cferko commented on the post, What it's like to be a PhD student of B. Halstead, on the site ITPM Blog 2 months, 2 weeks ago

This was not, in fact, “updated shortly when we decide where we will all go to college.”

itpmblog wrote a new post, Linear Algebra for Engineers, on the site ITPM Blog 7 months, 2 weeks ago

The following presentation builds on previous posts on linear algebra to establish the use of linear algebra in engineering. Building on the previous articles, this presentation includes a general summary of […]

itpmblog wrote a new post, Introduction to Proofs, on the site ITPM Blog 8 months ago

Proofs are, indeed, a difficult thing in mathematics. But mathematics is at its core *just* proofs, and less importantly calculations.

To prove requires a certain ingenuity to construct the right object or […]

itpmblog wrote a new post, What it's like to be a PhD student of B. Halstead, on the site ITPM Blog 8 months ago

Apparently we have some readers in the community of folks with whom Mr. Tetra Halstead associates. Good morning to you all.

Every other school day from 1:30–3:00, the four of us (J. Brewster, B. Halstead, D. S […]

itpmblog wrote a new post, Intro to Real Analysis, Cauchy sequences, and the definition of the Real Numbers, on the site ITPM Blog 8 months ago

In order to any kind of analysis we create a metric space. A metric space is a set equipped with a distance function $d(a,b)to [0,infty)$. We read this as “the distance between $a$ and $b$”. This must satisfy […]

itpmblog wrote a new post, Matrices in Calculus, on the site ITPM Blog 9 months ago

Examples are a very important tool in understanding mathematics, including linear maps and matrices. Common examples of linear maps include differentiation and integration where c = 0 as maps between vector spaces […]

onDrag's profile was updated 9 months, 1 week ago

itpmblog wrote a new post, Applications of Linear Algebra, on the site ITPM Blog 9 months, 1 week ago

Matrices are everywhere – computer science, engineering, movies, and, of course, linear algebra.

Before we can understand why matrices are such a useful tool in many fields, it is important to understand what […]

itpmblog wrote a new post, The Connexion Between Rings, Boolean Algebra, & Logic, on the site ITPM Blog 10 months, 2 weeks ago

Classical logic is used (by *some* mathematicians) to establish the basis of mathematics — but sets of statements in classical logic are also special cases of a variety of mathematical objects. One such object w […]

itpmblog wrote a new post, Making Shapes with Quotients, on the site ITPM Blog 10 months, 3 weeks ago

An understanding of quotients is an important prerequisite for creating various surfaces in Euclidean spaces with topology.

As a review, a quotient formalizes the idea of “gluing” points together by any poi […]

itpmblog wrote a new post, Intro to Visualizing Topology: Quotient, on the site ITPM Blog 11 months, 3 weeks ago

In topology we often think about what things look like. But fundamentally, these are mathematical objects and the jump to visualization is not trivial.

We often think in topology of gluing two different points […]

itpmblog wrote a new post, Topology & Calculus, on the site ITPM Blog 11 months, 3 weeks ago

If one is familiar with line integrals from calculus, one may have encountered vocabulary used in theorems to describe regions such as **open** and **closed**, **connected** , and **simply connected**. These all […]

itpmblog wrote a new post, (Mathematically) Making a 2×2 Rubik’s Cube, on the site ITPM Blog 1 year ago

Almost everyone has, at some point, played with the deceptively simple puzzle that is a Rubik’s cube. Even before studying pure maths, we had heard about the idea of Group Theory through an interest in Rubik’s Cub […]

itpmblog wrote a new post, 关于我们, on the site ITPM Blog 1 year ago

Chúng tôi là sinh viên năm thứ mười hai ở trường học viên quốc gia quận Morris. Chúng tôi chuyên về toán thuần túy. Brendan Halstead là thày giáo của chúng tôi.

itpmblog wrote a new post, Universal Property: How can we define mathematical objects?, on the site ITPM Blog 1 year, 1 month ago

In algebra we are interested in thinking about objects. Objects can be many things including numbers, sets, and many more complicated constructions. Category theory is a powerful tool which analyzes these objects […]

itpmblog wrote a new post, Bigger Infinities Than Infinity, on the site ITPM Blog 1 year, 1 month ago

Can you get a room in an infinitely large, yet fully booked, hotel? There are a lot of rooms to count in Hilbert’s Grand Hotel, an infinite number of them to be exact. A common understanding of infinity is that i […]

kasrastanimaths wrote a new post, Category Theory for the Mathematically Inclined Person(10/7/21), on the site Kasrastani Maths 1 year, 1 month ago

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height=”paperheight”}; […]rmehta wrote a new post, UPDATE, on the site My deep dive into Algebraic Geometry 1 year, 3 months ago

I’ve decided to migrate the content of the blog [here](https://rmehtany.github.io/notes/AlgebraicGeometry/) as I wasn’t particularly happy with the styling and features of the site. Be sure to check it out!

huzaifa03 wrote a new post, Basic Special Functions, on the site MATHEMATICS CLASS XI 2021 1 year, 4 months ago

Basic Special Functions are Absolute Value Function, Signum Function, Floor and Ceiling Functions, Fractional Part Function and Integer Function.

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hline text { notation } & […]huzaifa03 created the site MATHEMATICS CLASS XI 2021 1 year, 4 months ago

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