Complex Numbers: Properties and Operations

Related lectures (30)

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Covers the properties and operations of complex numbers and their applications.

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

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the concept of element inverse for multiplication in complex numbers.

Demonstrates how to determine the imaginary part of a complex number.

Explores complex numbers, roots, equations, and polynomial factorization with real coefficients.

Covers the extension of the logarithm to complex numbers and explores the relationship with trigonometric functions.

Discusses methods for solving differential equations, focusing on undetermined coefficients and variation of constants.

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Discusses integration techniques, focusing on integration by parts and substitution methods, with practical examples and theoretical insights.