A Little AIME Problem
Posted: May 16, 2022 in Mathematics Tags: AIME, math, Math Contest
Solution
In general, let
By Pythagoras Identity,
Solve this system by adding and subtracting, we get
Hence,
and
Therefore,
Let...
The finite difference method is a widely used technique for solving boundary-value problems. It approximates the derivatives in the differential equations using finite differences,...
Finding a Limit Without L’hôpital Rule or Taylor Expansion
Posted: May 19, 2022 in Mathematics Tags: exams, limit, math, solution
Saw this limit when I was watching a...
Happy International Women's Day 2022. Let's take a look at some of the most influential mathematicians in history.HypatiaDespite there not being records of the...
Podcast: DownloadHow should axioms be justified? By appeal to intuition, or sensory perception? Or are axioms legitimated merely indirectly, by their logical consequences? Plato...
By Katie Steckles. Posted October 7, 2024 in News Roundup
Here’s a round-up of mathematical news stories from last month.
Maths Research News
A claimed proof has...
Joel David Hamkins, “How the continuum hypothesis could have been a fundamental axiom,” Journal for the Philosophy of Mathematics (2024), arxiv:2407.02463.
Abstract. I describe a...
By Katie Steckles and Peter Rowlett. Posted October 11, 2024 in Mathematical Objects
A conversation about election mathematics inspired by a ballot. Presented by Katie...
In today's fast-paced and technology-driven world, developing critical thinking skills is more important than ever. As educators, we strive to provide engaging and effective...
This will be a graduate course at the University of Notre Dame.
Course title: Gödel incompleteness
Course description. We shall explore at length all aspects...
3rd graders continue to develop their understanding of measurement by learning about liquid volume.
Liquid volume is the amount of liquid contained in a...
Calculator pages are currently being checked and updated.A series of pages is available from the top menu under Calculators.
Further calculators are available; they will all be available shortly on...
Podcast: DownloadIn ancient Mesopotamia and Egypt, mathematics meant law and order. Specialised mathematical technocrats were deployed to settle conflicts regarding taxes, trade contracts, and inheritance. Mathematics enabled states to...
Ben Orlin’s charming new book Math for English Majors: A Human Take on the Universal Language is a welcome addition to the growing fold of books about math for...