Differential Calculus by Shanti Narayan, Dr. P. K. Mittal
Book Summary:
This Book originally written about 62 years ago, has during the intervening period, been revised and reprinted several times, Since its last revision, Tremendous changes in the trend of studies have taken place which necessitated a thorough revision of the book. But it was really a very difficult task to revise this perfectly well-written book of the late Dr. Shanti Narayan. For a long time undoubtedly, it was a book loved by teachers and students alike.
Audience of the Book :
This book is Useful for B.Sc Mathematics.
Table of Contents:
Chapter 1. Real Numbers
Chapter 2. Functions and Graphs-Elements Functions
Chapter 3. Continuity and Limit
Chapter 4. Differentiation
Chapter 5. Successive Differentiation
Chapter 6. Expansion of Functions
Chapter 7. Tangents and Normals
Chapter 8. Mean Value Theorems
Chapter 9. Maxima and Minima
Chapter 10. Indeterminate Forms
Chapter 11. Partial Differentiation
Chapter 12. Jacobians
Chapter 13. Concavity and Points of Inflexion
Chapter 14. Curvature and Evolutes
Chapter 15. Asymptotes
Chapter 16. Singular Points
Chapter 17. Curve Tracing
Chapter 18. Envelopes
Chapter 19. Change of Independent Variables