Mathematics Definition and 995 Threads

Help. I am having a problem choosing a topic for my math research project. Anybody have any ideas they'd like to share ?

From "Road to Reality" chapter 3 part two. If three ratios are known: M:N, A:B, C:D. A:B is greater than C:D if: A added to itself M times exceeds B added to itself N times and D added to itself N times exceeds C added to itself M times. Show that the ratio A:B is greater than C:D.

I am making some modifications of snake and ladders so that this purely luck-based game can have a strategy and used to learn mathematics as well. So far I only have this idea: Once a player roll the die he can choose to move his own piece forward equals the number shown on the die or move an...

Mathematics is a vast subject with a very long and rich history divided into many branches that usually begins by making precise and defining new intuitive rational concepts (often inspired by the perceived world or from existing mathematical or scientific theories) and develops by employing...

Everybody knows Mathematics it's an important field in every Science; and in Physics even more. So, if you have a PhD in Physics, for example Astrophysics; is it worthly to get a degree in Mathematics? I know that maybe there's some courses that would be completely useless in Physics, but you...

Hi everyone, I'm currently a third year Economics major hoping to switch to the Economics and Mathematics by the end of this year. Considering I should have been a Physics major in the first place, I have started taking Physics course starting from my third year in an attempt to eventually go...

Hi guys! I applied to a DPhil program on PDEs at the University of Oxford and recently got an offer without funding. I would love to attend this program, but as you may know, the tuition fees for international students are really high. My government could help me with 2/3 of the tuition + a (not...

What are the newest/most recent/contemporary maths? What are math recent discoveries which can be taught in school? Thanks.

My first 2 years in college I was a little lost in what I wanted to do so I completed almost all of my generation ed classes. I finally realized I love physics, I am interested in astrophysics although I know I have time and opportunities to change my mind . Happily I attend a school with a...

2 = X to the power x to the power x, until infinity. I really need to know how its possible for the answer to be √2

I am trying to work my way through Stephen Pope's "Turbulent Flows". I'm finding that my Achilles heel (as has been throughout my undergraduate degree) is maths. Since this book is essentially applied maths, I'm finding it difficult. So I'd like to simultaneously work through a course in...

Homework Statement At T1 the root mean square speed (rms) of compound P is 485.2 m s-1 and at T2 the rms speed is 504.1 m s-1. Using this data and the fact that T2 – T1 = 24.0 °C, determine the molar mass of P in g mol-1. Homework Equations From problem statement you have: (3·R·T1/M)1/2 =...

Hello I just want to know as an System Engineer student in my second year(I have 4 years in total) what kind of physics and mathematics will I use if going to work in a field let's say ( Electronic System or Electromechanical Systems or Computer). Thank you, Adrian

Hi, I wish to not only learn, but prove every theory I come across. This requires a ton of math research, and at this point, I am about to begin quantum mechanics, and general relativity after I finish up my differential geometry book. My question, I suppose, is after I finish differential...

Hi All, Was there any use of the concept of amplitudes of probability before their use in quantum mechanics? In connection to this question, who invented or was the first to use this resource? Best wishes, DaTario

http://www.pssc.ttu.edu/techhort/lasrvy/l_h.htm My learning style seams to be more holistic than linear, but it appears to me that physics and especially mathematics texts are written in a way that is best suited for linear learners. They very often give little or no context or motivation as...

Hello, I'm trying to self teach myself Fundamental Mathematics. I looked around, but I wasn't sure what to look for exactly. I read the part on Set Theory in "Book of Proof" by Richard Hammack. I enjoyed it, but I wasn't sure if it is rigorous enough to stand against a college level course...

Dear Physics Forum personnel, I am an undergraduate pursuing a major in the mathematics. My current undergraduate project in the computational virology really got me interested in the worlds of microbiology. The project involves both the biology and computer science, which is specifically...

Hello all, hope all is well. I come seeking ideas to present at my college's STEM Fair coming up in a few months. To give you idea of my mathematical background, I am currently taking Differential Equations(ODE) and Discrete Math. I have completed Calc I,II, Vector Calculus and Linear...

I am calculating the light intensity of Mercury. I was given the average distance from the Sun in AU's which is 0.39. Using the formula (1/(d^2)), I solved for the light intensity relative to Earth which I found to be 6.57. I need to find the light intensity in (w/(m^2))

Hi everybody I'm currently looking for an introductory quantum mechanics book which emphasizes the mathematical aspects of it. I especially need exercises in order to pass a written exam, but I'd like to have even lots of examples. I've already gone through the whole "Picasso" (it's an italian...

I will be writing a paper by modelling a system and its differential equations. I have just started brainstorming ideas but I would also like to hear other peoples' ideas as well! I have these ideas so far, can anybody suggest relevant articles or papers on these topics (avoid wikipedia if...

My Current Situation: I am currently a second semester sophomore at university going for a double major (BS in Physics and BS in mathematics). I went to college to get a physics degree . The mathematics degree is added on because I love mathematics and due to my strange circumstances had quite a...

Hello, i am currently enrolled in a Mathematics course which covers these subjects: -Calculus of Variations -Laplace Transform -Fourier Analysis -Special Functions -Integral Equations And as an introduction to the subject it has several things from calculus like maxima/minima of functions of...

Dear Physics Forum friends, I recently got interested in the Russian textbooks in mathematics, which I am completely blown away by their exposition, insights, and excellent problem sets. I have been reading translated versions of Russian books written by authors like Kolmogorov, Arnold, and...

I've asked many... what does it mean to major in math (pure). I am a first year sophomore and still undecided about my major.I used to get full marks on math tests n high school, but how can I know if I'm able to be something in math. Anyone can learn how to do math, but few can actually make...

I am 15, didn't pay attention in school, because I thought it wasn't necessary, I am reviewing every mathematics concept I should know, but no clue which ones to start out with, anyone got a idea, and in which order I should relearn them in? (Just btw, I learn faster then others, I just wasn't...

Are Newton's three laws all that was needed for the science that got us to the moon? Or did we need Einstein's theories to get there? I just started studying physics last week, so forgive me for my baseness.

I want a good linear algebra textbook in order to learn to use linear algebra in physics but also to use it in more theoretical mathematics courses. I hope that with this poll i will also help others that want to study from a proper Linear Algebra textbook.

I just sent my UCAS application for these degrees. Most probably I will end up with Mphys (maybe Msci), but I will see which universities accept me. Now my question is: what jobs/ careers can I pursue with this degree? What about this degree plus a PhD? And that besides teaching careers (I...

Hi, I'm new here and I'm trying to learn GR. I wanted to know the math books that I need to tackle GR properly, so far the books that I came across are: Tensor Analysis on Manifolds by Bishop and Goldberg Tensors, Differential Forms, and Variational Principles by Lovelock and Rund I have a good...

Hi. I've recently finished high school and am planning to study science/physics, hence I'll be doing a lot of calculus courses but I'm looking to do more than that. I was looking to find some good sources, whether they be online or in textbook format or whatever. As for where I'm at currently, I...

Hello Board!By eluding most math class' and homework as a youngster I have deprived myself effectively of a tool on which I am dependent nowadays. My love for mathematics if ever existent was ephemeral, unpredictable in its manifestation. I would either almost fail the class or would have...

Many times I have seen the claim that some text on mathematics is written in a "good Russian style". What does that mean? Somehow I've got an impression that it is a kind of opposite to the Bourbaki style. Namely, a Russian style would not consist of a dry series of abstract general theorems...

Note I'm not talking about Mathematical Physics. This is a Physical concept not a Mathematical concept. Speed of light is less than 300000000m/s. Physically, 300000001 (+1) m/s does not exist, but mathematically, this isn't impossible. So Physics is limited by our universe, but Mathematics is...

Hello everyone, I am currently a sophomore in high school (year 10 by the US system), with two years before I graduate to university. Last year, I began to learn calculus and physics on my own because they interested me. There is more to this story, but basically I seem to be at a crossroads now...

Hi all, I'm currently a freshman studying electrical engineering and I was wondering whether I should try to minor in Mathematics or Physics as a supplement to my studies. I feel like both of them have their individual pros and cons, but I'm not sure exactly what they would be/how they would...

Hello Forum Members I have masters in physics and working in education field in India, but want to pursue higher studies in mathematics abroad. So I should start with MS in mathematics. I am looking for schools that offer MS in math but have low tuition for international students. So what would...

I want to pursue a matametical career but all of us know that a good research career or even professorship at good universities needs a good amount of research papers. so what basically is research , is it contributing new things or giving depper understanding of a known fact for example a...

I am looking for a book concerning the foundations of mathematics. I am not talking about algebra or calculus but the foundation of the mathematical language( Axioms, sentential logic...). I hope you have understood the prior rubish. Thanks for any help.

Once the Spring Semester starts up, I'll be applying to become a mathematics tutor at my community college. I have good blessings for it from my Calculus Professor. I'll essentially be tutoring from basic developmental maths through precalculus and Calculus I. I've got the calculus down rather...

Hi, I am struggling to understand the maths in the text shown below. (1) How does: r(t) = Acos(wt)+Bsin(wt) become; sqrt((A^2)+(B^2))cos(wt - arctan(B/A))? (2) He states that we can represent the input as a phasor and in one of three ways but doesn't say which one. (3) He then focus on the...

I started with Mary Boas' book "Mathematical Methods in the Physical Sciences". Now it is stressed in the introduction to make homework and do the problems. However, I would very much like to know if I got the answers right, and I even prefer if the problems are worked-out. So I guess my...

Dear Physics Forum personnel, I am a collegiate junior at US with double majors in the mathematics and computer science, and an aspiring theoretical computer scientist. My current courses in the analysis and linear algebra, and undergraduate research in the theoretical computer science fired...

Hello, If I have an MSc degree in mathematics specializing in machine learning, is it possible to enter a PhD program in computer science (also specializing in machine learning)? Will the fact that my degree is in mathematics and not computer science prevent me from doing that? I have heard of...

Forgive me if I sound ignorant, but is it possible that quantum affects (value of h, why physical dimensions appear to come in discreet chuncks, etc) all stem from our mathematics (which originated as counting numbers -quantum steps). I do understand that calculus was invented to help remedy...

I am planning on transferring to a 4 year university to major in physics. I am currently overseas and must take classes online. After an almost endless grueling search I was able to find a school that offered an associates program online that I feel is in the right direction for what I intend to...

Hello, I am trying to understand the intuition of the definition of the period of a state in a Markov chain. Say for example we can go from state i to state i in 3,5,7,9,11... and so on steps. The gcd here is one. So is this aperiodic state or one with periodicity of 2. Thanks

Hello everyone, as those of you who have helped with my other threads know I'm currently a high school student and an aspiring physicist. I'd like to start out my post by saying that I completely understand that I am very early to be thinking this far ahead, especially when I haven't experienced...

Homework Statement Solve for the forces P and N acting on an object in equilibrium on an inclined plane. Weight=10N, angle is 30 degrees http://blob:https%3A//www.physicsforums.com/d431a152-5681-411b-ba57-809320539165 Homework Equations Trigonometry, i.e. sin, cos, tan rules. The 'Z' rule...