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This section introduces the definition of a derivative. It focuses on the geometric interpretation of a derivative as the slope of a tangent line. Differentiation from first principles (delta method). The relationship between differentiability and continuity. 3. Successive Differentiation

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The book covers topics such as:

: Real numbers, functions of a single variable, and rigorous treatments of limits and continuity.

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A peer-reviewed, entirely free textbook available in PDF format covering all core differential calculus topics.

In the quiet, dust-moted corners of university libraries across India, there was a book that didn't need a flashy cover to be noticed. It was a well-worn copy of P.N. Chatterjee’s Differential Calculus . For decades, it served as the silent mentor for students navigating the treacherous waters of real numbers, limits, and complex derivatives.

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Differential calculus is an important 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 used in physics to describe the motion of objects, and in economics to study the behavior of economic systems.