Podcasts about complex numbers

Element of a number system in which –1 has a square root

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Best podcasts about complex numbers

Latest podcast episodes about complex numbers

StarTalk Radio
The Language of the Universe with Grant Sanderson (3blue1brown)

StarTalk Radio

Play Episode Listen Later May 20, 2025 55:57


Why can't you divide by zero? Neil deGrasse Tyson and Chuck Nice discuss higher dimensions, dividing by zero, and math's unsolved questions with math YouTuber Grant Sanderson (3blue1brown).NOTE: StarTalk+ Patrons can listen to this entire episode commercial-free here:https://startalkmedia.com/show/the-language-of-the-universe-with-grant-sanderson-3blue1brown/Thanks to our Patrons Nicolas Alcayaga, Ryan Harris, Ken Carter, Ryan, Marine Mike USMC, VARD, Mile Milkovski, Gideon Grimm Gaming, Shams.Shafiei, Ben Goldman, Zayed Ahmed, Matt Nash, Stardust Detective, Leanice, morgoth7, Mary O'Hara, David TIlley, Eddie, Adam Isbell-Thorp. Armen Danielyan, Tavi, Matthew S Goodman, Jeremy Brownstein, Eric Springer, Viggo Edvard Hoff, Katie, Kate Snyder, Jamelith, Stanislaw, Ringo Nixon, Barbara Rothstein, Mike Kerklin, Wenis, Ron Sonntag, Susan Brown, Anti alluvion, Basel Dadsi, LoveliestDreams, Jenrose81, Raymond, David Burr, Shadi Al Abani, Bromopar, Zachary Sherwood, VP, Southwest Virginia accountability, Georgina Satchell, Nathan Arroyo, Jason Williams, Spencer Bladow, Sankalp Shinde, John Parker, Edward Clausen Jr, William Duncanson, Mark, and Dalton Evans for supporting us this week. Subscribe to SiriusXM Podcasts+ to listen to new episodes of StarTalk Radio ad-free and a whole week early.Start a free trial now on Apple Podcasts or by visiting siriusxm.com/podcastsplus.

Mathematics Simplified
NUMBER SYSTEMS IX - Complex Numbers | Mathematics Simplified

Mathematics Simplified

Play Episode Listen Later Nov 11, 2024 10:53


In this episode of Mathematics Simplified, we dive into the world of complex numbers! Join us as we break down what complex numbers are, why they're important, and how they're used in mathematics and beyond. We'll explain the basic form of a complex number and walk through simple operations like addition and multiplication. Plus, we'll cover key concepts like the conjugate and modulus of a complex number. Whether you're new to complex numbers or just need a refresher, this episode is designed to make these concepts clear and approachable!

The Nonlinear Library
LW - An Introduction To The Mandelbrot Set That Doesn't Mention Complex Numbers by Yitz

The Nonlinear Library

Play Episode Listen Later Jan 17, 2024 11:04


Welcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: An Introduction To The Mandelbrot Set That Doesn't Mention Complex Numbers, published by Yitz on January 17, 2024 on LessWrong. Note: This post assumes you've heard of the Mandelbrot set before, and you want to know more about it, but that you find imaginary and complex numbers (e.g. the square root of negative one) a bit mystifying and counterintuitive. Instead of helping you understand the relevant math like a reasonable person would, I'm just going to pretend the concept doesn't exist, and try to explain how to generate the Mandelbrot set anyway. My goal is for this post to (theoretically) be acceptable to the historical René Descartes, who coined the term "Imaginary number" because he did not believe such things could possibly exist. I hereby formally invite you to a dance. Since we're (presumably) both cool, hip people, let's go with a somewhat avant-garde dance that's popular with the kids these days. I call this dance the Mandelbrot Waltz, but you can call it whatever you'd like. This dance follows very simple rules, with the quirk that your starting location will influence your part in the dance. You will unfortunately be cursed to dance forever (there's always a catch to these dance invitations!), but if you ever touch the edges of the dance floor, the curse will be lifted and your part in the dance ends, so it's really not all that bad... In case you don't already know the moves, I'll describe how to do the dance yourself (if given an arbitrary starting point on the dance floor) step-by-step. How To Perform The Mandelbrot Waltz: A Step-By-Step Guide Preparation: You will need: Yourself, an empty room, and a drawing tool (like chalk or tape). Setup: Draw a line from the center of the room to the nearest part of the wall, like so: Now, draw a circle around the room's center, such that it intersects the "orienting line" halfway through. It should look something like this: Starting Position: Choose a starting point anywhere you want in the room. Remember this position - or jot it down on a notepad if your memory is bad - for later. Step 1 - Rotation Doubling: Imagine a line connecting your current position to the center of the circle: Find the orienting line we drew on the floor earlier, and measure, counterclockwise, the angle between it and your new imaginary line. Rotate yourself counterclockwise by that same angle, maintaining your distance from the center, like so: It's okay if you end up making more than a full 360° rotation, just keep on going around the circle until you've doubled the initial angle. For example (assuming the red point is your original position, and the black point is where you end up): It should be intuitively clear that the further counterclockwise your starting point is from the orienting line, the further you'll travel. In fact, if your starting point is 360° from the orienting line--meaning you start off directly on top of it--doubling your angle will lead you 360° around the circle and right back to where you started. And if you have a lot of friends doing Step 1 at the same time, it will look something like this: Step 2 - Distance Adjustment: Imagine a number line, going from 0 onward: Take the number line, and imagine placing it on the floor, so that it goes from the center of the room towards (and past) you. The end of the line marked with number 0 should be at the center of the room, and the number 1 should land on the perimeter of the circle we drew. It should look something like this: Note the number on the number line that corresponds to where you're standing. For instance, if you were standing on the red dot in the above example, your current number value would be something like 1.6 or so. (I totally didn't cheat and find that number by looking at my source code.) Now, take that number, and square it (a.k.a. multiply that n...

The Nonlinear Library: LessWrong
LW - An Introduction To The Mandelbrot Set That Doesn't Mention Complex Numbers by Yitz

The Nonlinear Library: LessWrong

Play Episode Listen Later Jan 17, 2024 11:04


Link to original articleWelcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: An Introduction To The Mandelbrot Set That Doesn't Mention Complex Numbers, published by Yitz on January 17, 2024 on LessWrong. Note: This post assumes you've heard of the Mandelbrot set before, and you want to know more about it, but that you find imaginary and complex numbers (e.g. the square root of negative one) a bit mystifying and counterintuitive. Instead of helping you understand the relevant math like a reasonable person would, I'm just going to pretend the concept doesn't exist, and try to explain how to generate the Mandelbrot set anyway. My goal is for this post to (theoretically) be acceptable to the historical René Descartes, who coined the term "Imaginary number" because he did not believe such things could possibly exist. I hereby formally invite you to a dance. Since we're (presumably) both cool, hip people, let's go with a somewhat avant-garde dance that's popular with the kids these days. I call this dance the Mandelbrot Waltz, but you can call it whatever you'd like. This dance follows very simple rules, with the quirk that your starting location will influence your part in the dance. You will unfortunately be cursed to dance forever (there's always a catch to these dance invitations!), but if you ever touch the edges of the dance floor, the curse will be lifted and your part in the dance ends, so it's really not all that bad... In case you don't already know the moves, I'll describe how to do the dance yourself (if given an arbitrary starting point on the dance floor) step-by-step. How To Perform The Mandelbrot Waltz: A Step-By-Step Guide Preparation: You will need: Yourself, an empty room, and a drawing tool (like chalk or tape). Setup: Draw a line from the center of the room to the nearest part of the wall, like so: Now, draw a circle around the room's center, such that it intersects the "orienting line" halfway through. It should look something like this: Starting Position: Choose a starting point anywhere you want in the room. Remember this position - or jot it down on a notepad if your memory is bad - for later. Step 1 - Rotation Doubling: Imagine a line connecting your current position to the center of the circle: Find the orienting line we drew on the floor earlier, and measure, counterclockwise, the angle between it and your new imaginary line. Rotate yourself counterclockwise by that same angle, maintaining your distance from the center, like so: It's okay if you end up making more than a full 360° rotation, just keep on going around the circle until you've doubled the initial angle. For example (assuming the red point is your original position, and the black point is where you end up): It should be intuitively clear that the further counterclockwise your starting point is from the orienting line, the further you'll travel. In fact, if your starting point is 360° from the orienting line--meaning you start off directly on top of it--doubling your angle will lead you 360° around the circle and right back to where you started. And if you have a lot of friends doing Step 1 at the same time, it will look something like this: Step 2 - Distance Adjustment: Imagine a number line, going from 0 onward: Take the number line, and imagine placing it on the floor, so that it goes from the center of the room towards (and past) you. The end of the line marked with number 0 should be at the center of the room, and the number 1 should land on the perimeter of the circle we drew. It should look something like this: Note the number on the number line that corresponds to where you're standing. For instance, if you were standing on the red dot in the above example, your current number value would be something like 1.6 or so. (I totally didn't cheat and find that number by looking at my source code.) Now, take that number, and square it (a.k.a. multiply that n...

Agape Podcast
2023.02.19 - Grasshopper Complex - Numbers 13

Agape Podcast

Play Episode Listen Later Feb 20, 2023 19:44


2023.02.19 - Grasshopper Complex - Numbers 13:1-2, 17-20, 26-28, 32-33  - Michael Mills, Pastor - Agape Baptist Church - Fort Worth, Texas

Morning Inspiration With Pastor Walt
The Grasshopper Complex | Numbers 13:25-33 & Numbers 14:1-4

Morning Inspiration With Pastor Walt

Play Episode Listen Later Dec 22, 2022 32:45


Welcome to Morning Inspiration With Pastor Walt! Start your day with encouragement from The Word Of God!Partner With Chosen City Church:https://www.chosencitychurch.com/partner-with-usSupport Chosen City Church:https://www.chosencitychurch.com/givePodcasts and More:https://linktr.ee/chosencitychurchConnect With Chosen City Church:Website: https://chosencitychurch.comInstagram: @ChosenCityChurchYouTube: Chosen City ChurchFacebook: Chosen City Church

The UIUC Talkshow
#16 - Arya Desai: Astrophysics, Crying, and Neil deGrasse Tyson

The UIUC Talkshow

Play Episode Listen Later Aug 2, 2022 83:56


Arya Desai studies Astrophysics at UIUC and is incredibly talented at explaining science concepts. EPISODE LINKS: Arya Desai's LinkedIn: https://www.linkedin.com/in/arya-desai-36b962220 Arya Desai's Instagram https://www.instagram.com/desai_arya/?hl=en OUTLINE: 0:00 - Introduction 1:18 - Cosmic Neutrino Background 4:30 - The Standard Model & Subatomic Particles 8:25 - Physics Stagnation? 13:20 - How to excite people about physics 15:48 - Jobs as a physics major 18:10 - Simulation hypothesis 23:40 - Free will 28:30 - Untestable Hypotheses 31:10 - New Math, Complex Numbers, and Darwinism 46:40 - Sadness 52:05 - Big TV, Hedge Funds, Doing What You Actually Want 1:02:22 - Climate change 1:09:55 - Crying 1:14:28 - Advice for young people

EEVblog
EEVblog 1470 – AC Basics Tutorial Part 3 – Complex Numbers are EASY

EEVblog

Play Episode Listen Later Apr 30, 2022 24:27


Complex numbers are NOT complex! How complex numbers are used in AC circuit analysis. 00:00 – Complex Numbers 00:44 – Phasor graphical addition 01:22 – Why do calculators have the R-P and P-R buttons? 02:44 – Phasor diagram 03:59 – The AC voltage equation 04:47 – The complex plane and j vs i imaginary axis ...

In Our Spare Time
Number Systems

In Our Spare Time

Play Episode Listen Later Oct 28, 2021 75:28


Jan-Willem Prügel questions three Oxford mathematicians about the mythical entities known as numbers. What are they? And perhaps even more importantly, why are they? Show notes: https://media.podcasts.ox.ac.uk/ball/in_our_spare_time/sparetimes-number-systems-show-notes.pdf

In Our Spare Time
Number Systems (Other Resource)

In Our Spare Time

Play Episode Listen Later Oct 28, 2021


Jan-Willem Prügel questions three Oxford mathematicians about the mythical entities known as numbers. What are they? And perhaps even more importantly, why are they? Show notes: https://media.podcasts.ox.ac.uk/ball/in_our_spare_time/sparetimes-number-systems-show-notes.pdf

The Real Python Podcast
Exploring the functools Module and Complex Numbers in Python

The Real Python Podcast

Play Episode Listen Later Jul 9, 2021 55:25


Are you ready to expand your Python knowledge into the intermediate to advanced territory? What tools are awaiting your discovery inside Python's functools module? This week on the show, David Amos is back, and he's brought another batch of PyCoder's Weekly articles and projects.

Cassiopeia Station
Viktor Argonov and the project "Complex Numbers" - We, XXII century

Cassiopeia Station

Play Episode Listen Later Sep 18, 2020 24:01


«We, 22nd Century» Album: Part 1. Years will pass Part 2. You dreamed Part 3. Air of dreams Part 4. You are one in the world p & c 2018 NEANE Records release date: October 6, 2018 duration: 24 '03" style: electronica, trance, techno, synth pop, 8 bit, Russian pop with smart lyrics catalog number: NR-2037 The fourth album of the project " Complex Numbers | / "Complex Numbers". A story about a man of the XX century who got into the XXII century through cryofreezing. The new society considers itself a utopia and a Paradise on Earth. But from the point of view of the values of the XX century, it also has a dystopian feature: the destruction of the concept of personality and individuality. And so deep and cunningly grounded that Zamyatin, Huxley and Orwell smoke on the sidelines. Music: Andrey Klimkovsky, Viktor Argonov. Text, arrangement: Viktor Argonov. Vocals: Len, Ariel. http://neane.ru/ --- Send in a voice message: https://anchor.fm/podcast-cd8c8e8/message

D Creations - Education, Science, Physics, Audio Books, Teach Learn, Story, Music, Songs, Literature
D Creations - Talk Physics Series - Episode 11 - Fundamentals of Complex Numbers - Mathematics- Science and Arts - Learn Science - Teach Physics - Science Concept Communication

D Creations - Education, Science, Physics, Audio Books, Teach Learn, Story, Music, Songs, Literature

Play Episode Listen Later Jun 30, 2020 4:08


D Creations - Talk Physics Series - Episode 11 - Fundamentals of Complex Numbers - Mathematics- Science and Arts - Learn Science - Teach Physics - Science Concept Communication --- Send in a voice message: https://anchor.fm/d0531/message

Essential Mathematics
Complex Numbers

Essential Mathematics

Play Episode Listen Later Nov 1, 2019 2:42


N W Z Q R

Sean For Science
Episode 0 | Complex Numbers

Sean For Science

Play Episode Listen Later Nov 1, 2019 11:10


The SEAN for SCIENCE Podcast is targeted at a thoughtful, general audience. Our first season, How to Solve the Schrödinger Equation, will offer a physicist's tour of the microscopic. It's my take on a modern introduction to Quantum Mechanics, braided with my own experiences and stories that led to my perspective on the subject. This initial episode, Chapter Zero, looks at a the first necessary but unfamiliar ingredient to our story, the Complex Numbers.

AdExchanger
Complex Numbers

AdExchanger

Play Episode Listen Later Sep 25, 2019 43:46


Complex Networks is reportedly on track for $200 million in revenue this year. In this episode, Baesler provides a deep dive on the company and its portfolio of media brands and events focused on sneaker culture, hip hop and food.

Cassiopeia Station
Victor Argon - 2032. The legend of the unfulfilled future (techno-Opera)

Cassiopeia Station

Play Episode Listen Later Jul 29, 2019 88:52


1 Overture (Instrumental)5:26 2 prologue (narrator's Monologue)2:05 3 Plenum2:31 4 In the stellar vortex of time (storyteller's Aria)3:46 5 Congress 4:42 6 Fruit mixed approach (Aria melenevskaja)2:03 7 Automation (Instrumental)2:33 8 Dogma (narrator's Monologue)0:58 9 Doubts (Aria Milinevsky)1:34 10 angel of new life (Aria Milinevsky)4:59 11 the Fruits of people's love 1:21 12 To the ghostly light (Aria limaeva)3:47 13 Sorry!..0:39. 14 Meetings 2:30 15 200 minutes (storyteller's Aria)3:41 16 Programmers 1:00 17 Two months (storyteller's Aria)1:32 Переворот1 18:31 19 Sleep (Instrumental)4:50 20 Provocation 0:54 21 the Great hour (Aria Milinevsky)1:12 22 Red dawn (Instrumental)3:45 23 Nodes7:19 24 Continuation of yourself (Aria asgu)4:25 25 Inpatient 3:45 26 Night (Instrumental)1:23 27 Unprofitable way (Aria Milinevsky)4:19 28 Election1:37 29 Last fight (Instrumental)2:05 30 epilogue (narrator's Monologue)0:34 31 Winter (storyteller's Aria)5:02 32 Distant light (Vocalise the ASG / limeaway) Artist: Victor Argon Project 2007 electronics Alternative history of the USSR in 2032. Music, lyrics, arrangement: Victor Argon. Guitar parts: Alexander Asinsky. Vocal roles: Vitaly Trofimenko, Ariel, Elena Yakovets. Speech roles: Denis Shamrin, Evgeny grivanov, Andrey Ivanov, Dmitry Gonchar, Sergey Goncharov. The link to the site of the "Complex Numbers" (including Victor Argonov Project) and this album http://complexnumbers.ru/ --- Send in a voice message: https://anchor.fm/podcast-cd8c8e8/message

Cassiopeia Station
Victor Argon - Collection of compositions

Cassiopeia Station

Play Episode Listen Later Jul 29, 2019 35:59


The release of this program included a collection of songs by the Russian music group Complex Numbers (including Victor Argon Project) The link to the site "Complex Numbers" (including the project of Viktor Argonova) and this album http://complexnumbers.ru/ --- Send in a voice message: https://anchor.fm/podcast-cd8c8e8/message

Cassiopeia Station
Victor Argon - Terrestrial attraction

Cassiopeia Station

Play Episode Listen Later Jul 29, 2019 58:31


1.Introduction 01:21 2.Ways of Civilizations (2002 version) 04:17 3.Sunset over Earth 05:39 4.Sunny Rain 04:21 5.Unterwater Tunnel 04:17 6.Running Start 04:13 7.Typhoon 05:34 8.Minbari Snow 05:31 9.Acceleration (1998 version) 03:42 10.Conveyor 04:31 11.In the Flight 03:51 12.Two Systems 06:54 13.Earth's Attraction 04:19 credits released September 18, 2002 The first album Complex Numbers. Music: Frol Zapolsky, Victor Argon, Ilya Pyatov, Alexander Osinski. Text: Victor Argon, Ilya Pyatov. Vocals: Natalia Mitrofanova. The link to the site of the "Complex Numbers" (including Victor Argonov Project) and this album http://complexnumbers.ru/ --- Send in a voice message: https://anchor.fm/podcast-cd8c8e8/message

The Secrets of Mathematics
Oxford Mathematics Student Lectures: An Introduction to Complex Numbers - Vicky Neale

The Secrets of Mathematics

Play Episode Listen Later Jan 22, 2019 50:04


Much is written about life as an undergraduate at Oxford but what is it really like? As Oxford Mathematics's new first-year students arrive (273 of them, comprising 33 nationalities) we thought we would take the opportunity to go behind the scenes and share some of their experiences. Our starting point is a first week lecture. In this case the second lecture from 'An Introduction to Complex Numbers' by Dr. Vicky Neale. Whether you are a past student, an aspiring student or just curious as to how teaching works, come and take a seat.

The Secrets of Mathematics
Oxford Mathematics Student Lectures: An Introduction to Complex Numbers - Vicky Neale

The Secrets of Mathematics

Play Episode Listen Later Jan 22, 2019 50:04


Much is written about life as an undergraduate at Oxford but what is it really like? As Oxford Mathematics's new first-year students arrive (273 of them, comprising 33 nationalities) we thought we would take the opportunity to go behind the scenes and share some of their experiences. Our starting point is a first week lecture. In this case the second lecture from 'An Introduction to Complex Numbers' by Dr. Vicky Neale. Whether you are a past student, an aspiring student or just curious as to how teaching works, come and take a seat.

Bio Radio
Complex Numbers

Bio Radio

Play Episode Listen Later Nov 10, 2017 9:19


This podcast is about Complex Numbers. Christian tells why you need them - actually are Complex Numbers the Gaffa Tape of the Mathematics

Quantum Physics I (2016)
L1.3 Necessity of complex numbers.

Quantum Physics I (2016)

Play Episode Listen Later Jun 21, 2017 7:39


MathsCasts
Division of complex numbers using 2 by 2 matrices (MathsCasts)

MathsCasts

Play Episode Listen Later Mar 1, 2017 7:29


We exploit the analogy between complex numbers and 2 by 2 matrices to perform complex number reciprocals and division.

Programming By Stealth
PBS 19b of x - Solving JavaScript Challenges Part 2

Programming By Stealth

Play Episode Listen Later Aug 17, 2016


In episode #449, Bart Busschots walked us through how he'd solve the first half of the JavaScript challenges from PBS 19. This week we finish the second half of the 5th problem about Complex Numbers. Like the last episode, we're giving you the audio in the podcast, but if you'd like to watch the video of Bart building the solutions, you can see that over on podfeet.com.

Complex numbers
Complex numbers (Part 3)

Complex numbers

Play Episode Listen Later May 13, 2016 12:10


Complex numbers
Complex numbers (Part 2)

Complex numbers

Play Episode Listen Later May 13, 2016 8:33


Complex numbers
Complex numbers (Part 1)

Complex numbers

Play Episode Listen Later May 13, 2016 13:26


The Math Dude Quick and Dirty Tips to Make Math Easier
254 TMD What Are Complex Numbers?

The Math Dude Quick and Dirty Tips to Make Math Easier

Play Episode Listen Later Aug 28, 2015 7:40


What do you get when you put a real and an imaginary number together? A complex number. No, not a complicated number (although it kind of is), we’re talking about an entirely new set of numbers dubbed “complex.” Read the full transcript here: http://bit.ly/1JLrpJk

OCW Scholar: Differential Equations
Complex Numbers and Euler's Formula

OCW Scholar: Differential Equations

Play Episode Listen Later Jul 1, 2015 11:30


A teaching assistant works through a problem on complex numbers and Euler's formula.

Differential Equations, Spring 2006
Lecture 06: Complex numbers and complex exponentials

Differential Equations, Spring 2006

Play Episode Listen Later Jun 29, 2015 45:28


Mathematical skills - Complex numbers
Complex numbers 6 - exponential form

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 11:08


Introduces the exponential form for a complex number and demonstrates how this is consistent with the multiplication/division rules in modulus/argument form as well as interpretations as a scaling/rotation operator.

Mathematical skills - Complex numbers
Complex numbers 7 - square roots

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 15:35


Looks at the computation of square roots using complex number algebra. This uses simple problems to establish an approach to such problem solving which subsequently can be applied to more complex root problems.

Mathematical skills - Complex numbers
Complex numbers 5 - scaling and rotation

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 10:24


Shows how the rules for multiplication/division in modulus/argument form lead to a very useful interpretation of complex numbers as scaling and rotation operators. This is used to solve problems in many engineering scenarios. Obvious typo at 7min 30 where writing uses 110 instead of 100.

Mathematical skills - Complex numbers
Complex numbers 9 - Tutorial sheet

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 16:39


A number of questions for students to test their understanding of the videos in this series followed by worked solutions.

Mathematical skills - Complex numbers
Complex numbers 4 - division

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 14:18


Introduces fast methods of complex number division using the modulus/argument form. Spends sometime 'demonstrating' the vailidity of the result, although viewers could focus on just the result should they choose.

Mathematical skills - Complex numbers
Complex numbers 3 - multiplication

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 16:38


Introduces fast methods of complex number multiplication using the modulus/argument form. Spends sometime 'demonstrating' the vailidity of the result, although viewers could focus on just the result should they choose.

Mathematical skills - Complex numbers
Complex numbers 2 - modulus and argument

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 20:09


Introduces the concepts of modulus and argument. Also spends some time showing how the modulus and argument of conjugates and inverses are related to the orginal complex number.

Mathematical skills - Complex numbers
Complex numbers 1 - the basics

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 17:54


A rapid review of complex numbers as would be covered in introductory lectures. Thus definitions, the Argand diagram, simple multiplication, division and addition and complex conjugates.

Mathematical skills - Complex numbers
Complex numbers 8 - using De Moivre for root computations

Mathematical skills - Complex numbers

Play Episode Listen Later Apr 18, 2014 22:14


Shows how to solve for cube roots, 4th roots and so on of complex numbers. Makes use of De Moivre's Theorem, but the focus is on a simple presentation style which shows why the result works.

Math From Scratch
Complex Numbers and New Algebras

Math From Scratch

Play Episode Listen Later Feb 1, 2014


complex numbers imaginary numbers bureau 42
Math From Scratch
Dropping the Axiom of Inequality

Math From Scratch

Play Episode Listen Later Jan 1, 2014


dropping inequality axiom complex numbers imaginary numbers bureau 42
Complex numbers
Complex numbers (Part 1)

Complex numbers

Play Episode Listen Later Sep 24, 2013 13:04


Complex numbers
Complex numbers (Part 2)

Complex numbers

Play Episode Listen Later Sep 24, 2013 8:10


Complex numbers
Complex numbers (Part 3)

Complex numbers

Play Episode Listen Later Sep 24, 2013 11:49


Intermediate Algebra
Module 11: Use a Graphing Calculator to Divide Complex Numbers

Intermediate Algebra

Play Episode Listen Later Aug 5, 2013 2:13


MathsCasts
Powers of complex numbers (MathsCasts)

MathsCasts

Play Episode Listen Later Jul 9, 2013 5:27


Gives the general formula then applies this to an example. Cartesian form is convert to polar form, then the required power of the number is calculated, and finally the result is converted back into Cartesian form.

MathsCasts
Matrix representation of complex numbers (MathsCasts)

MathsCasts

Play Episode Listen Later May 6, 2013 10:18


We show how complex number arithmetic can be performed using matrices for the complex numbers.

Algebra2
4.6 - Perform Operations with Complex Numbers

Algebra2

Play Episode Listen Later Nov 2, 2012 16:37


Algebra2
4.6 - Perform Operations with Complex Numbers

Algebra2

Play Episode Listen Later Nov 2, 2012 16:37


MathsCasts
Equating complex numbers (MathsCasts)

MathsCasts

Play Episode Listen Later Oct 2, 2012 8:50


The conditions for equality of complex numbers are given. An example of grouping and then equating real and inaginary parts of complex numbers on both sides of an equation to find unknown quantities is then given.

Alg 2 Ch 4 Quadratic Functions
4.6 Add - Subtract Complex Numbers

Alg 2 Ch 4 Quadratic Functions

Play Episode Listen Later Sep 14, 2012 2:49


Alg 2 Ch 4 Quadratic Functions
4.6 division of complex numbers

Alg 2 Ch 4 Quadratic Functions

Play Episode Listen Later Sep 11, 2012 11:53


MATH 103-Blended: College Algebra
Podcast: Complex numbers

MATH 103-Blended: College Algebra

Play Episode Listen Later Sep 4, 2012 24:33


Math 103-College Algebra

OPTI512R - Linear Systems and Fourier Optics
Lecture 1 Notes: Complex Numbers Review and Mathematical Representation of Physical Quantities

OPTI512R - Linear Systems and Fourier Optics

Play Episode Listen Later Aug 21, 2012


For many applications we find that it is much easier to represent our physical quantities in terms of complex numbers rather than just using real numbers alone. The concept of complex numbers comes from the continuation of functions such as square-root and logarithm that only apply to positive numbers in their traditional definitions. Figure 1 shows the function √ x. Other functions like ln x, sinx, etc., also have limits on their arguments, and complex numbers allow us to define these functions over the full range of real numbers.

MathsCasts
Multiplication and division of complex numbers in polar form (MathsCasts)

MathsCasts

Play Episode Listen Later Jun 22, 2012 4:23


The general formulae for multiplication and division of complex numbers in polar form are given and their use is then demonstrated in relation to a particular example

MathsCasts
Complex numbers division (MathsCasts)

MathsCasts

Play Episode Listen Later Feb 22, 2012 6:05


The general principle is explained of how to divide one complex number by another when both numbers are written in Cartesian form, so that the denominator of the final answer is a real number. A specific example of using this process is then given.

MathsCasts
Multiplication of complex numbers in cartesian form (MathsCasts)

MathsCasts

Play Episode Listen Later Jan 19, 2012 3:05


Through an examples shows how to multiply complex numbers introducing the powers if i such as i^2.

MATH 104: Trigonometry - iPod Video
Section 8.4 - De Moivre's Theorem; Powers and Roots of Complex Numbers

MATH 104: Trigonometry - iPod Video

Play Episode Listen Later Jan 9, 2012 8:57


MathsCasts
Addition and Subtraction of complex numbers in cartesian form (Mathscasts)

MathsCasts

Play Episode Listen Later Jan 4, 2012 2:45


Through a couple of examples shows how the addition and subtraction of complex numbers in cartesian form works

MATH 103: College Algebra - pc
1_VI_b_Operations on Complex Numbers Examples II

MATH 103: College Algebra - pc

Play Episode Listen Later Nov 16, 2011 20:59


MATH 103: College Algebra - pc
1_VI_b_Operations on Complex Numbers Examples II

MATH 103: College Algebra - pc

Play Episode Listen Later Nov 16, 2011


MATH 103: College Algebra - pc
1_VI_b_Operations on Complex Numbers Examples I

MATH 103: College Algebra - pc

Play Episode Listen Later Nov 15, 2011


MATH 103: College Algebra - pc
1_VI_b_Operations on Complex Numbers Examples I

MATH 103: College Algebra - pc

Play Episode Listen Later Nov 15, 2011 24:59


MATH 103: College Algebra - pc
1_VI_a_Complex Numbers Examples I

MATH 103: College Algebra - pc

Play Episode Listen Later Nov 13, 2011


MATH 103: College Algebra - pc
1_VI_a_Complex Numbers Examples I

MATH 103: College Algebra - pc

Play Episode Listen Later Nov 13, 2011 7:58


Complex numbers - for iBooks

You may have met complex numbers before, but not had experience in manipulating them. This unit gives an accessible introduction to complex numbers, which are very important in science and technology, as well as mathematics. The unit includes definitions, concepts and techniques which will be very helpful and interesting to a wide variety of people with a reasonable background in algebra and trigonometry. This study unit is just one of many that can be found on LearningSpace, part of OpenLearn, a collection of open educational resources from The Open University. Published in ePub 2.0.1 format, some feature such as audio, video and linked PDF are not supported by all ePub readers.

Differential equations - for iBooks

This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equations which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and some familiarity with complex numbers. This study unit is just one of many that can be found on LearningSpace, part of OpenLearn, a collection of open educational resources from The Open University. Published in ePub 2.0.1 format, some feature such as audio, video and linked PDF are not supported by all ePub readers.

Bite-sized History of Mathematics

Complex Numbers. Get a pdf document on this topic via the website http://www.infj.ulst.ac.uk/~mmccart/hom.htm

The Wizard of Oz: From Fractions to Formulas - for iPad/Mac/PC

Computer generated animations looking at 'Complex Numbers'.

The Wizard of Oz: From Fractions to Formulas - for iPad/Mac/PC

Transcript -- Computer generated animations looking at 'Complex Numbers'.

The Wizard of Oz: From Fractions to Formulas - for iPod/iPhone

Computer generated animations looking at 'Complex Numbers'.

The Wizard of Oz: From Fractions to Formulas - for iPod/iPhone

Transcript -- Computer generated animations looking at 'Complex Numbers'.

Precalc Problems Explained
Trig with Vectors, Complex Numbers, apps (Precalc 6)

Precalc Problems Explained

Play Episode Listen Later Dec 4, 2010


Using the law of sines and cosines, we explor vectors, complex numbers and applications (aka "Word problems").

MATH 051-Blended: Intermediate Algebra
Podcast-6.8 Complex numbers

MATH 051-Blended: Intermediate Algebra

Play Episode Listen Later Sep 13, 2010 24:33


Math 051-Intermediate Algebra

Algebra
Complex Numbers (part 1)

Algebra

Play Episode Listen Later Aug 21, 2010 10:09


Algebra
Complex Numbers (part 2)

Algebra

Play Episode Listen Later Aug 21, 2010 8:57


MATH 104: Trigonometry - iPod Video
Section 8.2 - Polar Form of Complex Numbers

MATH 104: Trigonometry - iPod Video

Play Episode Listen Later Apr 22, 2010 31:02


Is All About Math (Video Podcast)
Complex Numbers continued

Is All About Math (Video Podcast)

Play Episode Listen Later Jun 30, 2008 15:09


Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.

Is All About Math (Video Podcast)

Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.