Differential and Integral Calculus: With Examples and Applications by George A Osborne
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About this book :-
This is an old but classic calculus textbook. It explains calculus clearly and uses many examples to help students learn. The book is good for people studying engineering and navigation. It teaches both differential and integral calculus step by step, so it is easy to understand. It shows how calculus can be used in real life.
Book Detail :-
This book has following details information.
Title:
Differential and Integral Calculus: With Examples and Applications by George A Osborne
Publisher:
Boston, D. C. Heath
Year:
1906
Pages:
408
Type:
PDF
Language:
English
ISBN-10 #:
1112347585
ISBN-13 #:
978-1112347580
License:
N\A
Get this book from Amazon
About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
Part-I DIFFERENTIAL CALCULUS
1. Functions, Variables and Constants
2. Limit. Increment. Derivative
3. Differentiation
4. Successive Differentiation, Leibnitz's Theorem
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, Series of Curves
Part-II 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. Application to Certain Volumes
29. Successive Integration, Definite Double Integral. Variable Limits. Triple Integrals
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
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