Examples in Differential and Integral Calculus by Charles S. Jackson
Examples in Differential and Integral Calculus - Table of Contents
PART I. DIFFERENTIAL CALCULUS
SECTION
1, 2. Differentiation
3, 4. Tangents and Slopes
5. dy/dx as a Rate of Increase
6. Easy Maxima and Minima
7, 8. Velocity
9. Differentiation of Logarithms
10, 11. Errors and Rates
12. Approximation to Roots of Equations
13. Newton's Method of approximating to the Roots of an
Equation
14, 23. Maxima, Minima
24. Harder Questions on Tangents and Normals
25. Errors
26. Velocity
27, 28. Miscellaneous Examples
29. Successive Differentiation
30. The Theorem of Leibnitz
31. Miscellaneous
32-34. Expansions
35-37. Indeterminate Forms
38. Taylor's Theorem and Applications
39, 40. Curvature
41. Examples on Maps
42. Partial Differentiation
PART II. INTEGRAL CALCULUS
43. Known Results of Differentiation
44-47. Methods of Integration
48. Hyperbolic Functions
49-51. Integration
52-54. Areas
55. Planimeters and Integraphs
56. Areas and Volumes
57-60. Volumes
61-65. Problems on Simple Integration
66. Mean Values
67. Rectification and Areas of Surfaces
68, 69. Centres of Gravity
70-73. Second Moments, or Moments of Inertia
74. Centre of Pressure
75. Pendulum
76-82. Differential Equations
83. Double and Triple Integration
What You Will Learn in Examples in Differential and Integral Calculus
"Examples in Differential and Integral Calculus" by "Charles S. Jackson" is a practical guide for mastering the fundamentals of "differential calculus". The book focuses on clear, step-by-step worked examples, helping students understand how derivatives are applied in solving mathematical problems. Jackson’s approach emphasizes logic, structure, and accuracy, making complex concepts easier to grasp for learners at various levels.
In addition to differentiation, the book provides extensive coverage of "integral calculus", illustrating how integrals are used to calculate areas, solve equations, and model real-world phenomena. Each problem is carefully chosen to reinforce key concepts and demonstrate the practical applications of calculus in science, engineering, and mathematics. The text balances theory with hands-on exercises, promoting active learning and improving problem-solving skills.
This treatise also serves as a resource in "mathematical analysis", connecting foundational calculus principles to broader analytical thinking. Ideal for students, educators, and self-learners, Jackson’s collection of examples provides a structured and approachable way to build a strong calculus foundation. It remains a valuable reference for anyone seeking to strengthen their understanding of differentiation, integration, and their applications in analytical mathematics.
Book Details & Specifications
Title:
Examples in Differential and Integral Calculus by Charles S. Jackson
Publisher:
Longmans, Green and Company
Year:
1921
Pages:
160
Type:
PDF
Language:
English
ISBN-10 #:
0484212060
ISBN-13 #:
978-0484212069
License:
Public Domain Work
Amazon:
Amazon
About the Author: Charles Samuel Jackson
The author Charles Samuel Jackson
was a notable "mathematician" and educator known for his work in "differential calculus" and "integral calculus". He focused on creating clear, practical resources that made complex mathematical concepts easier for students to understand. Jackson’s approach emphasized step-by-step explanations and problem-solving, helping learners build strong foundations in "mathematical analysis". His works, including "Examples in Differential and Integral Calculus", remain valuable resources for students, educators, and anyone seeking to master calculus concepts and their applications in science, engineering, and mathematics.
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