Archives:

Sara Zahedi won one of the 10 EMS prizes

30 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Sara Zahedi * 1981 in Teheran (Iran) Assistant Professor Royal Institute of Technology (KTH), Sweden EMS Prize 2016 „For her outstanding research regarding the development and analysis of numerical algorithms for partial differential equations with a focus on applications to problems with dynamically changing geometry.“ Research Interests Sara Zahedis research interests lie in the development • Read More »

Baum–Connes conjecture

30 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

In mathematics, specifically in operator K-theory, the Baum–Connes conjecture suggests a link between the K-theory of the C*-algebra of a group and the K-homology of the corresponding classifying space of proper actions of that group. The conjecture sets up a correspondence between different areas of mathematics, with the K-homology being related to geometry, differential operator • Read More »

Mathematics in the Movies — Mathematics, Learning and Technology

30 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

At the wonderful National Cinema Museum, Turin – holiday time this week! Thinking about Maths in the movies led me to this great collection of movie clips featuring Mathematics from Harvard University: http://www.math.harvard.edu/~knill/mathmovies/ via Mathematics in the Movies — Mathematics, Learning and Technology

Feynman Diagrams – Visual Depictions of Physics — Delightful & Distinctive COLRS

30 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Source: Quanta Magazine, Jul 2016 Feynman diagrams look to be pictures of processes that happen in space and time, and in a sense they are, but they should not be interpreted too literally. What they show are not rigid geometric trajectories, but more flexible, “topological” constructions, reflecting quantum uncertainty. In other words, you can be […] • Read More »

A Comprehensive Course in Analysis by Barry Simon

28 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

In the second half of 2015, the American Math Society will publish a five volume (total about 3200 pages) set of books that is a graduate analysis text with lots of additional bonus material. Included are hundreds of problems and copious notes which extend the text and provide historical background.  Efforts have been made to • Read More »

Maryam Mirzakhani: the first woman and the first Iranian honored with the Fields Medal

27 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

In 2014, Mirzakhani became both the first woman and the first Iranian honored with the Fields Medal, the most prestigious award in mathematics. The award committee cited her work in “the dynamics and geometry of Riemann surfaces and their moduli spaces.” Her research topics include Teichmüller theory, hyperbolic geometry, ergodic theory, and symplectic geometry. More Information: https://en.wikipedia.org/wiki/Maryam_Mirzakhani

Mathematics is In Everything — Delightful & Distinctive COLRS

27 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Source: Asian Scientist, Jan 2016 These days, Lamport wants to impart the following message to programmers: using mathematics allows you to approach coding in the way an architect would approach designing a building—both precisely and abstractly. “Science requires precise thinking, and mathematics is what has developed over a couple of millennia as our best way […] • Read More »

Algebra 2 Teacher Blogs! — I Speak Math

27 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Check out these blogs from teachers who teach Algebra 2! If you teach Algebra 2, Pre-Calculus, Math 2, or Math 3, then please scroll down to add your blog to the list! These are the blogs of the teachers who signed up to connect already. You can fill out the form at the bottom. I • Read More »

Curiosity & Creativity Benefit Humanity — Delightful & Distinctive COLRS

26 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Source: Straits Times, Jan 2016 Other vivid examples in his lecture bore witness to the power of beautiful things in inspiring the mind of the mathematician. Like the beautiful and complex shapes of corals in the sea that actually follow very simple mathematical rules. Drawing connections between seemingly far-flung subjects is a hallmark of Prof […] • Read More »

Lusin’s Theorem and Egorov’s Theorem — Singapore Maths Tuition

24 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Lusin’s Theorem and Egorov’s Theorem are the second and third of Littlewood’s famous Three Principles. There are many variations and generalisations, the most basic of which I think are found in Royden’s book. Lusin’s Theorem: Informally, “every measurable function is nearly continuous.” (Royden) Let be a real-valued measurable function on . Then for each , […] • Read More »

Iterative Methods — Mathematics, Learning and Technology

24 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Looking at the new content for UK GCSE Mathematics a completely new entry on the specification is “find approximate solutions to equations numerically using iteration”. Teaching the new specification this year I needed to work on this and wrote this post; GCSE New Content – Iterative Methods for Numerical Solution of Equations. I see from • Read More »

What is the fundamental group of a topological space

24 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Refurio Anachro a initialement partagé ce post dans journeys in higher maths : What is the fundamental group of a topological space (a so-called manifold)? For example, a knotted loop? To understand a knot K, we want to understand how it behaves, what we can (or can’t) do to it. Since the knot has to stay • Read More »

A Great Book in Mathematical Analysis

23 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Was plane geometry your favorite math course in high school? Did you like proving theorems? Are you sick of memorizing integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is pure mathematics, • Read More »

Noncommutative spectral geometry of Riemannian foliations: some results and open problems

19 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Yuri Kordyukov (Submitted on 5 Jan 2006 (v1), last revised 6 May 2006 (this version, v2)) PDF We review some applications of noncommutative geometry to the study of transverse geometry of Riemannian foliations and discuss open problems. Comments: 35 pages, final version, minor changes, to appear in Proceedings of the Conference “Foliations-2005” (Lodz, Poland), World • Read More »

The most Striking Theorem in Real Analysis — Singapore Maths Tuition

17 Jul 2016 | By Diranlou | 1 Comment | Filed in: Journal.

Lebesgue’s Theorem (see below) has been called one of the most striking theorems in real analysis. Indeed it is a very surprising result. Lebesgue’s Theorem (Monotone functions) If the function is monotone on the open interval , then it is differentiable almost everywhere on . Absolutely Continuous Functions Definition A real-valued function on a closed, […] • Read More »