Mathematics Definition and 995 Threads

What should the Mathematics requirements for Physics degree really be? The usual official requirement is three semesters of Calculus, and then one more combination course which combines some linear algebra and not-too-complicated differential equations. Often the Physics majors, at least for...

I think that the existence of subharmonics is also bifurcation.Is that true

Chaos is when the waveforms become aperiodic. I think bifurcation is the phenomenon inclusive of chaos and in addition, it is also termed for situations in which the waveforms become n-periodic.Does bifurcation include period-n phenomenon as well as chaos? From period-n it means that still the...

Is Set Theory a Construct? If yes, then what else are Constructs in Mathematics? Some website defines the word Construct as "something formulated or built systematically". I want to understand the meaning of the word Construct. Is the word Construct in mathematics same as the word Construct in...

I'm currently in my first year of a physics program and keep finding myself enjoying mathematics more simply because it makes more sense. I understand everything the teacher goes through but when it's mechanics in particular I simply keep coming to a stop when doing practice problems. I simply...

I am having a hard time trying to understand this transformation from lorentz:https://imgur.com/a/WYWMO (You should ignore the spanish part and just focus on the math). I can’t understand well why they turn into what you can see in the second picture, when taking really small values of x...

Hi, So I am currently a mechanical engineer working in aerospace designing and testing different interior assemblies, video arms, meal tables, etc. For a while now I have been thinking that this field is just not up my alley. I probably use Creo for about 80% of my time while the other 20% I am...

Homework Statement The picture below. Homework Equations cos2x=1-2sinx sin2x= 2sinxcosxThe Attempt at a Solution I got the modulus by using the Pythagoras theorem which is 2sin theta But I faced difficulty to find the argument. I have no idea why i end up with tan a (alpha) = cot theta which...

I was out and about today and observed a dog walker playing frisbee with their dog. I noticed the frisbee gliding gracefully through the air as the dog jumped to grab it, clutching the ring-like disc in its mouth. It got me to thinking about airflow over the disc, the lift and drag properties...

Hello I’m 21 years old and recently got accepted to start a bachelor of science degree in physics. This will be starting next February. I had left school at 17 due serious health issues so since school I’ve worked and also traveled to multiple countries, which for me was amazing. In school I...

Homework Statement Prove that \lim \frac{n+100}{n^{2}+1} = 0 Homework Equations (x_{n}) converges to L if \forall \hspace{0.2cm} \epsilon > 0 \hspace{0.2cm} \exists \hspace{0.2cm} N\in \mathbb{N} \hspace{0.2cm} \text{such that} \hspace{0.2cm} \forall n\geq N \hspace{0.2cm} , |x_{n}-L|<...

Clearly math is a product of human thought. But is there a prior reason for this? A possibility is that math is a byproduct of basic information that we obtain from nature, where that information come in the form of ideas in which we have to sort out into something more rigorous. We absorb...

Hey all, I'm a student in university who wants to Double Major in Computer Engineering and Physics or Mathematics. Ideally I want to get some time in working on quantum computers and some time in working on advanced AI, so one of the big things I want to do is pick the community's brain on...

Hi everyone, I am trying to learn the underlying number theory concepts behind cryptography, and I was wondering if anyone knows of good resources for learning about number theory as applied to cryptography. I was hoping to practice writing proofs as well. Thanks!

What are the math concepts I have to learn for Radiometry, Photometry and Thermodynamics (all Calculus-based) as applied in building science (engineering, architecture, etc.). I'm almost done with Multivariable Calculus and I'm aware that MV Calculus is necessary, but what specific calculus...

I was browsing the Play Store early this morning looking for a quality app that would allow me to practice and learn various mathematic topics on my mobile device. Surprisingly, none of the results were very good. There were a few basic "flash card" type applications with basic arithmetic, and...

This might be a naive question, but I were to ask you to briefly explain the ultimate foundation of mathematics in a formal manner to get to at least, say, the natural numbers, how would you do it? Where does it all begin? I would say that it begins with set theory, but in studying set theory it...

Sorry for the wrong prefix, but it is the most appropriate one that I could have chosen. I have been for long wondering if mathematics would be considered a discovery about the universe or an invention of the human brain. If it is a discovery, then math is the universal language of the universe...

Hi, I am currently an undergraduate student and I plan on taking advanced math courses such as Abstract Algebra, Real Analysis, Complex Analysis, etc. There are two courses which I think could help me prepare for the courses above as they are proof intensive: discrete math and bridge to advance...

Hi Everyone, I am a physics undergraduate students who intended to study General Relativity. I have planned to purchase or borrow one of the following books： 1.A first course in General Relativity by Schutz 2.Space time and Geometry by Carroll (I have heard that it is an advance textbook rather...

How much is it difficult for a person to write Gre subject tests mathematics and physics without mathematics and physics background? How long should they prepare?

Do you know about if this is possible or which schools offer a degree like this? Aside from mathematics I have taken the following courses related to biotechnology(science-based): General biology 1 and 2 with labs General chemistry 1 and 2 with labs General physics 1 and 2 with labs Mechanics...

I will be attending a university in this fall, and I have decided to double major in physics and mathematics. However what haunts me most is the very idea of research. I am supposed to be publishing something new in 4 years both in mathematics and physics for completion of my course. But I can't...

1.Find the Domain and range of f(x)= (x2+2)? 2.Find the Domain and range of f(x)=√x+2? 3.Find the Domain and range of f(x)=√x2-16? 4.Find the Domain and range of f(x)=√x2+5x+6? 5.Find the Domain and range of f(x)=√(3x-1)(7-x)? 6.Find the Domain and range of f(x)=√8+2x-3x2? 7.Find the...

How to Learn Domain,Range and Real Number Of Function Mathematics ? I have some math Questions for Solving? 1.Find the Domain and range of f(x)= (x+2)?

Hello! I am writing this to get some ideas for what to do with my future. This will be a long post so I should start by introducing myself… I am currently in the last year of my PhD studies and I will be starting my thesis soon (at least I hope so). My work is on classification theorems in...

Sign at a deli in Connecticut: "Please refrain from discussing mathematics while waiting in line." To hear the story, start listening at 13:40 of the audio file http://www.cbc.ca/listen/shows/as-it-happens/episode/13012528 I heard this on the CBC program "As It Happens" while driving my...

Hello. I came across a Quadratic Equation that looks like this. 5x2 + 4x + 9 = 0. The '5' in the above equation is called Quadratic Coefficient. The '4' in the above equation is called Linear Coefficient. The '9' in the above equation is called Constant. The 'x' in the above equation is called...

Common Core is evil. Everything is about funding and exams. One of my nephews came home with a math question that my brother could not answer. My brother is an IT Specialist for Western Union. He knows math but not Common Core math. Here is an example: Add 20 + 30. Old Fadhioned Method...

Hey guys I figured out something new about color theory in additive color mixing. So, the primary colors in additive color mixing are R, G, and B (Red, Green, and Blue). The secondary colors are C, M, Y (Cyan, Magenta, Yellow). Using basic knowledge we know that R + G = Y R + B = M G + B = C...

This will be fairly easy to do, even in the eyes of a Year 7 Find x when $$\left({1-\frac{1}{2}}\right)\left({1-\frac{1}{3}}\right)...\left({1-\frac{1}{2017}}\right)=x$$ Remember: Year 7 and 8 maths only!

Hello everyone, I took some physics course but i never could be that serious because I had some difficulties first and it kinda get snowballing then I failed/stopped. So, i want to catch-up/(revise??) undergraduate mathematics (physics). So, i have a summer to do that i think, i can catch-up...

Hello. I have been looking into trigonometric identities that helps to simplify a question in mathematics. But the question that I have is, why do I need to simplify a question? For instance: Sin(x) * Cos(x) means Sin(2*x)/2. I have no answer that tells me why I simplify Sin(x) * Cos(x) to its...

Hello, I tried looking this up a lot and just could not find it. For four bar linkage, Klein's construction is used to find velocity and acceleration of piston and connecting rod. Here is a link for the procedure of the same...

Hello everyone! I have been admitted in Utrecht and UvA (University of Amsterdam) for the Theoretical Physics masters. I am having a hard time deciding between the two and I was thinking that someone might have an opinion on one or the other (or even better on both). Any kind of information is...

I have the opportunity to receive a book of up to a $20 value that must be related to mathematics, actuarial science, or education, so I was trying to find a good mathematics of physics or mathematics of chemistry book. Some of the ones I found are: -Mathematics of Classical and Quantum Physics...

I'm a double major in physics and math. I have taken Calc 1-3, ODE, and linear algebra. This summer I'm taking PDE and in Fall I'll be taking complex variables. What other courses would you recommend?

Hey guys, Basically, my heart is set on studying mathematics at the doctoral level and I am trying to figure out what I need to do to get there/what tier of schools I realistically could be a competitive applicant for. I'm an Electrical Engineer from a state university that graduated with a...

I am studying maths out of hobby. I feel sometimes that I can not move ahead because I get stuck with tough problems. Even after I move ahead, when i come back after quite some time, i get stuck with the same problems. Sometimes it is frustrating. And my interest and attention levels are going...

you know all the things that you are supposed to study before algebra . any good book suggestions ? :nb)

Homework Statement Solve ## \frac{d^2y}{dt^2} + \omega^2y = 2te^{-t}## and find the amplitude of the resulting oscillation when ##t \rightarrow \infty ## given ##y=dy/dt=0## at ##t=0##. Homework EquationsThe Attempt at a Solution I have found the homogenious solution to be: ##y_h = A\cos\omega...

Whats the difference between (4/3) and -(4/3) Why ratio in external division is negative? I have answer for how it is negative but not why? X = (mx2+nx1)/(m+n) ⇒ (mx2+nx1) = X(m+n) ⇒m(x2-X) = n(X-x1) ⇒(m/n) = (X-x1)/(x2-X) From the above equation we can conclude that when division is...

I have a question about mathematics at the research level. How difficult is it to formulate new open problems in mathematics? For example, can a master's student create such problems? And a doctoral student? Or are only experienced mathematicians able to do this? Does this depend on the research...

I have one year left until I get my mathematics degree (applied). I am probably going to go to graduate school, but if I didn't what courses would you recommend I take? Maybe in general but more specifically for a job in a STEM field. I'm currently thinking of complex variables and vector...

Hey guys, Can the use of mathematics even describe or determines the real world? I mean, mathematical physicists always used and rely on math equations to abstract math "entities" like quantum field, virtual particles, quarks, gluons, etc. Can a physicist used math to determine the existence...

I have some data which I am encrypting using modulus - (data + 203) mod 200. If the data is 150, I get the result as 153. Is there a way to decrypt and get my data (150) back? I don't know how to calculate inverse of this operation...

Hello! I'm a European physics student with an interest in what I believe to be mathematical physics. I'm torn between going for a master in physics or one in mathematics as more and more it seems to me that the research areas I'm interest are often conducted in the mathematics department...

I've trying to organize my path of study in mathematics, but in every resources online are different. Can anyone request a great order of learning them or a real curriculum of schools. Thanks.

Hello. I have noticed that a fair amount of stuff on this forum uses various softwares, for which I am unacquainted with. Figured I might as well dabble, see of I can learn to use them. All on Google basically say 'I'm the best!' and I trust this forums judgement more than that of others on...