Integral Calculus by Shanti Narayan, Dr. P. K. Mittal
Book Summary:
The book originally written, about 62 years ago, has during has the intervening period has been revised and reprinted several times. Due to the new U.G.C. Model syllabus and demand of the students, a thorough revision of the book was overdue. I very humbly took the challenge of revising a perfect work of Shri Shanti Nayaran Ji and tried to meet the present demand, of those who always loved and liked the books of the famous Mathematician Shri Shanti Narayan Ji.
Audience of the Book :
This book is useful for B.A. students.
Table of Contents:
1. Definition
2. Methods of Integration
3. Integration of Algebraic Rational Functions
4. Integration of Trigonometric Functions
5. Integration of Irrational Functions
6. Definite Integrals
7. Beta and Gamma Functions
8. Aras of Plane Regions
9. Rectification Lengths of Plane Curves
10. Volumes and Surface of Revolution
11. Centre of Gravity Moment of Intertia
SOME MISCELLANEOUS TOPICS
12. Multiple Integrals
13. Convergence of Improper Integrals
14. Differentiation Under Integral Sign
DIFFERENTIAL EQUATIONS
15. Differentiation Equations of first-order and first degree
16. Equations of the first order but not of the first-degree
17. Trajectories of a Family of Curves
18. Linear equations