Taylor's Theorem: Advanced Analysis I

Related lectures (29)

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Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.

Covers Taylor series with integral remainder for open intervals and their applications in mathematical analysis.

Explains the definition and uniqueness of developments limites for continuous functions on open intervals.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.

Covers the concept of functions being n+1 times differentiable and the Taylor formula.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Explores limits, continuity, and elementary functions' properties, emphasizing the importance of understanding continuous functions.

Focuses on Theorem 2 for functions of class Cn and their Taylor expansion around a.