Here, as much for my convenience as anyone else's, is a list of the theorems that have appeared here, with links. Bézout's theorem The intermediate value theorem Vinogradov's three primes theorem Van der Waerden's theorem The square root of 2 is irrational The binomial theorem The Banach-Tarski paradox Eulerian circuits Bachet's duplication formula Lagrange's theorem…
A pair of mathematicians has built on an obscure, 30-year-old mathematical theory to show that soap-filmlike minimal surfaces appear abundantly in a wide range
Here is a list of resources to hone your skill in solving algorithmic and mathematical challenges. Many of these sites host frequent contests which you
- How to give an effective math talk
- General resources on preparing a talk (not specific to mathematics):
- Preparing a poster presentation
- Resources for teachers (relevant literature)
- Using PowerPoint
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Introduction This is a variant of a similar past problem: draw something interesting, using a sequence of joined straight line segments, without ever lifting your pen. Or in this case, with one continuous thread. As far as I can tell, the first realization of this particular idea was in 2016, when artist Petros Vrellis [1]…
swMATH not only provides access to an extensive database of information on mathematical software, but also includes a systematic linking of software packages with relevant mathematical publications.
The Euler Archive is an online resource for Leonhard Euler's original works and modern Euler scholarship. This dynamic library and database provides access to original publications, and references to available translations and current research.
This page contains list of mathematical Theorems which are at the same time (a) great, (b) easy to understand, and (c) published in the 21st century. See here for more details about these criteria. Click on any theorem to see the exact formulation, or click here for the formulations of all theorems. You can also…
In Why Is There Philosophy of Mathematics At All? one of the grand eminences of the philosophy of science, now retired, offers a lively, discursive tour of some of the broad landscapes of the philosophy of mathematics...
- Zentralblatt MATH (zbMATH) is the world’s most comprehensive and longest-running abstracting and reviewing service in pure and applied mathematics
- The zbMATH database contains about 4 million bibliographic entries with reviews or abstracts currently drawn from about 3,000 journals and serials, and 180,000 books.
- The coverage starts in the 18th century and is complete from 1868 to the present by the integration of the "Jahrbuch über die Fortschritte der Mathematik" database.
U. Martin Skrodzki, and K. Polthier. Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture, page 481--484. Phoenix, Arizona, Tessellations Publishing, (2016)Available online at http://archive.bridgesmathart.org/2016/bridges2016-481.html.
J. Berner, P. Grohs, G. Kutyniok, and P. Petersen. (2021)cite arxiv:2105.04026Comment: This review paper will appear as a book chapter in the book "Theory of Deep Learning" by Cambridge University Press.