Complex Numbers: Polar Form

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Complex Numbers: Polar Form

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

Complex numbers: operations and convergence

Covers operations with complex numbers and convergence of functions as x approaches 0.

Complex Numbers: Operations and Properties

Covers the representation and properties of complex numbers, including real and imaginary parts and geometric applications.

Gauss Representation

Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.

Complex Numbers: Polar Form and Multiplication

Covers the polar form of complex numbers and its advantages in multiplication.

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.

Mechanical Construction Basics

Introduces the basics of mechanical construction, focusing on international standards, drawing frameworks, and graphical elements.

Fourier Series: Harmonic Analysis

Covers the Fourier series representation of periodic signals and harmonic analysis.

Complex Numbers: Polar Representation

Explores the polar representation of complex numbers and its applications.

Complex Logarithm: Extension and Polar Form

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