What we're about

This is a group for people who love math. It is for people who want to understand why things are the way they are. It is for children who asked too many questions. It is for the inquisitive, obsessive, and curious. For those who need to be convinced of the beauty of math, I appeal to those to who are much more smarter than me:

"Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show."

--Bertrand Russell

"Pure mathematics is, in its way, the poetry of logical ideas."

--Albert Einstein

Upcoming events (3)

Nonlinear Dynamics and Chaos

444 California Ave

Reading: Strogatz, "Nonlinear Dynamics and Chaos", Chapter 1 and Section 2.0--2.3.

Buy the book here:
shorturl.at/gkDGU

And here's a free PDF:
shorturl.at/fsQU8

Ayon Bhattacharya will be leading this event. The session will focused on videos on Nonlinear dynamics which you can see here: https://youtube.com/playlist?list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.[1][2] Nonlinear problems are of interest to engineers, biologists,[3][4][5] physicists,[6][7] mathematicians, and many other scientists because most systems are inherently nonlinear in nature.[8] Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems.

Typically, the behavior of a nonlinear system is described in mathematics by a nonlinear system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination of the unknown variables or functions that appear in them. Systems can be defined as nonlinear, regardless of whether known linear functions appear in the equations. In particular, a differential equation is linear if it is linear in terms of the unknown function and its derivatives, even if nonlinear in terms of the other variables appearing in it.

As nonlinear dynamical equations are difficult to solve, nonlinear systems are commonly approximated by linear equations (linearization). This works well up to some accuracy and some range for the input values, but some interesting phenomena such as solitons, chaos,[9] and singularities are hidden by linearization. It follows that some aspects of the dynamic behavior of a nonlinear system can appear to be counterintuitive, unpredictable or even chaotic. Although such chaotic behavior may resemble random behavior, it is in fact not random. For example, some aspects of the weather are seen to be chaotic, where simple changes in one part of the system produce complex effects throughout. This nonlinearity is one of the reasons why accurate long-term forecasts are impossible with current technology.

Source:https://en.wikipedia.org/wiki/Nonlinear_system

Chaos Meetup II: One-Dimensional Systems

444 California Ave

We'll be watching the second lecture of Steven Strogatz's Nonlinear Dynamics and Chaos course from Cornell.

We'll be studying: Linearization for 1-D systems. Existence and uniqueness of solutions. Bifurcations. Saddle-node bifurcation. Bifurcation diagrams.

Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 3.0--3.2, 3.4.

Buy the book here:
shorturl.at/gkDGU

And here's a free PDF:
shorturl.at/fsQU8

Past events (147)

Abstract Algebra Office Hour

Online event

Photos (109)