The Most Advanced Math & Physics

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The Most Advanced Math & Physics

Рет қаралды 22,735

Ай бұрын

This is a very rare book titled Numerical Methods in Fluid Dynamics. It contains a collection of research papers. This book was published by Mir Publishers Moscow.
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Пікірлер: 61

@douglasstrother6584 Ай бұрын

I used "Physical Fluid Dynamics" by D. J. Tritton as an Undergrad; it would be a good compliment to this book.

@TheMathSorcerer Ай бұрын

awesome!

@tabishumaransari Ай бұрын

Great book. I'm a climate scientist and I run climate models which use many such numerical techniques to solve PDEs describing fluid dynamics (the flow of the atmosphere). There are many numerical "schemes" (options) to choose from which have a tradeoff between speed and accuracy. All these techniques were built due to digital computing. Now in the new generation of digital computers, neural-PDEs and their solutions are emerging as a new alternative to these classical numerical schemes.

@johnswolter Ай бұрын

Quantum Computers may help. I read those can already find or solve a route through a maze in a heartbeat, maybe less. So one may look to solve how a maze could be mapped, discovered.

@death_parade Ай бұрын

Thanks. I had no idea about the existence/emergence of Neural PDEs.

@jameswright4732 Ай бұрын

@@johnswolterI've seen and skimmed a few papers regarding merging quantum computing and CFD, but they're all from the perspective of using QC for the linear algebra and the classical computing for the discretization. Not that that's a bad approach, but it'll take awhile before they're able to interface with each other efficiently.

@jameswright4732 Ай бұрын

I'd disagree about neural-PDEs being an alternative (at least not in what I've read). However, I think ML techniques could do a lot for modelling problems in CFD, where we're effectively just fitting the model to data anyways.

@death_parade Ай бұрын

@@jameswright4732 In the brief interval since I've learnt about PINNs (Physics Informed Neural Networks), one lesson by a certain Hong Kong professor has taught me that PINNs are not nearly as data-driven as the average NNs. Although his lecture was on my field, which is Solid Mechanics, not CFD.

@4ctive1 Ай бұрын

i understand nothing about mathematic but ive been subbed to you with notification for so long and i gotta admit i love your passion and dedication about mathematics respect to you man

@TheMathSorcerer Ай бұрын

Awesome! Thank you!

@4ctive1 Ай бұрын

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@homamthewise6941 Ай бұрын

@@4ctive1you can start anywhere you want and go baby steps at a time , believe me there's lot to learn even if you do know a lot it's like a deep sea that gets deeper everytime 😅 ,may Allah give you from his vast knowledge brother inchallah

@4ctive1 Ай бұрын

@@homamthewise6941 thnx brother i understand you

@NewWesternFront 19 күн бұрын

@@4ctive1 lol stealth proselytizer

@daniyalahsen4564 Ай бұрын

For anyone interested in the modern side of Computational ("Numerical") Fluid dynamics, Anderson's Introduction to Computational Fluid Dynamics is an awesome beginner friendly introduction. Nothing else I have read cuts close

@brandontay2053 Ай бұрын

Second this

@faustobarbuto 27 күн бұрын

I would also mention Versteeg & Malalasekera's "An Introduction to Computational Fluid Dynamics: The Finite Volume Method". Hardly any other book can be friendlier to an absolute beginner.

@daniyalahsen4564 27 күн бұрын

@@faustobarbuto I have gone through some of it. It was an absolute joy no doubt but Anderson is still my go to. I guess it just boils down to personal taste😄

@javierfernandoagudelogomez1794 Ай бұрын

Thanks for this video! At 8:47 the intended audience is normall mechanical engineers in postgraduate studies. This topic is typically within the realm of mechanical engineering research. However, science doesn't have an owner, and it's likely that mathematicians and physicists also dedicate themselves to this area. There should be some of them who work in this field as well

@georgesealy4706 Ай бұрын

I had many fluid dynamics and continuum mechanics courses in undergraduate and graduate school. This is an interesting book for 1984. The advent of powerful computers has greatly helped apply theory to engineering solutions. But, LOL, modern-day NASA has more problems putting rockets in space than the engineers did back in the 1960s.

@johnswolter Ай бұрын

The contrast appears overstated. Many new developments occured in the 1950s & 1960s. Most rockets then did misbehave & much was learned. Now, much more is being asked, new technologies are being added, quality standards are being taught to the aerospace industry, everything is a system, & the industry is pushing new technology into every application. Therefore failures are progress. Full speed ahead.

@timsmith9942 8 күн бұрын

As a russian-speaking person, I should admit that all these excellent soviet math books are way more understandable once they are translated into English. Some terms cannot be translated without distorting the idea behind them. I believe this selective terminological lingual isolation is the reason why these books are so great. Guys had to start from the fundamentals description every time to avoid misunderstanding. My favorite example is "wavelet" which had back then at least five different translations.

@johnswolter Ай бұрын

I'd suggest within every book review, a book's name with authors should be written near the top of all your book reviews

@bragastrong Ай бұрын

Love the birds on the background

@314calls Ай бұрын

You should check out Equations of Mathematical Physics by Bitsadze. It's quite a small unique book containing essentials of PDEs, complex variables and integral equations as required by a physics major!

@mirbooks Ай бұрын

This book is one of the interesting ones from the Advances in STEM series...❤❤❤

@fenixfyre Ай бұрын

Hey @mathsorcerer this is really cool, fluid mechanics is one of the most interesting subjects and the math required covers calculus, algebra, trig, numerical methods, etc. great stuff 👍

@314calls Ай бұрын

2:36 oh the elementary theory in one or several complex variables by Cartan. Im reading through the dover reprint of it currently:)

@TheMathSorcerer Ай бұрын

YES!!! That's the book! Awesome!!

@drticktock4011 Ай бұрын

The CFD book by Feziger, Peric, and Street is tops! See also Fluid Mechanics by Kundu...another cornerstone book.

@homamthewise6941 Ай бұрын

Gotta love those classics and how you present them love your vids

@misterspray7323 Ай бұрын

I took this class over 30 years ago and still literally have nightmares about it. I dream that it's the final and I haven't cracked the book or been to class all semester. Our Dept was using these methods modeling groundwater flow in 3-D.

@tmann986 28 күн бұрын

Your Diff eq course with lectures on Udemy was amazing! I'm looking forward to get your writing proofs in set theory!

@ismaailmousa1447 Ай бұрын

Do you have any book reccomendations for math olympiad prep?

@_fujini Ай бұрын

I see Mir Publishers, I click

@Skank_and_Gutterboy Ай бұрын

I took this class but it was called Computational Fluid Dynamics.

@qsfrankfurt9513 29 күн бұрын

That's what the subject is called, computational fluid dynamics. Because the differential equations that model fluid motion can't be solved by hand and have to be done by computer algorithms...

@NewWesternFront 19 күн бұрын

@@qsfrankfurt9513 why

@qsfrankfurt9513 18 күн бұрын

@@NewWesternFront These numerical PDEs require tens of thousands of calculations and so are impossible to do by hand. Hence a computer doing them and the word "computational..."

@NewWesternFront 18 күн бұрын

@@qsfrankfurt9513 how cool

@engsherif4657 21 күн бұрын

Good book but we need explen the equation in this book used for solving the fluid proplem the presantion for this book not completed plese explean mathmatics equation in book thank you

@brianmccormick8328 Ай бұрын

I can't find a copy of this book anywhere.

@idiosinkrazijske.rutine Ай бұрын

I have one from the same series but from 1986, and is hard cover.

@TheMathSorcerer Ай бұрын

awesome

@alexandervoytov4966 Ай бұрын

I prefer Ch L Mader Numerical modeling of explosives and propellants.

@lloydbonds9268 Ай бұрын

you may have answered this, but do you think math is discovered-or invented?

@ismbks Ай бұрын

do you have chess books in your book collection? if not you should consider it (assuming you are interested in chess).

@TheMathSorcerer Ай бұрын

I do have chess books:) I love chess!

@ismbks Ай бұрын

@@TheMathSorcerer nice! hopefully we can get a peek at your chess books in the future ;) chess folk are really passionate about their books, international master kostya kavutskiy comes to mind as someone who makes lots of chess book content on youtube!

@pedrowojciechowski8669 28 күн бұрын

Could you make a video over Millennium Problems

@antoniofernandez-caballero3014 28 күн бұрын

interested in getting a copy of the book, or at least the papers, does anyone know where to find it? Thanks

@jonbondMPG Ай бұрын

Okay, we have a few things here.... No, not about the book... But drinking Tea with the spoon that's the highway to the danger zone.... and you know leaving the spoon in will change the taste of the tea. I've not found a Dover Book on the subject, but I'm willing to bet there is one somewhere :D

@igorfilin8342 Ай бұрын

Wow

@TheCosmicGuy0111 Ай бұрын

Sweet

@pacopascal3256 Ай бұрын

You're so cool. :)

@rsmith90 Ай бұрын

C’mon @MathSorcerer. Only REAL math fans read it in its original 20th century Russian. **Edit to highlight sarcasm**

@johnswolter Ай бұрын

Google Translate is making any book in any language available to the world. Mathematics is a language too. Google's Translate & others will translate Mathematics language too.

@desvonbladet Ай бұрын

The English edition was published in 1984 so it is a 40 year old anthology of computational methods in fluid dynamics. I'm not going to claim it has no value at all to current research, but the onus would be on someone who claimed it was still useful. (Computational fluid dynamics has been actively developing over the last 40 years, as have uh computers for that matter.)

@Lavabug Ай бұрын

I caught a glimpse of "split explicit schemes" - these are the basis of time integrators of modern day weather models - they were specifically developed for computers. I consult newer books and papers for my work but many cite old works from the 80's and 70's. I'm sure at least some of these are referenced.