Rating: 3/5 (for Casual Learners or Beginners)
From basic limits to advanced partial differentiation, it covers the entire spectrum required for engineering entrance exams. What’s Inside? (Syllabus Highlights)
Problem: Prove that if f is differentiable on (a,b) and f'(x)=0 for all x in (a,b), then f is constant on (a,b). Sketch: By MVT, for any x1<x2 in (a,b) there exists c∈(x1,x2) with f'(c) = [f(x2)−f(x1)]/(x2−x1) = 0, hence f(x2)=f(x1).
However, unlike modern textbooks that focus on visualization and graphical approaches, the Das Gupta text represents an older, more austere school of mathematical thought. To understand the value of this book, one must look beyond the file format and understand the pedagogical philosophy it embodies.
, which allow complex functions to be represented as infinite polynomials. Partial Differentiation:
Das Gupta’s solved problems often contain "shortcuts" or specific algebraic manipulations that make the unsolved exercises much easier.