Complex Numbers: Properties and Applications

Related lectures (24)

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Explores handling indeterminate forms in limits through simplification and extracting dominant terms for effective evaluation.

Covers the polar form of complex numbers and its applications in mathematical calculations.

Explores complex numbers, including modulus, conjugation, and Euler formula.

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

Explains the polar form of complex numbers and Euler's formula in the complex plane.

Explores the polar representation of complex numbers and its applications.

Covers the operations and representations of complex numbers, including the Cartesian and polar forms.

Explores holomorphic functions, Cauchy-Riemann conditions, and principal argument values in complex analysis.

Explores the comparison of convergence of improper integrals and the importance of analyzing functions for convergence.

Introduces real function analysis, emphasizing limits and series calculations.