Michael Lubinsky's homepage

Programming, Math and Physics

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https://www.dissercat.com/catalog/fiziko-matematicheskie-nauki

https://nicf.net/articles/

Семинар по математическим методам в физике

https://www.youtube.com/watch?v=uhtb8FD_GAI&list=PLPFUq1zn8x35_0NTQqHNKwCjb9CVhS7MX

Series of math topics

https://www.youtube.com/watch?v=9CBS5CAynBE&list=PLDcSwjT2BF_WVum1CMO9hMSIa7TyrGjsK

Fair coin - generate 1/3 probability

https://mindyourdecisions.com/blog/2017/01/01/can-you-solve-it-use-a-coin-to-simulate-any-probability-sunday-puzzle/

https://math.stackexchange.com/questions/3568428/get-1-3-probability-from-a-coin-in-minimal-mean-of-the-amount-of-flips

Generalized Fourier transform

Вьюгин И.В. Анализ Фурье. Весна 2023.

https://www.youtube.com/playlist?list=PLq3E5oubNNoCrTxwEvUuMrhv2kqHW4cJx

https://see.stanford.edu/Course/EE261/137

https://news.ycombinator.com/item?id=35582084

http://gabarro.org/ccn/gen_fourier.html

Lie groups

https://arxiv.org/pdf/1911.01053.pdf Symmetries of Ordinary Differential Equations

Lie Groups and their applications to Particle Physics: A Tutorial for Undergraduate Physics Majors https://arxiv.org/pdf/2012.00834.pdf

https://www.youtube.com/watch?v=ZRca3Ggpy_g

https://www.youtube.com/watch?v=7F_SJhS1OaQ

https://www.youtube.com/watch?v=Iz7PSlTpjyI

Functions are vectors

https://thenumb.at/Functions-are-Vectors/

https://news.ycombinator.com/item?id=36921446

Latex, Oerleaf, Typst

https://news.ycombinator.com/item?id=38354422

https://news.ycombinator.com/item?id=39452356

Render math expression in Markdown

https://news.ycombinator.com/item?id=31438864

https://docs.github.com/en/get-started/writing-on-github/working-with-advanced-formatting/writing-mathematical-expressions

When $a \ne 0$, there are two solutions to

$(ax^2 + bx + c = 0)$

and they are :

\[x = {-b \pm \sqrt{b^2-4ac} \over 2a}\]

https://explained-from-first-principles.com/#focus

https://mathics.org/ Wolfram’s Mathemetica free clone

Ветераны броуновского движения - Вступайте в ряды Фурье!

https://mathpages.com/

https://galoisian.files.wordpress.com/2018/11/undergraduate-lecture-notes-in-physics-paul-j-nahin-inside-interesting-integrals-2015-springer-1.pdf

Math books:

https://mccme.ru/free-books/

https://news.ycombinator.com/item?id=34439828

https://mltechniques.com/resources/

https://arxiv.org/pdf/1904.02539.pdf Func analysis

https://www.math.uci.edu/~rvershyn/teaching/2010-11/602/functional-analysis.pdf Func analysys

https://math.stackexchange.com/questions/302023/best-sets-of-lecture-notes-and-articles

https://www.susanrigetti.com/math

Greeen function https://www.youtube.com/watch?v=ism2SfZgFJg

https://math.stackexchange.com/search?tab=votes&q=is%3aanswer

Math-Net.Ru channel on youtube: https://www.youtube.com/channel/UC_fq8SDW37l86fdJxlprL1A

Никита Калинин - топологический анализ данных https://www.youtube.com/playlist?list=PLKXEsFnBcT5BD47xO19UsKshsQ7DMU3Sa

https://github.com/gillescastel/lecture-notes/

Группы и алгебры Ли, Штепин В. В., 03.02.2022г. https://www.youtube.com/playlist?list=PLthfp5exSWEoWfDHiYfiRsWCgSIgC9mc4

https://www.youtube.com/watch?v=Iz7PSlTpjyI Lee Algebra

Topology https://www.topologywithouttears.net/

Books: https://scask.ru/index.php

Latex: https://artofproblemsolving.com/wiki/index.php/LaTeX:LaTeX_on_AoPS

https://aimath.org/textbooks/approved-textbooks/

http://index-of.es/Varios-2/ books

В. Босс Лекции по математике тома 1 - 16 2004 - 2011 г.

https://urss.ru/cgi-bin/db.pl?lang=Ru&blang=ru&page=Catalog&list=Series407

https://www.studmed.ru/search?q=%D0%91%D0%BE%D1%81%D1%81+%D0%92.+%D0%9B%D0%B5%D0%BA%D1%86%D0%B8%D0%B8+%D0%BF%D0%BE+%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B5

https://www.mccme.ru/free-books/

PDE https://people.maths.ox.ac.uk/trefethen/pdectb.html

http://www.slimy.com/~steuard/teaching/tutorials/Lagrange.html Lagrange multiplier in optimization

http://nozdr.ru/biblio/edu/math/high

https://amathr.org/software/

https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/

https://kconrad.math.uconn.edu/blurbs/analysis/gaussianintegral.pdf

Math analys ru https://www.youtube.com/playlist?list=PLcsjsqLLSfNDuleTFinPo1WY3V4EesuLO

Linear Algebra with SymPy

https://live.sympy.org/

https://live.sympy.org/?evaluate=A%20%3D%20Matrix(%5B%5B0%2C%20%201%5D%2C%0A%20%20%20%20%20%20%20%20%20%20%20%20%5B-1%2C%200%5D%5D)%0A%23–%0AA%20*%20Matrix(%5B1%2C0%5D)%0A

https://minireference.com/static/tutorials/sympy_tutorial.pdf

https://github.com/minireference/sympytut_notebooks/blob/master/notebooks/Linear-algebra.ipynb

https://www.youtube.com/watch?v=2G3PmEZI6n8&list=PLGmu4KtWiH6-F2JlLVvCTsMR91I4ix0_z&index=1

Linear Algebra

3Blue1Brown Linear Angebra (ru) https://www.youtube.com/playlist?list=PLVjLpKXnAGLXPaS7FRBjd5yZeXwJxZil2

https://coffeemug.github.io/spakhm.com/posts/01-lingalg-p1/linalg-p1.html

https://web.stanford.edu/~boyd/vmls/

https://youtube.com/playlist?list=PL0-GT3co4r2y2YErbmuJw2L5tW4Ew2O5B&si=PXkIbFMqqozrsYEu 3Blue1Brown

https://explained.ai/matrix-calculus/

https://arxiv.org/abs/1404.1100 PCA

https://codingthematrix.com/

https://pimbook.org/

https://news.ycombinator.com/item?id=37354179

http://textbooks.math.gatech.edu/ila/index.html. Interactive linear algebra

https://raw.githubusercontent.com/kenjihiranabe/The-Art-of-Linear-Algebra/main/The-Art-of-Linear-Algebra.pdf Art of linear algebra

https://news.ycombinator.com/item?id=28704164

https://samenright.com/2021/08/31/a-laymans-guide-to-recreational-mathematics-videos/

https://nadoumnet.d3.ru/ . Lectures

https://grinfeld.org/ Tensor calculus

https://habr.com/ru/post/581148/ как правильно понимать определитель матрицы

https://habr.com/ru/users/dmagin/posts/ Graphs and other interesting articles

https://www.youtube.com/playlist?list=PLcsjsqLLSfNDNW9aTp8CVwvbKpTwACTjg или https://teach–in.ru/course/algebra–arzhantsev

https://news.ycombinator.com/item?id=28168339 Interactive math links!

https://www.youtube.com/watch?v=8v0OYSowjok

https://algorithmstoliveby.com/

http://num.math.uni-goettingen.de/schaback/teaching/sc.pdf

https://mattferraro.dev/posts/poissons-equation

https://news.ycombinator.com/item?id=27748967

BetterExplained.org

Uniformy disribute points in the circle https://news.ycombinator.com/item?id=31509536

Brillant.org

https://github.com/MathInspector/MathInspector. dev env with scipy

https://mipt.lectoriy.ru/

https://b-ok.org/ . BOOKS

https://etudes.ru/sketches/

https://news.ycombinator.com/item?id=25100241

https://medium.com/cantors-paradise

Books

https://mipt.ru/education/chair/mathematics/study/uchebniki/

Tensors

https://mfaizan.github.io/2022/03/08/why-tensors.html

https://news.ycombinator.com/item?id=30610238

Optimal stopping

https://en.wikipedia.org/wiki/Optimal_stopping

https://en.wikipedia.org/wiki/Secretary_problem

https://en.wikipedia.org/wiki/Ski_rental_problem

Average distance between 2 points in rectangle, on circle, on line, etc

https://www.youtube.com/watch?v=i4VqXRRXi68

https://www.youtube.com/watch?v=DUfCAO0u7mQ

https://www.youtube.com/watch?v=QbGQ-ETddzs

https://www.youtube.com/watch?v=TFhKK6bWcYE

Функциональный анализ

Р.В. Шамин. Функциональный анализ - лекции https://www.youtube.com/watch?v=THIwV_9fnzY&list=PLEaWFQiR5rGMUxl1x2lkW8uiFV-uX4B1D

Сергей Кисляков https://www.youtube.com/playlist?list=PL-_cKNuVAYAWltu4CT1F7CWG97ZplBnTg

Dynamical systems

https://www.youtube.com/watch?v=WJFU_KEyjus Vladimir Yankov

https://www.quantamagazine.org/how-mathematicians-make-sense-of-chaos-20220302/

https://galileo-unbound.blog/python-programs-for-nonlinear-dynamics/

http://www.dyn-sys.org/

https://www.youtube.com/watch?v=stbpUXA6Mow

https://www.youtube.com/watch?v=2VBN_dJZLWc&t=3906s

https://www.youtube.com/playlist?list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V

https://www.youtube.com/watch?v=HKsyGrp7fPg&list=PLLi3bLYwJwuMBvrTC64AaNEUJp2tcnlmb Динамические системы и бифуркации // Виктор Клепцын

Chaos and Time-Series Analysis

https://sprott.physics.wisc.edu/chaostsa/

https://www.youtube.com/watch?v=GZPZbqjyhY8

https://www.lektorium.tv/speaker/3276

https://www.youtube.com/channel/UCiuIWkZAXNteFruoL7MsIOw

группы

https://ru.coursera.org/learn/geometriya-i-gruppy Геометрия и группы. Савватеев Алексей Владимирович

https://www.youtube.com/watch?v=ihoATq9jSlQ группы. Савватеев Алексей Владимирович

http://lightcone.ru/category/math/

https://mccme.ru/dubna/2019/program.htm

https://mathvault.ca/

http://mathcenter.spb.ru/lynx/index.html

https://zen.yandex.ru/media/math_notebook/navigator-po-kanalu-5f2427db35aece0c36e9c9db

https://vk.com/mind_vs_trash

https://twitter.com/lisyarus?ref_src=twsrc%5Egoogle%7Ctwcamp%5Eserp%7Ctwgr%5Eauthor

https://math.wikireading.ru/list

https://ium.mccme.ru/

https://arxiv.org/abs/1705.07621. Grasshhopper problem

https://habr.com/ru/company/skillfactory/blog/522634/ Проблема секретаря или задача о разборчивой невесте

http://eqworld.ipmnet.ru/indexr.htm Books

https://realnotcomplex.com/

https://news.ycombinator.com/item?id=25831428 Good Books

http://www.mathnet.ru/php/currentissue.phtml?jrnid=mo&option_lang=rus

http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ufn&paperid=2258&option_lang=rus

https://elementy.ru/problems/2305/Bayes_versus_virus#p4 Bayes

http://mishadoff.com/blog/what-is-greater-e-pi-or-pi-e/

https://vk.com/physics_math Books

https://vk.com/id11394886 Nikita Lisa

https://www.youtube.com/playlist?list=PLoimxvgpOG5K6bfejCpgnpz8--xSDm3n_

Abstract Algebra

https://github.com/mavam/abstract-algebra-cheatsheet

https://arxiv.org/pdf/1804.04657.pdf

https://www.youtube.com/playlist?list=PL1JJ1jVZ9z5DjMQRkgzvC4c73GvLJOdjM

Д.Г. Ильинский:

“Теория колец и полей” https://www.youtube.com/playlist?list=PL4_hYwCyhAvbOH9yAll08bwTjcdbxpN_v

“Приложения алгебраиче-ских структур” https://www.youtube.com/playlist?list=PL4_hYwCyhAvY_FcWILwDqeL4GAt7CDh-B

https://jwkennington.com/blog/algebra-ladder/

https://news.ycombinator.com/item?id=22861731

https://news.ycombinator.com/item?id=23150699

http://www.stat.columbia.edu/~gelman/book/ . Bayes book 3rd ed

http://www.randomservices.org/random/

http://immersivemath.com/ila/index.html

http://brilliant.org

https://www.youtube.com/user/OpenLektorium/videos

https://www.coursera.org/learn/statistical-mechanics/home/welcome

https://betterexplained.com/articles/navigate-a-grid-using-combinations-and-permutations/

https://www.youtube.com/watch?v=hqTB9PTKvXU&list=PLlx2izuC9gjgZsBALx2ZF7IMGoNl07A9l Геометрия и группы. Алексей Савватеев

http://stedolan.net/research/semirings.pdf Semirings

https://www.youtube.com/channel/UCWk8OxsylgmZ_VgY7jC9pjQ/playlists Алексей Савватеев

Galoua

https://plus.maths.org/content/stubborn-equations

https://nrich.maths.org/1422

https://plus.maths.org/content/abel-prize-2020

Quantum mechanics

http://www.visualquantumphysics.org/

https://news.ycombinator.com/item?id=19062319

Math & Phys

https://en.wikipedia.org/wiki/Inverse_transform_sampling

https://www.youtube.com/channel/UC4VtfXvBu4d0us1RLf7z-2g

https://mirtitles.org/

https://landgreen.github.io/physics/index.html

https://www.youtube.com/watch?v=g7L_r6zw4-c Abstract algebra

https://news.ycombinator.com/item?id=21346272

https://www.quantamagazine.org/tag/insights-puzzle/

https://kubuszok.com/2018/algebras-we-love/

https://www.mccme.ru/mmmf-lectures/books/

others

https://news.ycombinator.com/item?id=18099484 Proof Without Words: Gregory’s Theorem

https://forany.xyz/a-244 Math videos in Russian; Задача о разборчивой невесте

https://en.wikipedia.org/wiki/Secretary_problem

Matrix

https://news.ycombinator.com/item?id=26676729

Linear algebra

https://www.andreinc.net/2021/01/20/eigenvalues-and-eigenvectors-explained

https://data-science-blog.com/blog/2020/10/27/10360/ visualizing linear transformations and eigenvectors

https://pabloinsente.github.io/intro-linear-algebra

https://pabloinsente.github.io/intro-linear-algebra

https://hefferon.net/linearalgebra/index.html

https://textbooks.math.gatech.edu/ila/

https://www.youtube.com/watch?v=rowWM-MijXU

https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab

https://explained.ai/matrix-calculus/index.html

https://news.ycombinator.com/item?id=21628449

https://news.ycombinator.com/item?id=21231228 linear algebra books

https://civilstat.com/2015/07/dont-invert-that-matrix-why-and-how/ Do not invert the matrix

https://kam.mff.cuni.cz/~matousek/stml-53-matousek-1.pdf

https://news.ycombinator.com/item?id=19933274

https://www.dhruvonmath.com/2020/07/26/who-cares-about-eigenvectors/

http://setosa.io/ev/eigenvectors-and-eigenvalues/

https://www.youtube.com/watch?v=mxkGMbrobY0&feature=youtu.be

https://dhruvp.netlify.com/2019/02/25/eigenvectors/

https://news.ycombinator.com/item?id=19349858

https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw . 3Blue1Brown

http://immersivemath.com/ila/index.html . Visual

https://www.amazon.com/Coding-Matrix-Algebra-Applications-Computer/dp/0615880991/

http://codingthematrix.com/

http://academictorrents.com/details/54cd86f3038dfd446b037891406ba4e0b1200d5a

https://archive.org/details/LinearAlgebraAndMatrixTheory

https://news.ycombinator.com/item?id=19013189

https://web.stanford.edu/~boyd/vmls/

http://www.seas.upenn.edu/~cis515/linalg.pdf

https://news.ycombinator.com/item?id=15923338 linear algebra and ML

«https://www.dhruvonmath.com/2020/07/26/who-cares-about-eigenvectors/>

https://machinelearningmastery.com/introduction-to-eigendecomposition-eigenvalues-and-eigenvectors/

https://machinelearningmastery.com/resources-for-linear-algebra-in-machine-learning/

https://machinelearningmastery.com/linear-algebra-cheat-sheet-for-machine-learning/

https://news.ycombinator.com/item?id=18351312 . Linear Algebra

https://gwthomas.github.io/docs/math4ml.pdf

https://youtu.be/TFhKK6bWcYE . average distance between points on line, in square

https://habr.com/post/428610/ paradox of bus waiting time

https://waterprogramming.wordpress.com/2018/09/04/implementation-of-the-moving-average-filter-using-convolution/

https://www.youtube.com/watch?v=cqNqZ2fZlvA Savvateev

Игра в 15

https://e-maxx.ru/algo/15_puzzle

http://www.cs.cmu.edu/afs/cs/academic/class/15859-f01/www/notes/15-puzzle.pdf

https://www.coursera.org/lecture/matematika-dlya-vseh/rieshieniie-piatnashiek-ch-1-l7rXY

https://habr.com/ru/post/477716/

https://www.quantamagazine.org/mathematicians-calculate-how-randomness-creeps-in-20191112/

https://ru.wikipedia.org/wiki/%D0%98%D0%B3%D1%80%D0%B0_%D0%B2_15

https://habr.com/ru/company/taucraft/blog/146508/