Examples in Differential and Integral Calculus by Charles S. Jackson - PDF

About this book :-
"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 Detail :-
Title: Examples in Differential and Integral Calculus by Charles S. Jackson - PDF
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 Author :-
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.

Book 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

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