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Mathematics
Complex Numbers

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Common Core Math - Number & Quantity: High School Standards

Align number and quantity math instruction with Common Core standards through short lessons, quizzes, and practice exams covering rational exponents, measurement, descriptive models, complex numbers, and matrices.
- Study.com
- 4 hours 40 minutes
- On-Demand
- Paid Course
Complex Variables
2 reviews

Explore complex numbers, variables, functions, and the complex plane in this comprehensive mathematical overview.
- YouTube
- 1 hour 18 minutes
- On-Demand
- Free Video
Insights into Mathematics
Complex Numbers and Algebra - Math History - NJ Wildberger

Explore complex numbers' history, applications in cubic equations, and geometric representations. Delve into the Fundamental Theorem of Algebra and its proofs by d'Alembert and Gauss.
- YouTube
- 1 hour 7 minutes
- On-Demand
- Free Video
Insights into Mathematics
The Rotation Problem and Hamilton's Discovery of Quaternions - Famous Math Problems

Explore complex numbers and their connection to plane rotations, laying the groundwork for understanding quaternions and 3D rotations. Emphasizes a logical, algebraic approach without relying on transcendental functions.
- YouTube
- 58 minutes
- On-Demand
- Free Video
Michael Penn
Why Are There No 3 Dimensional "Complex Numbers"?

Explores the mathematical reasons behind the absence of 3D complex numbers, delving into algebra, quaternions, and the limitations of number systems beyond 2D complex planes.
- YouTube
- 37 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Geometric Langlands over F_q

Explore strategies to deduce geometric Langlands conjecture for ℓ-adic sheaves, connecting F_q and complex number theories in advanced mathematics.
- YouTube
- 1 hour 4 minutes
- On-Demand
- Free Video
Professor Leonard
Intermediate Algebra - An Introduction to Operations with Complex Numbers

Explore operations with complex numbers, including addition, subtraction, multiplication, and division, enhancing your understanding of advanced algebraic concepts.
- YouTube
- 1 hour 42 minutes
- On-Demand
- Free Video
Valerio Velardo - The Sound of AI
Complex Numbers for Audio Signal Processing

Explore complex numbers visually for audio signal processing, covering Cartesian and polar representations, Euler's formula, and their application in Fourier transforms.
- YouTube
- 26 minutes
- On-Demand
- Free Video
Michael Penn
Problem Solving - Complex Number Basics

Explore essential complex number techniques for problem-solving contests, covering arithmetic operations, Euler's formula, and nth roots of unity with practical examples.
- YouTube
- 34 minutes
- On-Demand
- Free Video
Steve Brunton
Complex Numbers and Functions

Explore complex numbers, Euler's formula, and functions of Z in engineering mathematics, covering geometric interpretations and convergent Taylor series.
- YouTube
- 49 minutes
- On-Demand
- Free Video
Insights into Mathematics
The True Algebra of Complex Numbers - Via Dihedrons

Exploring complex numbers through Dihedron algebra, offering a fresh perspective on their structure and geometry. Highlights include quadratic inverse algebras and comparisons to Quaternions.
- YouTube
- 28 minutes
- On-Demand
- Free Video
Insights into Mathematics
How to Construct the True Complex Numbers I - Famous Math Problems

Exploring the construction of true complex numbers using field theory and linear algebra, challenging traditional approaches and introducing novel concepts for a modern understanding.
- YouTube
- 37 minutes
- On-Demand
- Free Video
Insights into Mathematics
Complex Numbers and Curves in 19th Century Mathematics

Explore complex numbers, algebraic curves, and their intersection with projective geometry and topology. Discover how these concepts revolutionized 19th-century mathematics and laid the foundation for modern algebraic geometry.
- YouTube
- 58 minutes
- On-Demand
- Free Video
Insights into Mathematics
Complex Numbers in Fourier Series and Quantum Mechanics

Explore complex numbers in harmonic analysis, focusing on the unit circle. Learn about Laplacian operators, harmonic polynomials, and integration theory, with applications to quantum mechanics and physics.
- YouTube
- 33 minutes
- On-Demand
- Free Video
NPTEL-NOC IITM
Real and Complex Number Systems - Lecture 1

Explore real and complex numbers, their properties, and applications in mathematical analysis and problem-solving.
- YouTube
- 25 minutes
- On-Demand
- Free Video

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