what are imaginary numbers used for

The Real World Uses of Imaginary Numbers

16:49

The Real World Uses of Imaginary Numbers
10 - What are Imaginary Numbers?

38:00

10 - What are Imaginary Numbers?
Imaginary Numbers - Basic Introduction

14:12

Imaginary Numbers - Basic Introduction
Imaginary Numbers Are Real [Part 1: Introduction]

5:47

Imaginary Numbers Are Real [Part 1: Introduction]
Introduction to i and imaginary numbers | Imaginary and complex numbers | Precalculus | Khan Academy

5:20

Introduction to i and imaginary numbers | Imaginary and complex numbers | Precalculus | Khan Academy
How Imaginary Numbers Were Invented

23:29

How Imaginary Numbers Were Invented
Imaginary Numbers Are Real [Part 13: Riemann Surfaces]

13:49

Imaginary Numbers Are Real [Part 13: Riemann Surfaces]
Imaginary Numbers, Functions of Complex Variables: 3D animations.

14:34

Imaginary Numbers, Functions of Complex Variables: 3D animations.
Imaginary Numbers Are Real [Part 7: Complex Multiplication]

4:25

Imaginary Numbers Are Real [Part 7: Complex Multiplication]
Imaginary Numbers Are Real [Part 10: Complex Functions]

7:29

Imaginary Numbers Are Real [Part 10: Complex Functions]
Introduction to complex numbers | Imaginary and complex numbers | Algebra II | Khan Academy

4:39

Introduction to complex numbers | Imaginary and complex numbers | Algebra II | Khan Academy
Simplify Expressions Including Imaginary Numbers

13:49

Simplify Expressions Including Imaginary Numbers
Imaginary Numbers Are Real [Part 8: Math Wizardry]

4:40

Imaginary Numbers Are Real [Part 8: Math Wizardry]
Imaginary Numbers Are Just Regular Numbers

9:02

Imaginary Numbers Are Just Regular Numbers
How Imaginary Numbers Make Real Physics Easier to Understand

16:17

How Imaginary Numbers Make Real Physics Easier to Understand
Imaginary Numbers Are Real [Part 6: The Complex Plane]

3:38

Imaginary Numbers Are Real [Part 6: The Complex Plane]
Imaginary Numbers Are Real [Part 9: Closure]

5:41

Imaginary Numbers Are Real [Part 9: Closure]
Imaginary Numbers Are Real [Part 4: Bombelli's Solution]

2:57

Imaginary Numbers Are Real [Part 4: Bombelli's Solution]
Imaginary Numbers Are Real [Part 3: Cardan's Problem]

4:42

Imaginary Numbers Are Real [Part 3: Cardan's Problem]
What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational

9:00

What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
Imaginary Numbers Are Real [Part 11: Wandering in 4 Dimensions]

7:47

Imaginary Numbers Are Real [Part 11: Wandering in 4 Dimensions]
Mathematicians Use Numbers Differently From The Rest of Us

33:06

Mathematicians Use Numbers Differently From The Rest of Us
Understanding Imaginary Numbers | BetterExplained

14:23

Understanding Imaginary Numbers | BetterExplained
Imaginary Numbers || Basic Concept

3:18

Imaginary Numbers || Basic Concept
Simplifying Complex Imaginary Numbers - SAT Math Part 15

8:16

Simplifying Complex Imaginary Numbers - SAT Math Part 15
Imaginary Numbers Explained Bob Ross Style

11:23

Imaginary Numbers Explained Bob Ross Style
Imaginary Numbers Are Real [Part 2: A Little History]

5:16

Imaginary Numbers Are Real [Part 2: A Little History]
Complex Numbers are Awesome

3:46

Complex Numbers are Awesome
Multiplying complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy

5:32

Multiplying complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy
Algebra 2 - How to simplify the a radical with imaginary numbers, root(-45)

2:03

Algebra 2 - How to simplify the a radical with imaginary numbers, root(-45)
Subtracting complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy

3:51

Subtracting complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy
15 - Complex Numbers & the Complex Plane

32:57

15 - Complex Numbers & the Complex Plane
How To Determine The Number of Real and Imaginary Solutions Using The Discriminant Equation

11:15

How To Determine The Number of Real and Imaginary Solutions Using The Discriminant Equation
Complex Numbers - Basic Operations

1:23:36

Complex Numbers - Basic Operations
Introduction to Imaginary Numbers | Number System

5:29

Introduction to Imaginary Numbers | Number System
Ex 3: Multiply Complex Numbers

4:29

Ex 3: Multiply Complex Numbers
Introduction To Imaginary Numbers

8:52

Introduction To Imaginary Numbers
Understanding and Working with Imaginary Numbers

14:51

Understanding and Working with Imaginary Numbers
Graphing Complex Numbers

1:51

Graphing Complex Numbers
The Useless Number - Numberphile

7:42

The Useless Number - Numberphile
What are the types of numbers | real vs imaginary | rational & irrational | Zero Math

17:30

What are the types of numbers | real vs imaginary | rational & irrational | Zero Math
Powers of complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy

6:24

Powers of complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy
Complex conjugates | Imaginary and complex numbers | Precalculus | Khan Academy

8:04

Complex conjugates | Imaginary and complex numbers | Precalculus | Khan Academy
01 - What are Complex & Imaginary Numbers? Learn to Solve Problems with Complex Numbers.

40:16

01 - What are Complex & Imaginary Numbers? Learn to Solve Problems with Complex Numbers.
Why are [ IMAGINARY ] and [ COMPLEX ] numbers needed in real world | The PhD Tutor

6:57

Why are [ IMAGINARY ] and [ COMPLEX ] numbers needed in real world | The PhD Tutor
Imaginary Number is important for Electrical engineering

9:25

Imaginary Number is important for Electrical engineering
Absolute value of a complex number | Imaginary and complex numbers | Precalculus | Khan Academy

3:33

Absolute value of a complex number | Imaginary and complex numbers | Precalculus | Khan Academy
Common Core Algebra II.Unit 9.Lesson 1.Imaginary Numbers

23:55

Common Core Algebra II.Unit 9.Lesson 1.Imaginary Numbers
COMPLEX NUMBER | ENGINEERING MATHS | S-1 | FIRST YEAR | MUMBAI UNIVERSITY | SAURABH DAHIVADKAR

30:21

COMPLEX NUMBER | ENGINEERING MATHS | S-1 | FIRST YEAR | MUMBAI UNIVERSITY | SAURABH DAHIVADKAR
Visualizing quaternions (4d numbers) with stereographic projection

31:51

Visualizing quaternions (4d numbers) with stereographic projection
Adding complex numbers and Argand Diagrams | Precalculus | Khan Academy

4:39

Adding complex numbers and Argand Diagrams | Precalculus | Khan Academy
COMPLEX NUMBER | ENGINEERING MATHS | S-2 | FIRST YEAR | MUMBAI UNIVERSITY | SAURABH DAHIVADKAR

1:10:16

COMPLEX NUMBER | ENGINEERING MATHS | S-2 | FIRST YEAR | MUMBAI UNIVERSITY | SAURABH DAHIVADKAR
Why do Electrical Engineers use imaginary numbers in circuit analysis?

13:08

Why do Electrical Engineers use imaginary numbers in circuit analysis?
Imaginary roots of negative numbers | Imaginary and complex numbers | Precalculus | Khan Academy

4:04

Imaginary roots of negative numbers | Imaginary and complex numbers | Precalculus | Khan Academy
Complex conjugates example | Imaginary and complex numbers | Precalculus | Khan Academy

4:01

Complex conjugates example | Imaginary and complex numbers | Precalculus | Khan Academy
Imaginary Numbers Are Not Imaginary | Jeff O'Connell | TEDxOhloneCollege

10:04

Imaginary Numbers Are Not Imaginary | Jeff O'Connell | TEDxOhloneCollege
The Origins of Imaginary Numbers

5:30

The Origins of Imaginary Numbers
Plotting complex numbers on the complex plane | Precalculus | Khan Academy

1:14

Plotting complex numbers on the complex plane | Precalculus | Khan Academy
Realize to Find Real and Imaginary parts of Complex Number

4:45

Realize to Find Real and Imaginary parts of Complex Number
Ex: Simplify Imaginary and Complex Numbers

3:13

Ex: Simplify Imaginary and Complex Numbers