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Lecture
Complex Numbers: Polar Form and Multiplication
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Complex Numbers: Polar Form
Explores complex numbers in polar form, Euler's formula, and coordinate transformation.
Complex Numbers: Operations and Properties
Covers the representation and properties of complex numbers, including real and imaginary parts and geometric applications.
Complex Numbers: Argument and Polar Method
Introduces the argument of complex numbers and the polar method, demonstrating their application in finding roots.
Complex Numbers: Applications and Representations
Explores the origin, applications, and representations of complex numbers in crystallography and materials science, including their graphical, polar, and exponential forms.
Complex Numbers: Polar Representation
Explores the polar representation of complex numbers and its applications.
Gauss Representation
Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.
Representation of Gauss
Covers the representation of complex numbers and their applications in mathematical transformations.
Complex Numbers: Operations, Polar Form, and Solutions
Covers operations on complex numbers, polar coordinates, and polynomial solutions.
Complex Numbers: Polar Form
Showcases examples of complex numbers in polar form and their operations.
Magnetic Fields and Complex Numbers
Explores magnetic fields from moving charges and the properties of complex numbers.