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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
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About Author :-
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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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