Brook Taylor

Related lectures (29)

Page 3 of 3

Delves into complex exponential functions, their properties, and polar representation of complex numbers.

Introduces higher derivatives and the Taylor development, illustrating examples and discussing the uniqueness of the Taylor polynomial.

Explores Taylor series, convergence criteria, and applications in calculus.

Covers the convergence and Taylor series of power series, including examples and applications.

Explores Taylor series expansions for derivatives and integrals, including practical applications.

Explores Taylor series expansions and Riemann integrals, including limits, convergence, subdivisions, and sums.

Explains integration by parts and Taylor series development for finding explicit formulas and understanding term orders.

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

Covers the calculation of limits using Taylor series and the composition of compound functions.