Spiral Challenge — Continuous Everywhere but Differentiable Nowhere

Megan Schmidt is obsessed with spirals. Her obsession got me hooked — for hours — on a math problem. I thought it would take maybe an hour or two, but I’m still at it and I’ve probably been working four or five hours. I’ve been having so much fun with it. Here’s the problem. Look at the […] via Spiral Challenge — Continuous Everywhere but Differentiable Nowhere

Sara Zahedi won one of the 10 EMS prizes

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 and analysis of computational methods, in particular finite element methods, for solving partial differential equations on dynamic geometries. The main application she has in mind is multiphase flows. She is…

Baum–Connes conjecture

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 theory, and homotopy theory, while the K-theory of the reduced {displaystyle C^{*}}-algebra is a purely analytical object. The conjecture, if true, would have some older famous conjectures as consequences. For…

Mathematics in the Movies — Mathematics, Learning and Technology

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

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 […] via Feynman Diagrams – Visual Depictions of Physics — Delightful & Distinctive COLRS

A Comprehensive Course in Analysis by Barry Simon

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 find simple and elegant proofs and to keeping the writing style clear Part 1 Real Analysis: Point Set Topology, Banach and Hilbert Space, Measure Theory, Fourier Series and Transforms, Distribution…

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

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

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 […] via Mathematics is In Everything — Delightful & Distinctive COLRS

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