Mathematical Definition and 1000 Threads

John lives in Dallas and his kitchen has a room temperature of about 70 degrees fahrenheit. He wanted to make her family some cookies for dessert, so he preheated her oven to 350 degrees fahrenheit. In 1 minute, the oven was 135 degrees fahrenheit. In 2 minutes, the oven was about 200 degrees...

Hello for All! Please recommend English-language books on mathematical modeling. Interested in a general theory. In Russian I know these books, but I would like to get acquainted with English. Thank you.

I recently completed my honours degree in Australia (4-year undergraduate with a year-long thesis and some grad-level subjects such as first courses in algebraic geometry, algebraic topology, GR, QFT and integrable systems) and am struggling to figure out what the best option for graduate study...

Hi this is a rather gentle question in that it involves no actual mathematics! Text often add rather strange words to a mathematical discussion. One such word that I have never really got to the bottom of is Canonical. So for example we talk about classical canonical general relativity...

I just found and bought this book on a whim. I have just glanced through it and have not started reading it seriously yet. I think it is a fascinating book. Have any here read this book? If so, what do you think? https://www.amazon.com/dp/1441921680/?tag=pfamazon01-20 (amazon link)...

Homework Statement "Someone with no initial capital ##S_0=0## invests ##k \frac{dollar}{year}## at an annual rate of return ##r##. Assume that investments are made continuously and that the return is compounded continuously." Find the solution ##S## that solves the differential equation...

is this a practical way of proving math theorems? i asked because when i tried, it seemed difficult for me to decide as to how exactly i should translate theorems and given statements into logical forms and since there are so many different ways, i do not know which one is correct. For example...

i am working for a small project at home , and for it i am using an infra red sensor . which returns a voltage value relative to distance . this picture describes the output : (given by the datasheet) : (the picture is highly precise) now all of the distances that i will be getting are...

When P -> Q, why is it true when P is false and Q is true, but why is it false when P is true and Q is false? If I suppose P mean "Jon is a guy" and Q mean "Mary is a girl". When both P and Q are true it does make sense that this proposition is true because Jon is a guy and Mary is a girl...

Most of it isn't helping so much. :sorry: I am convinced all "philosophy of xyz" where xyz is a subject, economics or physics is just trashing the subjects foundations and trying to prove it isn't sound.

Hello PF friends, My name is Visakhan,and I'm presently pursuing my BE in Mechanical Engineering in India. 3/4 way through the course now,But I feel unsatisfied with my grasp of mathematics and programming. I scored marks and passed the examinations,but i don't get that feeling of satisfaction...

Hi there! So for about a month, I've been self-studying mathematical physics using Mathematical Physics by Hassani. It's a big change for me, after only Stewart calculus, Boyce DE and some linear algebra course, but it's been loads of fun! Now, writing proofs is something fairly new to me, and...

So according to Max Tegmark, the highest level of multiverse is mathematical. Obviously this is very controversial as this goes into the realm of metaphysics. I wonder what this community thinks about it. Personally, this makes sense. Everything in physics is described using math. For example...

1.- The hilbert space approach does not include distributions (free particle, for example) nor mixed states. 2.- The C* algebra approach does not account for unbounded operators. 3.- Rigged Hilbert space approach does not include mixed states. I'm not sure about path integral formulation... so...

I'm taking mathematical physics and mechanics 1 next semester. What do you recommend to prepare? I've taken Calc 1-3, ODE, and (half) a semester of linear algebra. I dropped Linear Algebra midway through this semester because I wasn't prepared to take so many courses while working. Anyway, what...

I am having some difficulties in understand the convention of probability like P(A|E) ... And I am not able convert the questions into this for .I can solve those questions but can someone help me to understand this topic .And also multiplication theorem .

Hello, I have a question about the the difference between mathematical physics and theoretical physics in general and about the difference between the MSc Theoretical and Mathematical Physics courses at Edinburgh in particular. I am planning to apply, however I am not sure which of the two...

I'm still learning English, had to use dictionary and translator, so I'm sorry if its unclear, i will try to explain it more if needed. Homework Statement For n belonging to N when n is even and n > 3, prove that (4^(n-3) + 5^(n-3) + 9) is divisible by 9 Homework Equations 3. The Attempt at...

My quantum physics professor this semester showed us a useful book he had with tables of integrals, etc. in it called "Tables of Integrals and Other Mathematical Data" (4th edition) by Herbert Bristol Dwight. I have been considering buying this book from Amazon but was waiting because today was...

hi guys, I'm supposed to write a paper and do some research on all aspects of drilling regarding torque and force need to drill an oil well and everything from start to finish and to provide mathematical proof and calculations. I don't know where to start and what are the equations used to...

Here I would like to take the opportunity to suggest the addition of a subforum for the purpose of discussing quantitative and mathematical economics. This idea came up after I posted in a few recent topics (1st topic, 2nd topic). I am also partially motivated by QuantEcon, a website pointed out...

what do you think are the inspirations or motivations that lead to inequality statements like am-gm, bernoullie's inequality, etc...? are they inspired by physics, engineering...? learning them for the first time made me wonder where they came from. thanks!

Hi, I like mathematical physics and experimental physics, is it possible to change from one to another of these fields after earning PhD from one of them? Thanks

I am a Mathematics and Chemistry major with a Physics minor. I need to take one more mathematics elective course next semester. I had two picked out but both unfortunately overlap with other classes I am taking, so I am now trying to choose between Probability or Mathematical Statistics (course...

Which is more mathematical among The Princeton Companion to Applied Mathematics and Mathematics for Physics by Michael Stone and Paul Goldbart? Both of them are applied mathematics books. What are the main differences between them? Which is more mathematical i.e. mathematically advanced...

Is there a good mathematical definition of time?

I want to know how can I begin to exercise the representation of a phenomenon in a mathematical model.

Most of the lectures that I have watched online say that a symmetry exists when the mathematical form of the Lagrangian does not change as a result of some transformation, like a local gauge change. But how does nature "know" the mathematical form of the Lagrangian? Obviously, I am missing the...

Dear Friends, Could you suggest me some good textbooks in the mathematical physics that I can use for both studying and reference? I am currently reading Landau/Lifshitz' trilogy along with couple other books (Weinberg for gravity, Arnold, etc) in different branches of physics, and I need to...

Hi all, Is there a more advanced version of Mary Boas's Mathematical Methods? Specifically, these are some topics I would like to learn more about and work through problems on: 1. Uniqueness and Existence theorems boundary value problems with 2nd order PDEs of elliptic, parabolic, and...

Hi, I am currently applying to university and am an aspiring Theoretical Physicist. I see many different courses but the two I am not sure on are Mathematical Physics and Theoretical Physics. I was wondering what would give me a better foundation to go on to be a Theoretical Physicist, thank...

Hello everyone, currently working on a physics project. I was very curios about waterwheels and actually have an overshot waterwheel setup. I was testing how the efficiency of a waterwheel would be effected by the drop height of water onto the waterwheel. Do any of you have any idea how I can...

So, if you are a mathematician, does your mathematical ancestry come from one of these 24 families? http://www.nature.com/news/majority-of-mathematicians-hail-from-just-24-scientific-families-1.20491 Zz.

I have learned a lot from reading Sadri Hassani's book "Mathematical Physics", and have also had many frustrations with it. On the one hand, it covers both the classical and the modern methods of mathematical physics, a huge amount of material and at a good level. On the other, it sometimes...

Is there a mathematical proof for the existence of black hole.

Hi, I would like to know what universities are good at Mathematical Physics for pursuing masters/phds, both in America and Europe. Thanks in advance

How can we make a mathematical model for tracking micronutrients in an anaerobic system (Bioreactor) that has different chambers. The feeding ( Sargassum spp.) inters in the first chamber and should pass through the system 'til the last chamber. We know the concentration of micronutrients( Fe...

Homework Statement The graph shows the response of a bare thermocouple which has been subjected to a step change in temperature from 50°C to 10°C. Assuming that the bare thermocouple behaves as a single transfer lag system, determine the mathematical relationship between the temperature (T) and...

I've just begun learning c++ and what is very different from MATLAB (e.g.) is that one has to use include files. I was wondering if there's somewhere I can download mathematical #includes which already has stuff like matrix inverses, trigonometric functions, etc, defined. I think numerical...

Hello friends (I hope :biggrin:), For a maths project I am working on, I need to be able to prove the equation for an elliptical orbit, related to Kepler's first law: and p = a(1-e2) (or should be as p can be replaced by that value) Where: r = distance from sun to any point on the orbit p =...

There are certain explanations on how integers might have evolved, like for example "the wings of a bird to symbolize the number two, clover--leaves three, the legs of an animal four, the fingers on his own hand five."1 Seeing all these, and making experience short--abstract, can be said to have...

Is Philosophiæ Naturalis Principia Mathematica by Sir Isaac Newton, one of the top 5 Physics-Maths books of all times?

Homework Statement I'm doing quite a strict proof in school. Where we should proof something and use mathematical language and symbols. Homework Equations The Attempt at a Solution To proof what I have to proof I need to draw some help lines. As for instance the "red" one I did from A to B...

Hello all, I've done an MSc in Physics alongwith a BE in Electronics Engg, graduating in 2014. My scores are quite poor (GPA: 6.23/10), but I am interested in doctoral studies in Mathematical Physics. I wrote exams for PhD admissions here in India for this year but did not fare well enough for...

Is there any alternative books that teach you how to just do the problems rather than emphasizing why, and is there any books that emphasize why in an easier format? Something like a "mathematical methods for dummies" book? This is the book I'm referring to (...

There are many apparent paradoxes in quantum mechanics. Luckily, a careful application of math reveals that all is well. But can you figure out why the following ##7## challenges are not paradoxes? Rules: Do not look at paper [1] before answering. It contains all the answers in detail. Any...

Homework Statement Let a,b be in the positive reals. Prove a/b+b/a is >=2 Homework EquationsThe Attempt at a Solution I have no idea. Maybe add the two ratios: (a^2+b^2)/a*b and then try to analyze separately the numerator and denominator?

I didn't want solution of the following problem. When I was trying to solve the following problem, I found some difficulties that should be solved with the help of this forum. We can consider a substance of 0.5kg. It hits a horizontal spring with a velocity of 4 m/s. As a result spring gets...

Homework Statement a. Use algebra and calculus to find the positive fixed point p(c) (in terms of c) and identify its exact interval of stability. b. Use algebra and calculus to find the exact interval of stability of this fixed point c. Use algebra to find the point p1(c), p2(c) of the 2-cycle...

Some of proofs without words have been described using Euclidian Geometry, do those proofs still hold alike in Riemmanian Geometry?