Differential calculus forms the cornerstone of mathematical analysis, engineering, and physical sciences. For many undergraduate students in India, particularly those following a BSc curriculum, the textbook has been a trusted companion. The Part 1 volume of this series is renowned for its lucid explanation, structured approach, and a vast collection of solved examples.
Classification of functions (surjective, injective, bijective) and their domains. 2. Limits and Continuity (epsilon-delta) definition of a limit. One-sided limits and limits at infinity. Types of discontinuities (removable, jump, essential). Properties of continuous functions on closed intervals. 3. Differentiation and Successive Differentiation Geometric and physical interpretations of the derivative. Differentiability versus continuity. Higher-order derivatives and for the -th derivative of a product. 4. Mean Value Theorems Rolle's Theorem : Conditions and geometric meaning.
: The official publisher regularly prints affordable paperback student editions.
The table of contents for Ghosh Maity Part 1 is as follows:
: Tangents, normals, curvature, asymptotes, and singular points.
: Successive differentiation, expansion of functions, and partial differentiation.
Types of functions, including domain, range, and inverse functions. 2. Limit and Continuity definitions of limits. One-sided limits and fundamental limit theorems.
While various snippets and partial chapters are available for online viewing on platforms like Scribd or the Internet Archive , the full copyrighted work is typically acquired through authorized retailers: Differential Calculus by Matty and Ghosh | PDF - Scribd
Understanding remainders (Lagrange’s form and Cauchy’s form). Standard expansions for exe to the x-th power 🎯 Key Features of the Textbook
This section transitions from static algebra to dynamic calculus. Formal definition of a function, domain, and range. (epsilon-delta) definition of a limit.
Core rules, successive differentiation (higher-order derivatives), and the use of mathematical induction to verify results.
Based on the Internet Archive and university syllabi, the primary chapters include: