A Treatise on the Differential Calculus With Numerous Examples by Isaac Todhunter

About this book :-
"A Treatise on the Differential Calculus With Numerous Examples" by Isaac Todhunter is a classic textbook designed to provide a clear and structured introduction to "differential calculus". First published in 1871, the book carefully guides students through fundamental concepts such as limits, continuity, and derivatives. Todhunter’s approach emphasizes clarity and systematic learning, making challenging topics accessible to learners at various levels. One of the defining features of Todhunter’s work is the extensive use of "worked examples". Each concept is reinforced with step-by-step problems that illustrate practical applications of differential calculus. This method not only helps students understand the theory but also develops problem-solving skills by demonstrating how abstract concepts are applied in real-world scenarios. The examples cover a wide range of mathematical problems, making the content both practical and engaging. Renowned for its thoroughness and pedagogical value, Isaac Todhunter’s treatise has remained a respected resource for over a century. Its focus on foundational concepts, clear explanations, and numerous "worked examples" makes it suitable for self-study, classroom learning, and historical reference. Todhunter’s contribution continues to influence mathematics education, offering students and educators a reliable guide to mastering differential calculus and building a strong foundation in mathematical reasoning.

Book Detail :-
Title: A Treatise on the Differential Calculus With Numerous Examples by Isaac Todhunter
Publisher: Macmillan, London
Year: 1890
Pages: 440
Type: PDF
Language: English
ISBN-10 #: 054864070X
ISBN-13 #: 978-0548640708
License: Public Domain Work
Amazon: Amazon

About Author :-
The author Isaac Todhunter (1820–1884) was a renowned English "mathematician" and educator, celebrated for his contributions to mathematics and its teaching. Educated at St John’s College, Cambridge, he graduated as Senior Wrangler and later became a Fellow of the Royal Society. His career combined teaching, research, and writing, establishing him as a leading figure in 19th-century mathematics. Todhunter authored influential textbooks, including "A Treatise on the Differential Calculus With Numerous Examples", making "differential calculus" accessible through clear explanations and "worked examples". His writings, spanning algebra, calculus, and the history of mathematics, remain valuable resources for students and scholars seeking foundational knowledge and historical perspective.

Book Contents :-
1. Definitions, Limit, Infinite 2. Definition of a differential coefficient. Differential coefficient of a sum, product, and quotient 3. Differential coefficients of simple functions 4. Differential coefficients of the inverse trigonometrical functions and of complex functions 5. Successive differentiation 6. Expansion of functions in series 7. Examples of expansion of functions 8. Successive differentiation. Differentiation of a function of two variables 9. Lagrange s theorem and Laplace s theorem 10. Limiting values of functions which assume an indeter minate form 11. Differential coefficient of a function of functions and of implicit functions 12. Change of the independent variable 13. Maxima and minima values of a function of one variable 14. Expansion of a function of two independent variables 15. Maxima and minima values of a function of two inde pendent variables 16. Maxima and minima values of a function of several variables 17. Elimination of constants and functions 18. Tangent and normal to a plane curve 19. Asymptotes 20. Tangents and asymptotes of curves referred to polar co-ordinates 21. Concavity and convexity 22. Singular points 23. Differential coefficient of an arc, an area, a volume, and a surface 24. Contact. Curvature. Evolutes and Involutes 25. Envelops 26. Tracing of curves 27. On differentials 28. Miscellaneous Propositions

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