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Given an integer n, Euler's totient function gives the number of integers less than n that are coprime with n. #MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts
These clearly and cleverly presented mathematical recreations of paradoxes and paper folding, Moebius variations and mnemonics both ancient and modern delight and perplex while demonstrating principles of logic, probability, geometry, and other mathematical fields. Details Format: Paperback Published: 1975 Pages: 154 Size: 18 x 11 cm Condition: good for its age. bindings good, see photos, inscription on inside cover. Mathematical Puzzles and Diversions maths book Vintage Book Classic Reference mathematical book gift math X4830z278
Martin Gardner continues to delight readers in Origami, Eleusis, and the Soma Cube, which is the second volume in the new Cambridge series, The New Martin Gardner Mathematical Library, based off his enormously popular Scientific American columns. He introduces young and old readers alike to the Generalized Ham Sandwich Theorem, origami, digital roots, magic squares, the mathematics of cooling coffee, the induction game of Eleusis, Dudeney puzzles, the maze at Hampton Court Palace, and many more mathematical puzzles and principles. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries, to challenge and fascinate a new generation of readers.
Introduction The history of Chaozhou dialect (潮洲話) started with proto-Putian which was a sub-dialect of Quanzhou dialect. Overseas Chinese...
The strange new virtual currency called Bitcoin relies on something more trustworthy than people or institutions. It relies on mathematics—in fact, 'trusty' one-way mathematics.
I'm still exploring how to use paper weaving specifically to engage elementary students in mathematical inquiry. So far I've found that paper weaving has the potential to open up discussions of different kinds of symmetries, encourage exploration of inverse operations, and support inquiry into how number multiples can influence design. That's what I have at the moment, but I'm sure there's more. The other night I asked myself, "How could I weave Fibonacci numbers?" I picked three colors for a warp (vertical strips). Green=2, Blue=3, and Purple=5. That gave me a warp of ten. I had already played around with weaving multiples of five... ...but this was a completely different process. I wove with a weft (horizontal strips) using a simple over-under weave, but used the same color/number pattern as the warp. Holy cow! Do you see what happened? I got square numbers! Green=4, Blue=9, and Purple=25! It was late but I decided to try one more Fibonacci warp. Instead of weaving 2, 3, 5 for the weft as well, I played around with a basic over-under weave with red, orange, yellow, orange, red... as the color pattern. I love the little orange boxes with alternating red and yellow centers that resulted. Looking at these two pieces again I have a bunch more ideas for playing around with warp, weft and weaving pattern in relation to 2, 3, 5. But, I so love when artistic inquiry and mathematical inquiry merge like this, to such beautiful and interesting results. It's what we do in Math in Your Feet and it's clear to me that a design approach is perfect for integrating math with other mediums as well. p.s. The Math in Your Feet Facebook page is developing into a fun place for me to share interesting bits of mathematical art and design. I'd love to have your company over in that space as well!
Live Science asked physicists, astronomers and mathematicians for their favorite equations. Here's what we found.
Amaze your friends with these surprising quirks of numbers.
This model will use the most popular options pricing method —the Black Scholes equation, which requires the current price of the underlying asset in order to set the price of an options contract. Acquiring the price of the underlying asset requires an oracle. VERY BIG NEWS $LINK
Researchers at Poland’s Institute of Nuclear Physics found complex ‘fractal’ patterning of sentences in literature, particularly in James Joyce’s Finnegans Wake, which resemble ‘ideal’ maths seen in nature
When a German retiree proved a famous long-standing mathematical conjecture, the response was underwhelming.
I am thrilled to share with you 100 math books that have found a special place on my shelves. These math books have played an instrumental role in my journey through the mathematical universe.
Six years ago, Grigori Perelman shocked the world of mathematics: first by solving an unsolvable problem, and then by running from the fame and fortune that went with it. Where did he go?
Euler's approach to Basel Problem at a glance 💥💥💥 https://t.co/vvBybVX0xG #math #science #iteachmath #mtbos #visualization #elearning #calculus
Below is an extract of a 10-page cheat sheet about probability, compiled by William Chen (http://wzchen.com) and Joe Blitzstein, with contributions from Sebastian Chiu, Yuan Jiang, Yuqi Hou, and Jessy Hwang. Material based on Joe Blitzstein’s Harvard’s introductory probability course (@stat110 – (http://stat110.net) and Blitzstein / Hwang’s Introduction to Probability textbook (http://bit.ly/introprobability). Licensed under CC BY-NC-SA… Read More »Probability Cheat Sheet – Harvard University
There are numerous mathematicians who have made significant contributions in the field of mathematics. We cannot argue the mathematical greatness of Euclid, Newton, Gauss, Euler, and others who hav…
A little known but awesome property about primes derived from the Euler product may change your mind about encryption.
The first translation into English of the standard work on the theory of numbers by one of the greatest masters of modern mathematical analysis, this classic...
