Analyzing Analytic Functions

Related lectures (30)

Page 3 of 3

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Covers the Newton method for finding zeros of functions using data interpolation.

Discusses the residue theorem and its applications in complex analysis, including integral calculations and Laurent series.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Covers the functional equation of zeta function and Jensen's formula in complex analysis.

Covers the convergence theorems for interpolation and the application of polynomials for equispaced points.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.