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Chaos, Fractals and Dynamics: Computer Experiments in Mathematics, Robert L. Devaney
This video introduces mathematicians, students and teachers to the exciting mathematical topics of chaos, fractals and dynamical systems. Robert L. Devaney describes the underlying mathematical concepts and presents amazing computer animations.
Переглядів: 12 828

Відео

The Beauty and Complexity of the Mandelbrot Set, John H. Hubbard
Переглядів 2,7 тис.7 років тому
In this video lecture, Prof. John H. Hubbard explains the origin and significance of the Mandelbrot set, one of the most important mathematical discoveries of the last century. Hubbard describes how the Mandelbrot set arose from the discovery of Julia and Fatou sets through the process of iterating the quadratic function on the complex plane.
The Art of Renaissance Science: Galileo and Perspective, Joseph W. Dauben
Переглядів 1,5 тис.7 років тому
Prof. Joseph W. Dauben discusses the life of Galileo, the origin of perspective drawing and the interaction of art and science in the Renaissance. His presentation includes dozens of artworks and recreations of experiments.
Introducing Mathematica, Stephen Wolfram
Переглядів 67 тис.7 років тому
In this 1989 video presentation, Mathematica (TM) creator Stephen Wolfram demonstrates his award winning mathematics software. Wolfram demonstrates numerical calculations, algebraic calculation and graphical renderings. He concludes with a discussion of programming.
Natural Minimal Surfaces Via Theory and Computation, David Hoffman
Переглядів 1,3 тис.7 років тому
Prof. David Hoffman presents current research in the mathematical theory of minimal surfaces. His lecture is illustrated with animated computer graphics of newly discovered surfaces.
Transition to Chaos: The Orbit Diagram and the Mandelbrot Set, Robert L. Devaney
Переглядів 2,7 тис.7 років тому
In this video lecture by Prof. Robert L. Devaney, the mathematical structures known as the Orbit Diagram and the Mandelbrot set are explained and illustrated. This video constitute an introduction to chaos theory and complex analytic dynamics.

КОМЕНТАРІ

  • @bariselem7097
    @bariselem7097 7 днів тому

    Why use matlab?

  • @sciencemathematics
    @sciencemathematics 23 дні тому

    What a treasure

  • @cuadernoazul5958
    @cuadernoazul5958 Місяць тому

    amazing

  • @bobafett9596
    @bobafett9596 Місяць тому

    Very VHS- ssy

  • @user-dv8ym8ry9g
    @user-dv8ym8ry9g 2 місяці тому

    WOW. This video will go down in the history of computing.

  • @bertsierra
    @bertsierra 3 місяці тому

    I just spent most of last night and today recording a commentary examining what MMA 1 expressions in this 1989 demo by Stephen Wolfram still work today in Mathematica 13.2.0 (though I know MMA 14.0.0 is most current, I can’t run it for technical reasons). Pretty much everything except eight expressions run today without modification of any sort. So for example, there is a Plot3D with a call to an HSBColor function that was included on the original floppies in a package file named Colors.m. But I can figure out from the context and from knowing the HSBColor (hue, saturation, brightness) to RGBColor (linear additive red, green, blue) spaces. So while you can’t express it that way you can get the same thing.by building your own function. But then the form of Plot3D that is being used is basically Plot3D[ {heightFunction, colorFunction} ] which isn’t supported today. You need to rewrite this as follows with a colorFunction that accepts three formal parameters for x, y, z (not a list of three variables, but three formal parameters): Plot3D[ heightFunction, ColorFunction->colorFunction, {x, 0, -2Pi}, {y, 0, 2Pi) ] After much fiddling I got this type of expression to work, defining the color function using Wolfram’s original trig in the first item within the HSBColor as this option: ColorFunction->Hue[…trig expr on x,y…] &. The darn thing plots now but the colors don’t seem to correspond to what MMA 1 displayed. I’ve given up for the moment trying to get the colors to match… but they’re wildly different and not likely a lighting effect. I call that the “Holy Grail Plot” since as yet I’ve been unable to reproduce that plot yet no matter what I’ve tried. And then the other five or six places where things don’t work are fairly simple, though interesting. - for which there are easy workarounds Going in to this effort, I thought all of the Mathematica 1 expressions which weren’t tied to external packages from Colors.m and Polyhedra.m would run today, but that’s not quite the case. Still extraordinary from a software engineering standpoint to have such revolutionary software stand the time and still accept all but six or seven expressions today on modern versions, operating systems, and live typesetting and 3D rotations of functions at high resolutions (GPUs built in rather than requiring specialized hardware). I’m very excited to have recorded this video today, and will see if I can contact the Science Television Company to see to what extent I can refer to their video without infringing on their copyrights. Certainly using a few still frames from their video while commenting on the math and many of the technical details shouldn’t be considered infringement, and I don’t plan to sell my video but just to post it to UA-cam as a “deep dive” into the details of this demo. ChatGPT 3 seems to think this company is here… a starting point for me. Science Television Company email: admin@scitv.com Phone: (917) 593-2537 Mailing address: 460 W 24th St. #3a, New York, NY 10011 …and there is also a satellite office located in Boulder, CO which may still be in business, it would seem. The website doesn’t seem to work well, so maybe their out of business, but I’ll try the emails GPT-3 seems to believe exist.

  • @Tadesan
    @Tadesan 6 місяців тому

    Shirk was a madman.

  • @DinHamburg
    @DinHamburg 9 місяців тому

    who is that long haired hippie?

  • @jondor654
    @jondor654 9 місяців тому

    Fascinating glimpse from the early turns on one road less travelled

  • @davideaccorsi5637
    @davideaccorsi5637 10 місяців тому

    The difference in intelligence beween prof. Wolfram and me is calculated by Mathematica here: 2:08

    • @jondor654
      @jondor654 9 місяців тому

      Same here. Well he is a mighty exponent

  • @JonathanPikmin
    @JonathanPikmin 11 місяців тому

    I spent an hour watching this when I could have learned how to turn a sphere inside-out.

  • @budiardjo6610
    @budiardjo6610 11 місяців тому

    this is really cool, how he could optimizecomputational software with limited hardware in 1989?

  • @micc6462
    @micc6462 Рік тому

    Eh ?

  • @kenw8875
    @kenw8875 Рік тому

    John Bonham. John Henry Bonham. Moby Dick Dick!

  • @exmodule6323
    @exmodule6323 Рік тому

    The Mother of All Demos

  • @exmodule6323
    @exmodule6323 Рік тому

    Maybe AI and the Wolfram Language can one day restore the good professor’s hair

  • @adamkadmon6339
    @adamkadmon6339 Рік тому

    I tell you, this stuff will be the future.

  • @paulussantosociwidjaja4781

    Thank you for this video to learn. The face here is more familiar than in other videos Thanks GOD for Stephen Wolfram.

  • @eilo7400
    @eilo7400 Рік тому

    I LOVE MATH SO MUCH IM SO FERAL OVER THIS VIDEO AAAAAAAAA

  • @CandidDate
    @CandidDate Рік тому

    You mean God had an infinite amount of time, yet He cuts corners to simulate this reality?

  • @ChannelMath
    @ChannelMath Рік тому

    haha he had a beard?

  • @benzflynn
    @benzflynn Рік тому

    Too loud, explains one piece of math jargon with something still more jargonized.

  • @swagatochatterjee7104
    @swagatochatterjee7104 Рік тому

    Holy! He wasn't bald and clean shaven!

  • @richardjblackman
    @richardjblackman Рік тому

    I remember spending almost a whole day solving some integrals for my degree. I never knew about mathematica, could've helped me check some of those integration by parts problems.

  • @tengs_penkwe
    @tengs_penkwe Рік тому

    impressive

  • @arielshikoba1857
    @arielshikoba1857 Рік тому

    Math is Beauty Beauty is Math 😍

  • @NightmareCourtPictures
    @NightmareCourtPictures Рік тому

    Let’s all pay some respect to Wolframs epic chad beard.

  • @susanavaldemar4232
    @susanavaldemar4232 Рік тому

    Hello good evening, I am trying to solve the following logarithm with wolfram mathematica but I can't get the program to give me a solution: Log2[X = 6] is 64 but I can't get the program to give me that solution, how do I do it as is the syntax that should i put??

  • @Fractals707
    @Fractals707 2 роки тому

    Great Mathematician Prof.R. Devaney, your works in complex dynamics , Mandelbrot, Juila sets are greatest , with books that clearly describes the cycles of complex variable (i*2*pi*theta)

  • @angrygary122
    @angrygary122 2 роки тому

    That's hillarious!Looking back :))))))) I can already see his thinking

  • @rfengr00
    @rfengr00 2 роки тому

    What computer was this running on?

  • @gonzalomorenoandonaegui2052
    @gonzalomorenoandonaegui2052 2 роки тому

    Thank you for sharing this 🐚🌿🌀

  • @NonTwinBrothers
    @NonTwinBrothers 2 роки тому

    tfw the first spelling error is on the opening screen

  • @alepatrik3777
    @alepatrik3777 2 роки тому

    he never changed <3 :D

  • @lowkaivuan
    @lowkaivuan 2 роки тому

    And the rest is history, .

  • @johnhammer8668
    @johnhammer8668 2 роки тому

    What is the computer and operating system its running on ?

  • @NonTwinBrothers
    @NonTwinBrothers 2 роки тому

    Non-math people will never understand the genius this man always has been

  • @ManishKumar-xx7ny
    @ManishKumar-xx7ny 2 роки тому

    hair vs no hair

  • @TheFinalRevelation2
    @TheFinalRevelation2 2 роки тому

    A rare super genius .. .or perhaps a time traveler

  • @vincei4252
    @vincei4252 2 роки тому

    Stephen still sounds exactly the same today as I listen to him talk about the future of Arrays in Mathematica on Twitch right now.

  • @farerse
    @farerse 2 роки тому

    what computer is he using? a PC 286 ?

  • @johnnisshansen
    @johnnisshansen 2 роки тому

    He is very clear and even 30+ years ago iMathematica seems pretty adwanced and usefull

  • @carlosgarza31
    @carlosgarza31 2 роки тому

    1989 I was wondering why my rasperry pi was solving equations faster then his computer.

  • @katewhite7454
    @katewhite7454 2 роки тому

    він такий смішний

  • @PhysicsNative
    @PhysicsNative 2 роки тому

    Nice artwork. Complexity is not the word to describe these dynamics. Can such dynamics derived from simple rules describe the brain? No. These are tools to understand stability and chaos in toy mathematical systems, and to produce nice artwork.

  • @lerdi
    @lerdi 3 роки тому

    21:32 Calculus 28:08 Graphics 39:56 Programming 51:30 External Interaction

    • @bertsierra
      @bertsierra 3 місяці тому

      Thanks for that roadmap!

  • @brendawilliams8062
    @brendawilliams8062 3 роки тому

    161111111. Is that where you are varying

  • @brendawilliams8062
    @brendawilliams8062 3 роки тому

    Thankyou. Much appreciated.

  • @brendawilliams8062
    @brendawilliams8062 3 роки тому

    How many are going to St. Ives.

  • @brendawilliams8062
    @brendawilliams8062 3 роки тому

    Thx.