The report begins with an introduction to differential calculus, highlighting its importance and applications in various fields. The author, P.N. Chatterjee, provides an overview of the topic, including the concept of limits, continuity, and differentiability.

: Rigorous treatment of Rolle’s Theorem, Lagrange’s and Cauchy’s Mean Value Theorems, and Leibnitz’s Theorem for successive differentiation.

Rolle's Theorem, Mean Value Theorems (Lagrange and Cauchy), and Taylor's/Maclaurin's Theorems.

Differential calculus is a crucial branch of mathematics that has numerous applications in various fields. It is used to study the behavior of functions, optimize problems, and model real-world phenomena. Differential calculus is also a fundamental tool for physics, engineering, and computer science, as it helps to describe the laws of motion, optimize systems, and analyze data.

Arjun wasn’t the first to own it. The inside cover was a graveyard of names—Amit (1994), Suman (2002), Rahul (2015). To Arjun, the book wasn't just a collection of theorems; it was a rite of passage.