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Lecture
Complex Numbers: Operations and Properties
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Related lectures (30)
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.
Elementary Properties of Complex Numbers
Covers the elementary properties of complex numbers and how to find real and imaginary parts.
Complex Numbers: Operations and Representations
Explores complex numbers, their operations, and representations in Cartesian and polar forms.
Complex Numbers: Properties and Operations
Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.
Definition of Complex Numbers Field
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Introduces complex numbers and defines their field, emphasizing properties and operations.
Gauss Representation
Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.
Elementary Properties of Complex Numbers
Covers the elementary properties of complex numbers through examples and discusses the regions of the complex plane.
Element Inverse for Multiplication
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the concept of element inverse for multiplication in complex numbers.
Introduction to Quantum Mechanics
Introduces quantum mechanics, covering S-matrix, scattering amplitudes, and optical theorem.
Complex Numbers: Polar Form
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Showcases examples of complex numbers in polar form and their operations.
Complex Numbers: Polar Form
MOOC: Analysis I
MOOC: Analysis I (part 2) : Introduction to complex numbers
Covers the polar form of complex numbers, emphasizing the importance of the argument.
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: Introduction and Properties
Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.
Complex Numbers: Polar Representation
Explores the polar representation of complex numbers and its applications.
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: Operations and Applications
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Covers the properties and operations of complex numbers and their applications.
Complex Numbers and 2x2 Matrices
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Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.
Complex Numbers: Operations and Properties
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Explores complex numbers, including modulus, conjugation, and Euler formula.
Complex Numbers: Polar Form
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Covers the polar form of complex numbers and its applications in mathematical calculations.
Inverse Element for Multiplication
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Covers the inverse element for multiplication and introduces the Euler and Moivre formulas in complex numbers.
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