Experienced Data Science Leader | PhD in Machine Learning | 7x Author | Black Belt 🥋 in Time Series | Chief Conformal Prediction Promoter| Mathematician |
Delighted to receive my own copy of Gunter & Kuzmin.
Over 800+ pages of pure math bliss, 6,300+ higher math problems collection surpassing by a factor of x2 even legendary Demidovich book used by elite STEM universities in China.
Solve the problems in this book and you are ready for even the most challenging HFT, finance and tech jobs as well as frontier AI labs.
Used by Landau himself to learn math and to set math problems for his theoretical minimum.
Complete🔥 🔥 🔥 nothing on this planet 🌍 comes even close
Now available in both one volume and two volume editions on https://t.co/VKD55ApBEp
For most of the twentieth century, if you studied higher mathematics in Russia, you worked from one problem book. This is its first English edition.
Günter and Kuzmin's Collection of Problems in Higher Mathematics began in 1912 as a working set of problems compiled by the mathematics department of the Institute of Engineers of Ways of Communication in St Petersburg. It grew to three volumes, ran to a thirteenth edition, and became the standard problem book of the Soviet universities and the higher technical institutes alike.
Russian biographical accounts record that its problems supplied the mathematics of the entrance examination Lev Landau set his prospective students — the celebrated "theoretical minimum."
Here is the part most people don't know.
The two men who assembled it were not textbook compilers. They were working research mathematicians, and it shows on every page.
RODION KUZMIN (1891–1949) left two permanent results.
In 1928 he settled a question Gauss had raised and left unanswered — the limiting distribution of the partial quotients of a continued fraction — and was the first to prove it with an estimate of the rate of convergence. The theorem and the distribution now carry Gauss's name and his.
In 1930 he proved that a^b is transcendental whenever a is a positive algebraic number other than 1 and b is a real quadratic irrational. So 2^√2 is transcendental. That is a case of Hilbert's seventh problem, and he got there four years before Gelfond and Schneider settled it in general.
He was expelled from Petersburg University for student politics, finished his degree at Petrograd in 1916, and held the chair of general mathematics at Leningrad University from 1945 until his death.
NIKOLAI GÜNTER (1871–1941) was taught by Korkin, Markov and Possé — the direct line of Chebyshev's school. Doctorate in 1915 on the characteristics of systems of partial differential equations. Professor from 1916 until his death. Corresponding member of the USSR Academy of Sciences from 1924. His treatise on potential theory was published in Paris in 1934, in Borel's collection at Gauthier-Villars, and reviewed in the English mathematical press on publication.
He led the higher mathematics department at the Institute of Engineers of Ways of Communication from 1906, and for long stretches taught at four institutions at once, across some four decades.
Günter died in 1941. Kuzmin finished the last revision alone and signed its preface from Biysk, in 1944, a long way from Leningrad.
WHAT IS IN THE BOOK
6,314 problems, numbered continuously from 1 to 6,314, running from analytic geometry in the plane through to the calculus of variations and the theory of probability. Higher algebra, integration, multiple and surface integrals, ordinary and partial differential equations, special functions, series, approximate computation, complex variables, mathematical physics.
The theoretical interludes that make the problems usable sit exactly where a working student needs them — not in an appendix.
https://t.co/qGUtjV1c3h
Solid mathematical ideas almost always outperform contrived engineering tricks.
For years deep learning has been dominated by increasingly complex architectural hacks: CNN blocks, attention layers, channel mixers, residual pathways, normalization stacks.
Every few years a new architecture is announced as if it were a revolution.
One of the most famous examples was Kaiming He and Residual Networks (ResNet). At the time he was paraded around the AI world like a celebrity because residual connections supposedly “solved” deep learning.
But these were largely engineering patches.
Now something much more interesting appeared.
A new architecture called CliffordNet returns to mathematics — specifically Clifford Algebra, developed in the 19th century by William Kingdon Clifford.
Instead of stacking arbitrary modules, the model is built around the geometric product
uv = u·v + u∧v
A single algebraic operation that simultaneously captures inner product structure and geometric interactions.
In other words: the math already contains the interaction mechanism.
No attention blocks.
No mixer layers.
No architectural spaghetti.
The result:
• 77.82% accuracy on CIFAR-100 with only 1.4M parameters
• roughly 8× fewer parameters than ResNet-18
And with strict O(N) complexity.
The paper even suggests that once geometric interactions are modeled correctly, feed-forward networks become largely redundant.
A good reminder for the AI community.
Engineering tricks can dominate for years.
But eventually mathematics shows up and deletes half the architecture.
Paper:
https://t.co/9rQuZYvZ0o
19th century geometry just walked into computer vision.
After many months of work, it is done. The complete Kiselev series is in English.
For over 70 years these were the mathematics textbooks of Russian and Soviet schools. More than 80 million students learned from them. Every book, first published between 1884 and 1931, is now available — for the first time, complete, in English.
Twelve volumes. Every theorem proved. Every rule derived.
Arithmetic
https://t.co/9JgKiUNfJ0
Systematic Course of Arithmetic
https://t.co/FdNWWklLKy
Elementary Algebra
https://t.co/txXTgwakTk
Algebra, Part I
https://t.co/CLkGxJLb0u
Algebra, Part II
https://t.co/2J6n1GeqOA
Elementary Geometry
https://t.co/yW4cUM126d
Geometry, Book I: Planimetry
https://t.co/ZfKgmOKiO6
Geometry, Book II: Stereometry
https://t.co/E6jEuXHLhZ
Calculus
https://t.co/W7F2YTSHVO
Elements of Algebra and Analysis, Part One
https://t.co/kZ9eC5HAa8
Elements of Algebra and Analysis, Part Two
https://t.co/3DbSVoEtLa
Problems and Exercises in Elementary Algebra
https://t.co/5dpJdu7iQf
Full catalogue: https://t.co/eOthR9EJxk
#Mathematics
Leonhard Euler lost the sight of one eye in the late 1730s. In the autumn of 1766, back in St Petersburg, he lost the other.
He was nearly sixty. He did not slow down.
He dictated — to his son, to his students, to his assistants.
Yushkevich devotes five chapters to Euler’s Russian years in History of Mathematics in Russia Before 1917, now in its first faithful English translation.
If you’re serious about the greatest mathematician of the eighteenth century, read where he did his work:
Been screaming it from the rooftops.
Every CEO needs to send their 10x engineers into HR for like 1 week to gut the fuck out of it.
It's the lowest hanging fruit across thousands of the largest corporations.
Forget the faux pas “calculus” marketing product.
US universities invented it to charge massive fees and push shallow, overpriced books like Spivak.
The real subject is mathematical analysis — the way it was taught for decades in the USSR and China.
The iconic book:
Fikhtengol’ts — Foundations of Mathematical Analysis, Volume I 🔥🏆🚀
Lectures by the professor whose students included Sergei Sobolev, Leonid Kantorovich (Nobel Prize in Economics), Pelageya Polubarinova-Kochina and Viktor Ambartsumian.
The same book that trained generations of top Soviet and Chinese scientists.
Available now in paperback, hardcover and Kindle:
https://t.co/lPfPaAm3Yt
Part II coming soon.
Study the real thing.
XBOX HAS CUT 1,868 OF A PLANNED 3,200 JOBS
Microsoft said the cut roles were not replaced by AI.
Turns out they were replaced with visa workers.
In the 9 months before July, it filed 1,262 new-hire H-1B applications, up from 661 in the same stretch three years earlier.
Woke French student mocked owners who lost stores in riots - then her jet-set life was revealed: 'Your little shops, that's cute' https://t.co/4vR8tqsqbO
In 1772 an eye operation left Leonhard Euler almost completely blind.
He could still do the mathematics. He could not read it or write it.
So he needed someone. Not a copyist — someone who could follow him.
Euler turned to his old friend Daniel Bernoulli in Basel. Bernoulli knew exactly who to send.
Nicolas Fuss arrived in St Petersburg in May 1773. He was eighteen.
He stayed for the rest of his life.
At Euler’s side he helped push more than 250 papers into print. Not transcription — he developed the ideas, built the tables, worked the examples.
Then Euler died in 1783, and the assistant became the scientist. Academician that same year. Professor of mathematics. And from 1800 until his own death in 1826, permanent secretary of the Imperial Academy of Sciences.
There is a theorem named after him. A sequence of numbers too.
And late in life he did one more thing.
He took the algebra he had learned at Euler’s elbow and built it into a course for the schools of the Russian Empire. Three volumes. Algebra. Then geometry. Then the application of algebra to geometry — trigonometry, conic sections, and the foundations of the calculus.
That trilogy is where Russian school mathematics begins. Kiselev comes after it. The Soviet school comes after Kiselev.
Part I — Algebra, 1820. Four divisions, 59 chapters, 570 sections. From what it means for a letter to stand for a quantity, all the way to the irreducible case of the cubic.
Two hundred years. No English edition. Not once.
Until today.
https://t.co/4augDPsE7V
https://t.co/EpqcJiUyAE
https://t.co/VKD55ApBEp
The Goldbach conjecture was written in Russia.
Christian Goldbach — a lawyer by training and, Yushkevich says, always an amateur in mathematics — had moved to Russia, where he tutored the future Peter II. On 7 June 1742 he wrote to Euler with the guess that bears his name.
One is gonna have to ask themselves how come Gelfand who didn’t even complete high school, let alone university degree or PhD got all the way to the top of math hierarchy in the USSR whilst Chinese guy who got PhD in math could not get any academic job and had to work at Subway.
https://t.co/FNwT3w3jTO
In other words, established mathematicians and leaders of the community, completely failed a fellow mathematician yet again, turned him into a @SUBWAY PhD, and wasted almost his entire career over BS for decades.
Point Blank.
Question: why do we listen to leaders like this?