We talked about calculus two post ago in this blog and how it is both beautiful and vital for contemporary science and technology. Now I have decided to publish calculus problems regularly, not necessarily daily based. The reason that each problem is chosen is because it is learning us something.
So let’s begin with #1 problem:
Calculus has been always interesting for each of us in mathematics. No matter how advanced your field of research is, no matter how many years you have worked on different parts of mathematics, and even no matter how many times you have taught it to first semester students of science and engineering; again it is interesting and it has many different problems that you have never seen them before. Almost every mathematician has wrote a book or has had this idea to write a book on the subject. It may be the only part of mathematics with this amount of textbooks. Who can be so dare to claim that he could even review all of them in his lifetime? Continue reading
As some of you may know, I have another blog in blogspot.com, in which is older than this blog. I have decided to publish “only math” contents here in this blog. All my other daily notes will be published in my blogger blog:
Thank you all in advance because of you attention.
How a corrosive culture keeps women out of leadership positions on math
As soon as mathematician Chad Topaz ripped the plastic off his copy of the American Mathematical Society’s magazine Notices, he was disappointed. Staring back at him from the cover were the faces of 13 of his fellow mathematicians—all of them men, and the majority of them white. “Highlighting all this maleness and whiteness—what is the message that is being sent to the membership?” he wondered. Continue reading
For two millennia, Euclid’s Elements, the foundational ancient work on geometry by the famed Greek mathematician, was required reading for educated people. (The “classically educated” read them in the original Greek.) The influence of the Elements in philosophy and mathematics cannot be overstated; so inspiring are Euclid’s proofs and axioms that Edna St. Vincent Millay wrote a sonnet in his honor. But over time, Euclid’s principles were streamlined into textbooks, and the Elements was read less and less. Continue reading
Scientists have created a “map” of odor molecules, which could ultimately be used to predict new scent combinations
The human nose finds it simple to distinguish the aroma of fresh coffee from the stink of rotten eggs, but the underlying biochemistry is complicated. Researchers have now created an olfactory “map”—a geometric model of how molecules combine to produce various scents. This map could inspire a way to predict how people might perceive certain odor combinations and help to drive the development of new fragrances, scientists say. Continue reading
Through exacting geometric calculations, Philip Gibbs has found the smallest known cover for any possible shape.
By: Kevin Hartnett https://www.quantamagazine.org
Philip Gibbs is not a professional mathematician. So when he wanted a problem to chew on, he looked for one where even an amateur could make a difference. What he found was a challenge that could drive even the most exacting minds mad. In a paper completed earlier this year, Gibbs achieved a major advance on a 100-year-old question that hinges on the ability to accurately measure area down to the atomic scale. Continue reading
By Perri Klass, M.d.
April 24, 2017
My mother was what we would now call math anxious, if not phobic. My daughter, on the other hand, was a math major, which always left me feeling like the transitional generation, capable of mastering standardized-test math problems and surviving college calculus (it’s one of the pre-med requirements) but never really connecting to the beauty or power of the subject. Continue reading
The 10th World Mathematics Invitational (WMI) took place at Yonsei University in Incheon, South Korea Zahra Zavieh, a student at Urmia University northwest Iran, the provincial capital of west Azerbaijan, won a gold medal for Iran, in a competition that brought together the world’s best math students.
the tournament was held in South Korea at the end of July and 54 students took part, with Iran placing 2nd in the tournament with 5 gold, 18 silver and 17 bronze medals, as well as 14 diplomas
In the latest issue of NOTICES of AMS you find an extended article about life and works of Iranian mathematician late Maryam MIRZAKHANI. Here is the link (PDF):
“As mathematicians, we know one of our first rules is no math in public. We want people to think we know how to do it without having to show them we can do it.”
Here we go to have a real surprise, as they say the smoke arise from the big logs. (it is a Persian proverbs showing the importance of experience of elders rather energy of youths)
One of the most important unsolved problems in mathematics may have been solved, retired mathematician Michael Atiyah is set to claim on Monday. In a talk at the Heidelberg Laureate Forum in Germany, Atiyah will present what he refers to as a “simple proof” of the Riemann hypothesis, a problem which has eluded mathematicians for almost 160 years. Continue reading
Calculus is almost the most known branch of mathematics in which over the university students in each discipline from economy to physics would face with it during their study at university.
here you will watch a documentary about its roots and the time it was born. It is an excellent scientific video, although it is an old B.B.C production. Generally they are far away pretentious in compare with today’s scientific documentaries, I think. I hope you enjoy the video: Continue reading
In a report posted online today, Peter Scholze of the University of Bonn and Jakob Stix of Goethe University Frankfurt describe what Stix calls a “serious, unfixable gap” within a mammoth series of papers by Shinichi Mochizuki, a mathematician at Kyoto University who is renowned for his brilliance. Posted online in 2012, Mochizuki’s papers supposedly prove the abc conjecture, one of the most far-reaching problems in number theory.
The fourth video in the Non-linear algebra series is now online!
In this lecture, Mateusz Michałek discusses two fundamental examples of algebraic varieties: linear spaces and Grassmannians.