Any interest in alternative forms of math?

A side project of mine has been to create an alternative system of math that is as useful and true for all the things we use math for yet to do it with different concepts and ideas to act as counterpoints to illuminate the aspects of math that are truly universal vs the aspects that could develop very differently. For example, if we met aliens, what aspects of their could be very different from our own.

One such aspect is that negative vs positive is handled differently and is not a trait of a number, but rather is a trait of context and handled separately from computing magnitude.

Is anyone here interested in hearing about it or discussing it?

submitted by /u/darklighthitomi
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Vector Transformations in Linear Algebra

I hope I’m posting in the right place. I have no clue where I’m going wrong with this question.

If T is defined by ​T(x​)=Ax​, find a vector x whose image under T is b​, and determine whether x is unique.

Concrete example:

A =

1 -4 -4
-2 -2 -4

b =

-2
-2

I would prefer to know the concept, but if using this example (sorry for awful formatting) helps, that works too! Thank you!

submitted by /u/TorponProtedos
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Did anyone else find their first year boring in their math undergrad?

I decided to major in math because of all those cool mind blowing videos about math on youtube and because I thought I was pretty good at it, but a month and a half in, it just feels so repetitive. Implicit differentiation is literally just a bunch of algebra and linear algebra is just doing a bunch of arithmetic with matrices (even though that can be fun sometimes). The only course I really enjoy is my “intro to real anaylsis” which is a course that’s designed to make your life much easier when you get to real anaylsis in second or third year, and I like that course because it actually explains a lot of concepts of math that I didn’t really understand before.

I looked through the courses I would take throughout my undergrad and found out that the cool math courses don’t start until around third year, so right now I feel like I’m just gonna be bored until then. Did anyone else feel this way in their first couple years?

submitted by /u/MacAltAccount
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Undergraduate taking Graduate classes?

Not sure if this kind of post goes here, but I’m not sure where else to post.

I’m a freshman going to a top 30 school, and I’m majoring in Math and Physics. This year, I will finish multivariable calculus, discrete math, linear algebra, and ODE. I am taking the standard physics route, but I seem to be a few years ahead mathematically of what they’re teaching. I am interested in taking graduate-level courses for either math or physics by my sophomore or junior year (mostly introductory-level graduate courses, e.g., Graduate Topology 1 vs Undergraduate Topology 1).

Are there any recommendations for accelerating myself? How can I make my case to the department that I am able to assume such an intense load so early? I’m prepared to work very hard.

submitted by /u/neuron_soup
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N Pendulum formula?

Hi guys, I’m not a mathematician, just a regular folk with average knowledge of math. I’m a web designer, and was trying to do a double pendulum in Javascript. It was quite easy since the formula for simulating one it can easily be found online. However, when trying to do a triple or quadruple pendulum, I figured out you can’t just copy/paste the formula for finding the position of the second point, since adding a third or fourth point would affect how point 1 and 2 move.

As I said, I have pretty average knowledge of math and don’t know how it would affect a third point the other two. Do any of you have any information of where I can find n pendulums formulas that I could use? or some insights of what extra information is involved whenever a point is added to an N pendulum.

submitted by /u/ElOtroMiqui
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Advanced math in simple words

Hi r/Math,

It’s difficult to explain (in a sense of telling rather than teaching) advanced math to children or even some adults. However if you are really good at Maths you almost always can find a way. The problem is I’m not. That’s why I am asking if you can give me some elegant and simple examples from any part/field of math like mine written below (obviously I’m not the author, just heard it somewhere)

Th. Let G and H be groups, and let φ: G → H be a homomorphism. Then then image of φ is isomorphic to the quotient group G / ker(φ).

“Explanation to a 10 years old”. the CEO of a company doesn’t need to lead all employees; he just can give orders only to the heads of departments.

submitted by /u/kowalski_ideas
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Math journalist looking for help generating a few images for a general interest math book

Hey r/math,

I’m writing a book about various topics in advanced math, intended for a general audience. For the chapter on complex analysis I will be including a rough description of domain coloring and showing some images similar to this one from Wikipedia.

Would someone with experience generating these maps be interested in helping me make 3 images, over the next few days or weeks? I will compensate generously (Venmo, PayPal, or Cashapp) in exchange for world publication rights.

Comment below if you have experience with this and some free time! Thank you 🙂

submitted by /u/flabbergasted1
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Quaternions/Octonions, difference in answers purely by sign?

I’ve seen a bit on Quaternions and Octonions and how they lose the commutative and associative properties, but it is implied that the difference in the answer is purely a change in sign. Is that truly the case?

I’m particularly curious about this as I’m making my own system of mathematics and one key difference is that in my system, sign is purely context and handled separately from calculating magnitude.

submitted by /u/darklighthitomi
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