Integral Calculus

DETAILS : 

• Author : R. K. Mohanty 
  
• Publisher ‏ : ‎ Anmol Publisher
  
• Publication date ‏ : ‎ 1 January 2005
  
• Language ‏ : ‎ English
  
• ISBN-10 ‏ : ‎ 8126119020
  
• ISBN-13 ‏ : ‎ 978-8126119028
  
• Item Weight ‏ : ‎ 400  g

ABOUT THE BOOK

Integral Calculus by R.K. Mohanty is a highly structured and pedagogically sound textbook designed primarily for undergraduate students of Mathematics, Physics, and Engineering. It is well-regarded for its clarity in presenting the transitions from basic differentiation to the more complex "anti-differentiation" processes.

The book is praised for its logical progression, covering:

• Fundamental Principles: Detailed exploration of Riemann sums and the Fundamental Theorem of Calculus.
• Techniques of Integration: Comprehensive drills on integration by parts, trigonometric substitutions, and partial fractions.
• Applications of Integration: Practical sections on finding lengths of curves (rectification), areas of plane regions (quadrature), and volumes of solids of revolution.
• Special Functions: Introduction to Beta and Gamma functions, which are crucial for higher-level engineering and statistical physics.
• Differential Equations: A foundational look at how integral calculus serves as the primary tool for solving first-order differential equations.

The text stands out due to its "Learning by Doing" philosophy, providing a vast number of graded problems—ranging from simple computational exercises to complex proofs required for competitive academic examinations.

ABOUT THE AUTHOR

Dr. R.K. Mohanty is a distinguished academician and professor with decades of experience in teaching and research in the field of Numerical Analysis and Differential Equations. He has held prestigious positions at various leading institutions, including South Asian University and the University of Delhi.

Dr. Mohanty is a fellow of several national academies and has a prolific research background, having published numerous papers in international journals of repute. His expertise in numerical methods for partial differential equations brings a unique precision to his textbooks. He is known for his ability to simplify rigorous mathematical proofs, making them accessible to students who are just beginning to navigate the abstractions of higher mathematics.