Mathematics Definition and 995 Threads

Hello all the intellectuals! how to learn mathematics utterly on your own in a very profound manner like the way mathematicians do also you can share the way you study it. I've graduated from high secondary school several years ago but at that time I've study Math only for acquiring good grades...

Happy Pi Day everyone! https://www.piday.org/pi-facts/

Where is best place to buy math/physics books, textbooks online? What site has best combine shipping option? Problem is shipping is often higher than book, when you buy a few books, shipping kill you. Especially if you are from EU and buy from US, Asia

Hello, I was wondering how to check how much math I know and learn math up to High school level. Currently I am trying to learn the basic maths where I think i am weak. To give a light on how much i know, recently I learned that 1+1=2 is actually true. 1 cup + 1 cup = 2 cups. 2 cup - 1cup = 1...

I am very interested in theoretical and mathematical physics. I am not though from IITs but one of NITs in India - doing msc physics. My CGPA in MSc Physics till 3rd sem is 8.63/10 (to convert in german system, its like 1.8 or something) with top most grades possible in fundamental subjects like...

I have a Bachelor's degree in physics with a minor in mathematics as well as some formal education at the master's level. I have continued to educate myself after graduation by studying on my own. I am most interested in quantum field theory and general relativity. Someday I hope to deepen my...

Hello, My name is Nikolaos Bafitis, and currently I am student at St. Johns College Highschool in DC. Two years ago I moved back from Italy where I stayed in for 3 years. Upon my return to the US I have noticed that I seem to be getting slower at math skills and speed after being placed in...

Can mathematics rest on new foundations? See the attachment. a little explanation about the form of addition adding or joining , as performed R a+b=c same as now, combined numbers 222+33=2253, when they are the same along (gap) they are joined, here 2 and 3, we get 5 R2 here there is an...

Hello, I am a new member here. I'm a student currently learning about numerical solutions to PDE. While searching about few topics in Google I found out that many results send me here. So here I am. Thanks to all people who are moderating and managing this site.

What level of math is needed for IPhO? I know that basic knowledge of calculus (basic differentiation and integration) and vectors (addition, dot product, cross product, etc) is definitely required, even just to derive basic results. However I've heard that you need other stuff as well such as...

I am a physics Bsc student, but I want to be a mathematician. I will do a masters before a PhD. But most good international Math masters programs won't take me in because I don't have enough math credits. (I can't take extra pure math in my stupid uni). But I am self-studying undergrad pure...

This Physics Problem is Unsolvable This is the question presented in Sabine Hossenfelder's video. What would be the consequences of this statement?

Hello All, I am an 8th grader taking honors geometry at the high school. I am accelerated in math by one year, but it quickly got boring and I wanted to do honors algebra II. I took the test for geometry (midterm and final) and failed to pass. This was about 4 months ago. I am trying to double...

Hi everyone! I would like to get advice concerning my math course for the spring semester. For context, I am a Harvard freshman planning to double major in physics and mathematics with the long-term goal of doing research in high-energy theory and/or mathematical physics. I am currently...

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I have developed a website aimed at bright students who are getting towards the end of high school or are in the gap before they go on to university, and who want to stretch themselves a bit and tackle some physics that goes well beyond the school curriculum but is nevertheless accessible with...

A passcode having 2 fives implies that order does not matter (5 7 5 is the same passcode as it would be if we switched the 2 fives). There are 8 available digits in total, but 5 is being used twice, so we only have 7 options for the third number in the code. There are 3 possible cases for the...

Hello Physics Forums, I come from the math/statistics side. I have no formal Physics training beyond basic physics in university. But I do work with some hardcore nuclear medicine physicists... the kind that build their own novel PET/SPECT scanners and stuff like that. Anyway, my mathematical...

Classic text in very good condition. It is ex libris so contains the usual writing on the flyleaf, library stamps, and a card pocket in back. The spine is free of the usual white sticker of card catalog information, however, because the book was enclosed in a plastic slipcover. As a result, the...

Hello, This month, I've solved around 700 problems in trigonometry. And, I probably went over 200 problems again to internalize a few concepts, but I still have that feeling that I'm missing something. Last week, I was practicing math in cafeteria (early in the morning) and my math professor...

https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence

Hello, I was lying in bed the other day and an idea came to my mind. How does one actually solve a problem? Now, I know this question is impossible to answer, but I would like to know your strategies when it comes to solving problems. I would like to make an analogy to this. Let's say that you...

In the latest edition of Scientific American, they had an opinion piece titled The Paradox of 1 – 1 + 1 – 1 + 1 – 1 + …. For those with access: https://www.scientificamerican.com/article/1-the-paradox-of-1-1-1-1-1-1/ Scientific American, the once-venerable publication I eagerly awaited every...

hi, i love watching videos about physics and mathematics, but i have no practical knowledge, i could not make the calculations or predictions for anything ;)

Hi everyone! I'm currently doing a bachelors in mathematics engineering. Still, there is some physics involved :) I'm looking forward to spending some time here and to interact with you guys!

I am a physics major in the second year and always have loved maths. Now that interest has grown into something bigger and I am thinking of taking some recognized distance courses in mathematics so that I will have something to show in case I decide to do a masters in mathematics. It will be...

Hello, due to my age it's been at least 40 years since I needed to carry out in-depth calculations where I could use some support. Hopefully some of you out there can point me in the right direction when the going gets tough. The forum attracted me due to the wide variety of discussion topics...

I have been a long proponent of beginning calculus being introduced early in math education at about grade 7 or so, and in the US (with or just after Algebra and Geometry), Calculus BC is taken in grade 10 or even earlier. It's not well known, but believe it or not, a few hundred students in...

I’ve been self studying some of the concepts related to General Relativity, by trying to model Geodesics and calculate distances on curved surfaces. I found that I seem to understand some of the concepts related to the math, but not others as when I try to make some calculations I find that my...

Hello! As the topic suggests, atm I am a math grad student, beginning my 2nd and last year after the summer. Note that I have allmost taking more physics courses than math courses during my first year, and to me theoretical physics research seem more appealing than pure math research. Would...

Hello, I'm an old fart, that used to self study GR and tensor calculus. I have a BS ECE from UCD, and a MS EE from Stanford. I've since retired from my electrical engineering career which was mostly at the old HP's Stanford Park Division, and I find myself once again pondering these things. I...

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Hi, Im completly lost regarding the following exercise: Unfortunately, I don't understand how to prove the statement using the chain rule. The chain rule is always used if there is a composition, i.e. ##f\circ g=f(g(x))## then I first have to calculate ##g(x)## and insert this result into...

Hello, I'm a materials engineering undergraduate student. I would love to combine math and materials, what fields will allow me to combine these two?

My name is Feliz. I am doing a self-study of college algebra. I am not a classroom student. My student days ended in December 1993. I've always enjoyed mathematics and decided to conduct a review of material learned long ago.

I OFTEN see ridiculous math statements in the public media, usually limited to such publications as Time Magazine and others of that ilk, and even more so on the Internet, but occasionally even in more serious media such as the NASA web site and The Economist. Just ran across another one on the...

I figure one can dig around for plenty of quality problems online, but I'm hoping to skip right to the good stuff by you posting your favorite real analysis problems from college, internet, textbook, dream, imagination, etc. It would be so helpful to get some comments this time, and please don't...

Am a graduate of Nairobi University in Bachelor of education science (Physics and Mathematics)

Hello all I'm new here hopefully I can get some help with some engineering mathematics.

I've come here to ask any future questions I have regarding physics, mathematics or engineering. Thank you very much.

The books from MIR publishers just seem so hardcore I loved a lot of the books, most of the introductory mathematics I learnt is from Russian texts. Any recommendations y'all for cool books around the time or rare texts in general My college has a nice library and I just want to read everything...

One of the discussion questions for my class this week was to express the condition "p is a prime number" using formal logic. The answer my uni's got is (∀d∈N)[(d>=1∧p≠1)∧(d|p⇒((d=1)∨(d=p))]. My interpretation of this is all the natural number d that (satisfy d>=1 and prime number is not equal...

Hi friends, I was wondering if you could give the definition of 'closed form', with examples of closed form solutions and open? form solutions. Foe example, is this a closed form solution? $$\sum_{k=1}^\infty \frac{1}{2^k}$$ Or this? $$\sum_{k=1}^5 \frac{1}{2^k}$$ Thanks.

Hi; please see below I am trying to understand how to get to the 2 final functions. They should be the same but 6 for the first one and 2 for the second? (I hope my writing is more clear than previously) There is an additional question below. thanks martyn I can't find a standard derivative...

A recent question about interpretations of probability nicely clarified the role of the Kolmogorov axioms: [... some excursions into QM, negative probabilities, and quasiprobability distributions ...] Conclusion: the Kolmogorov axioms formalize the concept of probability. They achieve this by...

Now in my understanding from text ...just to clarify with you guys; the pde is of dimension 2 as ##t## and ##x## are the indepedent variables or it may also be considered to be of dimension 1, that is if there is a clear distinction between time and space variables. Your insight on this is...

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https://www.quantamagazine.org/maze-proof-establishes-a-backbone-for-statistical-mechanics-20240207/

Unless i am missing something; there is an error with the textbook It ought to be , ## t= \sqrt {\dfrac{1}{0.04}}= \sqrt 25 = 5## seconds.

Self-study mathematics and physics at first-year university level. So a freshman in retirement.