Differential Calculus — P. N. Chatterjee (write-up)

P. N. Chatterjee’s Differential Calculus is a concise, classical textbook aimed at undergraduates beginning the study of calculus. It emphasizes rigorous yet accessible development of foundational ideas in differential calculus, blending intuitive explanations with formal proofs and worked examples.

via the Internet Archive. Other versions and related materials are also available on Scribd. The Story of a Scholar’s Companion

• Read the Text: Do not skip the paragraphs between examples. That is where the gold is.
• Solve the Examples: The solved examples are often more educational than the exercises.
• Pair It Up: Use this book for theory and concepts, and use a modern book (like Cengage) for the vast variety of practice problems.

Format: Known for clear, concise expositions with numerous worked-out examples for practical application.