
The opinions expressed on these blogs are the views of the writer(s) and do not necessarily reflect the views and opinions of the American Mathematical Society.
Subscribe to Blog via Email

 Blogs offered by the AMS
 A Mathematical Word
 Beyond Reviews: Inside MathSciNet
 Capital Currents
 Blogs offered in cooperation with the AMS
 eMentoring Network
 Graduate Student Blog
 inclusion/exclusion
 Living Proof
 Math Mamas
 On Teaching and Learning Mathematics
 PhD + epsilon
 Retired Blogs
 Blog on Math Blogs

Recent Posts
Meta
Category Archives: Math
What is an Infinitesimal?
A guest post from Reginald Anderson at Kansas State University. Firsttime learners of calculus often struggle with the notion of an infinitesimal, and considering $\frac{dy}{dx}$ literally as a fraction can lead students astray in Calculus III and differential equations, when … Continue reading
Posted in Algebraic Geometry, Math Education, Teaching
Tagged Algebraic geometry, Math, Teaching
Leave a comment
A Eulogy Of Lipschitz Maps
A Lipschitz map (/function) is one that does not extend distances by more than a preassigned factor: $f: X \longrightarrow Y$ is Lipschitz if there exists an $L \in \mathbb{R}$ such that $$ \forall x, \ \ \forall y \ … Continue reading
Posted in Analysis, Math
Tagged Change of Variables, Lipschitz Maps, Luzin N Property, Radamacher's Theorem
1 Comment
Introduction to Ideal Class Groups
Algebraic number theory is a really interesting subject, but unlike some other subjects, it’s not 100% clear what objects people study. This post provides an introduction to the class group of a finite dimensional field extension of $\mathbb{Q}$, an object often … Continue reading
Intersection of a Chain of Subsets
Assume $\{F_x\}_{x \in \Gamma}$ is a collection of subsets (of a notso important set!) such that every two are comparable, i.e for any $x$ and $y$, either $F_x \subset F_y \ \ $ or $\ \ F_x \supset F_y \ … Continue reading
AMS Notices Spotlight October 2017
Hello and welcome to the October AMS Notices Spotlight. As we are now into the swing of the busyness of the semester it is sometimes nice to take a break and think about math not related to our classes. With … Continue reading
Posted in Algebra, AMS, Mathematics in Society, Topology
Tagged Algebraic Topology, AMS, Notices
Leave a comment