Complex Numbers: Algebraic Structure

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Introduction to Complex Numbers

Introduces complex numbers, their representations, formulas, and algebraic equations.

Magnetic Fields and Complex Numbers

Explores magnetic fields from moving charges and the properties of complex numbers.

Complex Numbers: Convergence, Equations, and Exponential Functions

Covers convergence of power series, complex equations, exponential functions, and function properties.

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: Exponential Formulas

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

Fundamental Theorem of Algebra

Covers the Fundamental Theorem of Algebra, complex sequences, convergence, and continuity of functions.

Analytical Extension of Gamma Function

Covers the analytical extension of the Gamma function to real and complex numbers, discussing properties and convergence.

Complex numbers: operations and convergence

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

Sequences: Definitions and Examples

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

Complex Numbers: Introduction and Operations

Covers the introduction and operations of complex numbers in physics and engineering applications.