Taylor's Formula: Developments and Applications

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Explores Taylor polynomials, odd orders, simplification, residues, and special cases of zero polynomials.

Explores Taylor's formula, uniqueness of Taylor series, Mean Value Theorem, inflection points, and convexity.

Covers the theory of polynomials, including definitions, properties, and applications.