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Blogs about: Advanced Mathematics

A Definition of Determinant of Rectangular Matrix by M, Radic.

Ψε wrote 1 day ago: This post is about M, Radic’s generalisation of the determinant to rectangular matrices. I don … more →

Tags: mathematics, Linear Algebra, Algebra., Determinant, Matrices, Rectangular matrix, Recent research in Mathematics, Radic M

A simple demonstration of Cantor's Diagonal Arugment

collegemathteaching wrote 1 week ago: … more →

Tags: logic, Pedagogy, Sequences, Infinity

Composing a non-constant analytic function with a non-analytic one, part II

collegemathteaching wrote 3 weeks ago: I realize that what I did in the previous post was, well, lame. The setting: let be continuous but n … more →

Tags: Calculus, Analysis, matrix algebra, Complex variables

Composition of an analystic function with a non-analytic one1 comment

collegemathteaching wrote 3 weeks ago: On a take home exam, I gave a function of the type: and asked the students to explain why such a fun … more →

Tags: Derivatives, Analysis, power series, Series, Complex variables

C# High Frequency Trading Application Developer (Full-Time) $160-$200K Base - Midtown Manhattan, NYC

ITFinanceNYC wrote 3 weeks ago: C# High Frequency Trading Application Developer LOCATION: Wall Street Area, NYC TERMS: Full-Time … more →

Tags: Application Development, Full-Time, New York City, Equities, Derivatives, algorithmic trading systems, Quantitative Development, High Frequency Trading Systems, Linux

C++ Quantitative Developer (Full-Time) - Downtown, NYC - Salary Up to $130K Base+Bonus+Benefits

ITFinanceNYC wrote 1 month ago: C++ Quantitative Developer LOCATION: Wall Street Area, NYC TERMS: Full-Time    DESCRIPTION: We are l … more →

Tags: Application Development, Full-Time, New York City, Quants, Equities, Derivatives, algorithmic trading systems, Quantitative Development, C++ development

Quantitative Analyst: Algorithmic Trading - (Full-Time) - Manhattan, NYC

ITFinanceNYC wrote 1 month ago: Quantitative Analyst – Algorithmic Trading LOCATION: Midtown Manhattan, NYC TERMS: Full-Time S … more →

Tags: Application Development, Full-Time, New York City, Quants, quantitative strategy, Equities, market microstructure, algorithmic trading systems, SQL

Pointwise vs. Uniform convergence for functions: Importance of being continuous1 comment

collegemathteaching wrote 1 month ago: In my complex analysis class I was grading a problem of the following type: given where is compact a … more →

Tags: Analysis, Pedagogy, Complex variables, sequences of functions, uniform convergence

Humiliated by Convex Splines

collegemathteaching wrote 2 months ago: Update The writing in this article leaves something to be desired. I am going to clean this up a bit … more →

Tags: Calculus, Data Fitting, Applied mathematics, Numerical methods, applications of calculus

A Grant for Citizen Science

Steve Barrett wrote 3 months ago: How can students observe high energy cosmic events that are invisible to the naked eye? From a cell … more →

Tags: Physics, Upper School, Middle School, grant, American Physics Society, Citizen Science

So you want to take a course in complex variables

collegemathteaching wrote 4 months ago: Ok, what should you have at your fingertips prior to taking such a course? I consider the following … more →

Tags: Calculus, Differential Equations, Derivatives, Applied mathematics, integrals, Analysis, Complex variables

Striking a balance between precision and being intelligible

collegemathteaching wrote 5 months ago: Ok, what do we mean by: ? Now, what do we mean by ? Of course, the answer is “it depends … more →

Tags: Applied mathematics, Numerical methods, Pedagogy, vector spaces, matrix algebra

Finding a Particular solution: the Convolution Method

collegemathteaching wrote 6 months ago: Background for students Remember that when one is trying to solve a non-homogeneous differential equ … more →

Tags: Calculus, Differential Equations, Derivatives, Applied mathematics, integrals, laplace transform

The Incalculable

Neo Zen wrote 6 months ago: AT THAT TIME the enlightening being Mind King said to the Buddha, “World Honored One, the budd … more →

Tags: Buddhist Sutras, Flower Adornment sutra, incalculable, measureless, Boundless, Incomparable, innumerable, unaccountable, Unthinkable

Differentiation Under the Integral Sign2 comments

collegemathteaching wrote 6 months ago: Suppose we have and we’d like to know what is. The answer is . This is an important result in … more →

Tags: Calculus, Differential Equations, Derivatives, Applied mathematics, integrals, laplace transform

The Picard Iterates: how they can yield an interval of existence.

collegemathteaching wrote 7 months ago: One of the many good things about my teaching career is that as I teach across the curriculum, I fil … more →

Tags: Differential Equations, uniqueness of solution, Taylor series, Numerical methods, numerical solution of differential equations

Partial Differential Equations, Differential Equations and the Eigenvalue/Eigenfunction problem

collegemathteaching wrote 9 months ago: Suppose we are trying to solve the following partial differential equation: subject to boundary cond … more →

Tags: Calculus, Differential Equations, Partial Differential Equations, Applied mathematics, Physics, linear albegra, Fourier series

Quantum Mechanics and Undergraduate Mathematics XV: sample problem for stationary states

collegemathteaching wrote 9 months ago: I feel a bit guilty as I haven’t gone over an example of how one might work out a problem. So … more →

Tags: Partial Differential Equations, Applied mathematics, Physics, quantum mechanics

Quantum Mechanics and Undergraduate Mathematics XIV: bras, kets and all that (Dirac notation)

collegemathteaching wrote 9 months ago: Up to now, I’ve used mathematical notation for state vectors, inner products and operators. Ho … more →

Tags: Science, Applied mathematics, Physics, quantum mechanics, linear albegra


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