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Differential and Integral Calculus with examples & Application by George A. Osborne, S.B. Walker
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**About this book :- **
**Differential and Integral Calculus ** written by
** George A. Osborne, S.B. Walker **. Most of the text has been rewritten, the demonstrations have been carefully revised, and, for the most part, new examples have been substituted for the old. There has been some rearrangement of subjects in a more natural order.

**Book Detail :- **
** Title: ** Differential and Integral Calculus with examples & Application
** Edition: **
** Author(s): ** George Osborne, S.B. Walker
** Publisher: ** D. C. HEATH & CO.
** Series: **
** Year: ** 1906
** Pages: ** 408
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: ** US

**About Author :- **
The author ** George Abbott Osborne ** (1839-1927) is Professor in the Department of Mathematics.

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**Book Contents :- **
**Differential and Integral Calculus ** written by
** George A. Osborne, S.B. Walker **
cover the following topics.

Part-A DIFFERENTIAL CALCULUS

1. Functions

2. Limit. Increment. Derivative

3. Differentiation

4. Successive Differentiation

5. Differentials. Infinitesimals

6. Implicit Functions

7. Series. Power Series

8. Expansion of Functions

9. Indeterminate Forms

10. Maxima and Minima of Functions of One Independent Variable

11. Partial Differentiation

12. Change of the Variables in Derivatives

13. Maxima and Minima of Functions of Two or More Variables

14. Curves for Reference

15. Direction or Curves. Tangents and Normals

16. Direction op Curvature. Points of Inflexion

17. Curvature. Radius of Curvature. Evolute and Involute

18. Order of Contact. Osculating Circle

19. Envelopes

Part-B INTEGRAL CALCULUS

20. Integration of Standard Forms

21. Simple Applications of Integration. Constant of Integration

22. Integration of Rational Fractions

23. Integration of Irrational Functions

24. Trigonometric Forms readily Integrable

25. Integration by Parts. Reduction Formulae

26. Integration by Substitution

27. Integration as a Summation. Definite Integrals

28. Application- of Integration to Plane Curves.

29. Successive Integration

30. Applications of Double Integration

31. Surface, Volume, and Moment of Inertia of Ant Solid

32. Centre of Gravity. Pressure of Eldids. Eorce of Attraction

33. Integrals for Reference

Index

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