Differential Calculus by John Spare

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About this book :-
This textbook provides a detailed exploration of differential calculus, analysis of the principles of differential calculus, and practical applications. It's an old book but with a focus on clear explanations and practical examples, rather than modern formulas or exercises. The book also contains numerous practical applications of differential calculus, which are illustrated with copious examples and problems. It covers a wide range of topics, including optimization, curve sketching, and related rates. Maxima and Minima And Copious Illustrations Of Its Practical Applications is an excellent resource for anyone interested in learning about differential calculus.

Book Detail :-
This book has following details information.
Title: Differential Calculus by John Spare
Publisher:
Year: 1865
Pages: 283
Type: PDF
Language: English
ISBN-10 #: 3375053975
ISBN-13 #: 978-3375053970
License: N\A
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About Author :-
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Book Contents :-
This book has following table of contents.
1. Elementary Principles 2. Definitions Relating to Functions 3. The Degrees of an Equation, First and Second Degree 4. Increase of the Value of Functions, Decrease of the Value of Functions, Stationary Values of Them 5. The Binomial Series, Solutions of Problems by Inequations 6. Differential of Variable, Differential of Function 7. First Differential Coefficient 8. Use of First Differential Coefficient 9. Successive Differentiation, Second, Third Differentials 10. Taylor's Theorem 11. Theory of Maxima and Minima 12. Problem Furnishing Explicit Functions of One Variable, For Determining Their Maxima and Minima 13. Complete History of Functions 14. Principles and Problems Relating to Prjected Bodies 15. The System of Symbols for Functions, An Implicit Function of a Single Independent Variable and its Differentiation 16. Problems Which May Furnish Implicit Functions of One Varaible and Cases of Their Maxima and Minima 17. Problems of Two Independent Varaibles, Their Differentiation and Their Maxima and Minima 18. Problems Relating to Functions of Two Independent Varaibles and Cases of Their Maxima and Minima 19. Demonstration of the General Form of the Development of f(x+h), and of the Differentiation of Certain Functions 20. Maclaurin's Theorem and Its Application 21. Determination of the Value of Vanishing Fractions 22. Exceptional Principle Relating to Taylor's Theorem 23. Nature of Lograithms and Exponential Quantities 24. Differentiation and Development of Logarithmic and Exponential Functions 25. Examples of the Differentiation and Development of Logarithmic Functions 26. Examples of the Differentiation and Analysis of Exponential Functions, Including Examples from Compound Interest and Increase of Population 27. Differentiation of Circular Functions 28. Geometric Illustrations of the Values of Functions and the Corresponding Values of their Variables also of the Value of Differential Coefficients, Maxima and Minima etc.

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