in building strong analytical skills and a solid foundation in "mathematics".
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