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Concept

Complex number

Related lectures (28)

Complex Numbers: Properties and Operations

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Complex Numbers: Cartesian Representation MOOC: Analysis I MOOC: Analysis I (part 2) : Introduction to complex numbers

Covers the Cartesian representation of complex numbers and basic operations involving them.

Plasma Instabilities: Case Studies

Analyzes plasma instabilities through case studies, exploring the implications of roots in the complex plane.

Complex Exponential: De Moivre's Formula

Covers De Moivre's formula for finding roots of complex numbers and the concept of complex exponential.

Complex Numbers: Operations and Representations

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

Homogeneous Linear Second-Order Differential Equations

Covers the solution of homogeneous linear second-order differential equations with constant coefficients and explores various cases of real and complex roots.

Complex Numbers: Polar Form

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

Additional Definitions and Basic Properties MOOC: Analysis I MOOC: Analysis I (part 2) : Introduction to complex numbers

Covers additional definitions and basic properties of complex numbers, including conjugate and absolute value.

Complex Numbers: Properties and Applications

Explores properties and applications of complex numbers, including De Moivre's theorem and finding complex roots.

Complex Plane: Introduction and Operations

Introduces the complex plane and its operations, including addition, multiplication, and circle equations.

Complex Numbers: Representations

Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.

Complex Numbers: Operations and Applications

Covers the fundamental operations and applications of complex numbers.

Complex Numbers: Introduction and Properties

Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.

Complex Numbers: Operations and Properties Log in to Mediaspace to watch this video

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

Complex Numbers: Representation and Properties Log in to Mediaspace to watch this video

Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.

Interpolation Spaces Log in to Mediaspace to watch this video

Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.

Complex Numbers: Operations and Polar Form Log in to Mediaspace to watch this video

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Complex Analysis: Holomorphic Functions Log in to Mediaspace to watch this video

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

Complex Numbers: Definitions and Properties Log in to Mediaspace to watch this video

Covers the definitions and properties of complex numbers, including the field of complex numbers, the conjugate, the real and imaginary parts, algebraic form, modulus, and argument.