Differential Calculus Ghosh Maity Part 2 Pdf Instant
Finding the right PDF for An Introduction to Analysis (Differential Calculus): Part II
3. Expansions of Functions (Infinite Series)
- Taylor’s Theorem with Lagrange’s and Cauchy’s forms of remainder
- Maclaurin’s Expansion
- Standard expansions: ( e^x ), ( \sin x ), ( \cos x ), ( \log(1+x) ), ( (1+x)^n )
- Applications in limits and approximations.
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Chapter 11 – Functions of Several Variables
- Partial derivatives – definition via limit, notation, and geometric meaning (slope in coordinate directions).
- Total differential – Δz ≈ fₓΔx + f_yΔy; error estimation.
- Differentiability criteria – necessary (existence of partials) vs. sufficient (continuity of partials).
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