Differential and Integral Calculus by William Granville
Differential and Integral Calculus - Table of Contents
DIFFERENTIAL CALCULUS
1. Collection Of Formulas
2. Variables And Functions
3. Theory Of Limits
4. Differentiation
5. Rules For Differentiating Standard Elementary Forms
6. Simple Applications Of The Derivative
7. Successive Differentiation
8. Maxima And Minima. Points Of Inflection. Curve Tracing
9. Differentials
10. Rates
11. Change Of Variable
12. Curvature. Radius Of Curvature
13. Theorem Of Mean Value. Indeterminate Forms
14. Circle Of Curvature. Center Of Curvature
15. Partial Differentiation
16. Envelopes
17. Series
18. Expansion Of Functions
19. Asymptotes. Singular Points
20. Applications To Geometry Of Space
21. Curves For Reference
INTEGRAL CALCULUS
22. Integration. Rules For Integrating Standard Elementary Forms
23. Constant Of Integration
24. The Definite Integral
25. Integration Of Rational Fractions
26. Integration By Substitution Of A New Variable. Rationalization
27. Integration By Parts. Reduction Formulas
28. Integration A Process Of Summation
29. Successive And Partial Integration
30. Ordinary Differential Equations
31. Integraph. Approximate Integration. Table Of Integrals
What You Will Learn in Differential and Integral Calculus
"Elements of the Differential and Integral Calculus" by "William Anthony Granville" is a classic textbook that introduces students to the essential principles of "calculus". Designed for learners in mathematics, physics, and engineering, the book explains fundamental concepts with clarity and logical progression. Granville focuses on building a strong understanding of "differentiation" and "integration", helping students grasp the theory behind each operation rather than simply memorizing formulas.
The book covers topics such as limits, derivatives, integrals, and their practical applications in geometry, mechanics, and physics. Granville provides numerous examples and exercises to reinforce learning, guiding readers step by step through problem-solving techniques.
Granville’s work is known for balancing rigor with accessibility, making it suitable for both beginners and advanced learners. The book emphasizes the connection between theory and application, showing how "calculus" can be used to model real-world problems. By combining clear explanations, practical examples, and structured learning, "Elements of the Differential and Integral Calculus" remains an influential and valuable resource for anyone seeking a solid foundation in "differentiation" and "integration".
Book Details & Specifications
Title:
Differential and Integral Calculus by William Granville
Publisher:
Ginn and Company
Year:
1911
Pages:
492
Type:
PDF
Language:
English
ISBN-10 #:
B008H9UA2E
ISBN-13 #:
N\A
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Anthony Granville
The author
William Anthony Granville
(1864–1943) was an American "mathematician" and educator renowned for his contributions to mathematics teaching. He focused on making complex topics clear and accessible, helping students develop a strong understanding of fundamental concepts. He authored "Elements of the Differential and Integral Calculus" to teach "calculus" through practical examples and clear explanations.
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