Today's #dailymaths CHALLENGE PROBLEM. Problems are taken from the Mathematics 2021 calendar. Each day's problem is posted at 1am Eastern/6am London. Previous day's solution is added a few hours later. Guest mathematician posts welcome; DM if interested!
Yesterday's problem with solution by me, and link to extended explanation in the next tweet!
Here is a fabulous explanation of modular arithmetic by @drrollergator -- easily accessible by middle schoolers, even though most people only learn it in number theory at university. Spend your Sunday learning something amazing!
BONUS!! I screwed up my schedule and double booked myself with @JohnsonFido -- and her answer is way better than mine, including doing algebra with mod maths! How cool is that?!?

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More from @GWOMaths

17 Aug 20
GREAT WOMAN OF MATHEMATICS: DR. WINIFRED EDGERTON MERRILL, 1862-1951. The first American woman to earn a PhD in mathematics. She was born in Wisconsin. Little is known about her parents, but they were able to provide her with both emotional and material support for her dreams 1/9
and ambitions, giving her both private tutors and a small home observatory. She earned a bachelor's degree in mathematics from Wellesley College. Pursuing a lifelong love of astronomy, she independently used data from Harvard's observatory to calculate the orbit of the 2/x
Pons-Brooks Comet, from the Halley's family of comets. This achievement bolstered her effort to be admitted to Columbia University, which at first rejected her due to her sex. She argued that their telescope and facilities provided a unique opportunity for her to further her 3/x
Read 9 tweets
9 Aug 20
Today's #dailymaths CHALLENGE PROBLEM. Problems are taken from the Mathematics 2020 calendar. Each day's problem is posted at 2am Eastern/7am London. Previous day's solution is added a few hours later. Guest mathematician posts welcome; DM if interested!
Yesterday's problem with a special series of answers! The answer is as simple as checking a list of the ten problems Hilbert revealed on August 8, and seeing that the Riemann is #8. But what about those problems? Why are they so special, and what do they mean? Keep reading!
Two professors, one retired and one current, wrote plain-English explanations of some of the Hilbert problems for us. Here is the first, problem #1, explained by @JohnsonFido.
Read 6 tweets
30 Jul 20
GREAT WOMAN OF MATHEMATICS: Katherine Johnson, 1918-2020. Brilliant mathematician who graduated high school at age 14 despite the obstacle of no local public school being available for Black students. Took every available maths course at West Virginia State, an HBCU, which 1/6 Image
added new courses for her. Was mentored by W.W.S. Claytor, the third Black American to earn a PhD in mathematics. Graduated at age 18 with degrees in both mathematics and French. Personally integrated West Virginia University after a ruling by the Supreme Court. Took time off 2/6 Image
to raise her kids. After the early loss of her first husband, was a single mother until re-marriage at age 41. Started at NASA in 1958 where she was one of the many women involved in the space program, a remarkable achievement in a pre-feminist era that was also still very 3/6
Read 6 tweets
28 Jun 20
GREAT WOMAN OF MATHEMATICS: DR. FERN HUNT, born 1948. Dr. Hunt is a probability theorist and mathematical biologist who has made important contributions to our understanding of dynamical systems and mathematical modeling. She was born in 1948 to working class parents, #GWOM 1/8 Image
who supported and encouraged her scientific and mathematical passions. With their encouragement, she became the first member of her family to graduate college. She earned AB, MS, and PhD degrees in mathematics, and worked in academia until 1993, when she left to work 2/8
in the computing and applied mathematics laboratory of the National Institute of Standards and Technology. Her work in dynamical systems relates to the mathematical modeling of genetic variation, patterns in bacteria, and nonlinear dynamics. The Monte Carlo method (pic) 3/8 Image
Read 9 tweets
28 May 20
GREAT WOMAN OF MATHEMATICS: MARY GOLDA ROSS, 1908-2008. Mary Golda Ross was the first Native American woman to become an engineer. The great-granddaughter of a Cherokee Chief, she grew up in the Cherokee tradition, which educated boys and girls equally. She graduated from 1/x
Northeastern State Teacher's College, which was formerly the Cherokee Female Seminary, with a degree in mathematics at age 20. She spent 9 years teaching in rural Oklahoma schools during the Great Depression, taking courses towards her master's degree during summers. She went 2/x
to work for the Bureau of Indian Affairs as a statistician, then to California to seek work with Lockheed in support of US efforts during WW2. She did mathematical work on pressure effects for fighter planes, including the P-38 Lightning, then the fastest military plane ever. 3/x
Read 9 tweets
16 May 20
GREAT WOMAN OF MATHEMATICS: MARIA AGNESI, 1718-1799. First woman to be appointed to a maths professorship (University of Bologna). Child prodigy who spoke 7 languages by age 11. Though she had many opportunities to study, growing up in a wealthy family, she chose mathematics 1/7 Image
because "experience-derived knowledge is fallible," whereas mathematical knowledge is certain, provable, and not subject to human interpretation. She was one of 21 siblings, becoming a surrogate mother to many of the younger ones after their mother died. She took over their 2/7 Image
education and, finding all available mathematics texts inadequate, wrote one herself. It was the first textbook to teach both differential and integral calculus, and was crucial to maths education across Europe for generations. That text is online: archive.org/details/analyt… 3/7
Read 7 tweets

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