Ask HN: How to self-study mathematics from the undergrad through graduate level? | Hacker News

january 2019 by whip_lash

Hey HN community, I've been looking to get deep and build my math skills from the foundation up. I have the time to dedicate to this endeavor and I'd love to hear if you have any specific resources/curriculums you recommend.

math
january 2019 by whip_lash

Statistical rule of three

november 2018 by whip_lash

The rule of three gives a quick and dirty way to estimate these kinds of probabilities. It says that if you’ve tested N cases and haven’t found what you’re looking for, a reasonable estimate is that the probability is less than 3/N.

algorithms
datascience
math
statistics
november 2018 by whip_lash

The Riemann Hypothesis, explained – Jørgen Veisdal – Medium

october 2018 by whip_lash

Present an argument or formula which (even barely) predicts what the next prime number will be (in any given sequence of numbers), and your name will be forever linked to one of the greatest achievements of the human mind, akin to Newton, Einstein and Gödel. Figure out why the primes act as they do, and you will never have to do anything else, ever again.

math
october 2018 by whip_lash

rougier/numpy-100: 100 numpy exercises (100% complete)

february 2018 by whip_lash

This is a collection of numpy exercises from numpy mailing list, stack overflow, and numpy documentation.

math
numpy
python
github
february 2018 by whip_lash

Chaos Theory in Ecology Predicts Future Populations | Quanta Magazine

november 2017 by whip_lash

Sugihara and others are now starting to apply his methods not just in ecology but in finance, neuroscience and even genetics. These fields all involve complex, constantly changing phenomena that are difficult or impossible to predict using the equation-based models that have dominated science for the past 300 years. For such systems, DeAngelis said, empirical dynamic modeling “may very well be the future.”

math
november 2017 by whip_lash

The Unforgiving Math That Stops Epidemics | Quanta Magazine

october 2017 by whip_lash

If you know how many secondary cases to expect from each infected person, you can figure out the level of herd immunity needed in the population to keep the microbe from spreading. This is calculated by taking the reciprocal of R0 and subtracting it from 1. For measles, with an R0 of 12 to 18, you need somewhere between 92 percent (1 – 1/12) and 95 percent (1 – 1/18) of the population to have effective immunity to keep the virus from spreading. For flu, it’s much lower — only around 50 percent. And yet we rarely attain even that level of immunity with vaccination.

health
math
science
october 2017 by whip_lash

Beyond the Bell Curve, a New Universal Law | Quanta Magazine

october 2017 by whip_lash

The central limit theorem, which was finally made rigorous about a century ago, certifies that test scores and other “uncorrelated” variables — meaning any of them can change without affecting the rest — will form a bell curve. By contrast, the Tracy-Widom curve appears to arise from variables that are strongly correlated, such as interacting species, stock prices and matrix eigenvalues.

science
math
statistics
october 2017 by whip_lash

Desmos | Beautiful, Free Math

may 2017 by whip_lash

Online graphing calculator

education
math
tools
calculator
may 2017 by whip_lash

Elementary Calculus

september 2014 by whip_lash

This is a calculus textbook at the college Freshman level based on Abraham Robinson's infinitesimals, which date from 1960. Robinson's modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits.

book
math
september 2014 by whip_lash

Project Euler

september 2011 by whip_lash

"Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems."

programming
math
puzzles
education
learning
september 2011 by whip_lash

Why 5, 8 and 24 Are the Strangest Numbers in the Universe: Scientific American

may 2011 by whip_lash

"In 2008 Baez gave a series of lectures explaining what makes five, eight and 24 such unique and mysterious entities. The lectures, which are intended for a general interest audience, live on the Internet as both pdfs of the slides he used and video recordings. Watching them, you can learn not only a lot more about what makes octonions special, but also sphere stacking, the golden ratio, Islamic tiles, and why the sum of all integers equals –1/12."

math
may 2011 by whip_lash

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