Imaginary Numbers Are Real
Explore the fascinating world of imaginary numbers, from their historical origins to complex functions and Riemann surfaces, in this comprehensive mathematical journey.
Trig & PreCalculus Vol 1
Comprehensive introduction to complex numbers, exponential and logarithmic functions, angles, trigonometric concepts, and graphing, preparing students for advanced mathematical studies.
Algebra 1 - Unit 11
Master quadratic equations: perfect squares, completing the square, quadratic formula, imaginary numbers, and discriminants. Gain essential problem-solving skills for advanced algebra.
Algebra 2 Course - Unit 8
Master advanced algebraic concepts: radicals, complex numbers, and imaginary numbers. Learn to solve equations, simplify expressions, and perform operations in the complex plane.
Algebra 2 Course - Unit 9
Explore quadratic equations through visualization, perfect squares, completing the square, and the quadratic formula. Learn about discriminants and complex roots for a comprehensive understanding.
Intuition for i to the Power i - Lockdown Live Math
Explore the intuition behind i^i through visualizations, explanations, and interactive Q&A. Dive deep into complex exponents, exponential functions, and their geometric interpretations.
Imaginary Interest Rates - Lockdown Live Math
Explore compound interest, e, and their relation to circles in this engaging mathematical journey, connecting complex concepts to real-world applications like springs and rotations.
Complex Number Fundamentals - Lockdown Live Math
Explore the geometry of complex numbers through interactive demonstrations, Python examples, and practical applications in image rotation and angle addition, with engaging visuals and explanations.
Os Números Complexos Existem? - Aula 2
Explore a existência e aplicações dos números complexos em uma aula aprofundada, desvendando seus mistérios e relevância na matemática avançada.
Os Números Complexos Existem? - Aula 1
Explore a existência e aplicações dos números complexos em uma aula abrangente ministrada pelo Prof. Alberto Saa da Unicamp.
Real Numbers
Comprehensive overview of real numbers, covering rational and irrational numbers, integers, and decimals. Includes practice problems and examples for better understanding.
How to Graph Advanced Polar Equations with Symmetry
Learn advanced techniques for graphing polar equations using symmetry, without converting to rectangular form, enhancing efficiency in plotting complex functions.
Problems With the Calculus - Math History - NJ Wildberger
Exploring historical controversies in calculus, including debates on derivatives, integrals, and curves, highlighting critiques from notable figures and ongoing mathematical challenges.
The Natural Log of Imaginary Numbers
Explore the fascinating concept of natural logarithms applied to imaginary numbers, delving into complex analysis and mathematical properties of these unique numerical relationships.
Complex Numbers: Definition, Addition, Subtraction, Multiplication, and Division
Learn to define, add, subtract, multiply, and divide complex numbers with clear examples and explanations of complex number algebra.
Complex Numbers: Argand's Diagram
Explore Argand's Diagram and its application in solving complex number problems, building on previous lessons in the series.
The World Is Not Real - Quantum Mechanics Needs Imaginary Numbers
Explore how imaginary numbers, once controversial in mathematics, are now fundamental to quantum mechanics and our understanding of nature's smallest components.