Mathematical Definition and 1000 Threads

I am quite sure at least some members here have their own particular way to go about learning a new topic or concept. But, does anyone have any advice for self learning something that is completely new or different without the help from classmates or a teacher about? I am self learning math...

<< Mentor note -- posts broken off from an Insights comment thread >> [/color] Ok, this is where I show my ignorance, but all this is theoretical and why I get lost with these academia discussions. Time is just a mathmatical construct to measure the motion of two or more objects relative to...

Hey. Undergrad UK Chemical Physics student here. Looking for some advice when it comes to sorting out my degree path. First however. Some background info for those unaware with the degree 'system' in the United Kingdom: Most Universities in the UK have you apply for degree programs through...

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Gauge Fixing Continue reading the Original PF Insights Post.

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Reduced Phase Space Continue reading the Original PF Insights Post.

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Gauge symmetries Continue reading the Original PF Insights Post.

Mod note: Moved from Precalc Homework, as this seems to be a more general question. Hi, Which mathematical objects (numbers, functions, figures, etc) are more common in nature? I mean the mathematical objects which could more easily be identified with nature. For example, circles and triangles...

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Propagators Continue reading the Original PF Insights Post.

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Phase Space Continue reading the Original PF Insights Post.

If I need to solve the equation x^2 + x = 5, I can recognize that it’s a quadratic equation, change it to x^2 + x - 5 = 0, and then plug into the quadratic formula. In general the way that math is taught, I recognize what type of problem it is, then use the techniques that I was told to use to...

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Observables Continue reading the Original PF Insights Post.

What mathematical logic texts do MHB members think are the best at undergraduate level ... that is the best introductory texts ... Peter

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Symmetries Continue reading the Original PF Insights Post.

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Lagrangians Continue reading the Original PF Insights Post.

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Field Variations Continue reading the Original PF Insights Post.

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Fields Continue reading the Original PF Insights Post.

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Spacetime Continue reading the Original PF Insights Post.

Hi All, Sorry for the vagueness of the post; I promised privacy to a friend who just obtained a patent. She asked me to find a way of testing the product. Since I have no access of any sort to a lab, I am considering doing Mathematical simulations. I wonder if anyone knows about this and/or has...

Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Geometry Continue reading the Original PF Insights Post.

Hello, I'm new here, i just really want to know, how do i study to become one? I'm at the middle of high school and i live in Mexico, where i live there are good universities but they just offer physics engineering degree, but i want to be a mathematical physicist, so do i plan to get an...

Is it not true that solutions of the EFE are stationary, in 4 dimensions? If so, it seems that the solution describing a black hole merger would be intractably complex. Are current descriptions analytical solutions, or numerical?

I came across this beautiful pearl https://arxiv.org/abs/1710.02105 https://arxiv.org/pdf/1710.02105.pdf which I like to bring to notice. Despite of its title it is heavier on theoretical physics than it is on mathematics, so I placed it in this forum. I think it is equally interesting to those...

I'm following a derivation in my lecture notes of total average particle number in an ideal classical gas (statistical physics approach). I follow it to the line (though the specific terms don't matter): \left<N\right> = e^{\mu/\tau} \frac{\pi}{2} \int_0^\infty \left(n \,dn \,e^{- \frac{\hbar^2...

Homework Statement A charged particle moves in a region of space where there is a uniform magnetic field B (in the z direction say,) and a uniform electric field E in the yz plane. Write the equations of motion for the particle. Then solve them, taking for initial conditions (at t=0) x=y=z=0...

Is there a mathematic model for the first law of dynamics? If no, do you think that this law can be modellized with maths?

how we can mathematically prove that in a purely inductive circuit current lags behind voltage by a phase angle of π/2?

This book is too expensive for me to buy. Can someone share ebook/ pdf?

I'm searching for a good online lecture series to go with the book Mathematical methods for physicists by arfken and Weber . Tell me If you know about such series . Other general tips on starting rigourous mathematical physics are also welcome.

I'm currently doing mechanical engineering undergraduate degree but I don't want to continue with this field for further education. I'm more interested in physics. That's why I have started studying on my own. I'm really confused how to start. I have purchased several classic textbooks on...

I am reading Real Mathematical Analysis by Pugh, and he claims that "All mathematical assertions take an implication form a --> b." However, is this really true? For example, the assertion, "There exist infinitely many prime numbers," doesn't seem to take the if-then form.

Homework Statement A friend and I are going through Vladimir Arnold's Mathematical Methods of Classical Mechanics, but I think my lack of a background in pure math / proofs is seriously hampering my ability to do any of the problems in the first chapter. For example: PROBLEM. Show that if a...

I'm going to start my first year as a Physics major in University, so I'll be taking first year Physics with one variable Calculus with Linear Algebra. I have taken math up to Calculus but I found that I have some gaps in Algebra, Geometry, and Trigonometry. Not any serious gaps, I know most of...

Okay, I have a good friend and he is into the idea of becoming a Mathematical Physicist; however, there's several issues at hand. He's in his mid 20's and attends a really cheap community college. Apparently his high school was horrible at teaching students good material; in other words, he...

Hello, all. I am looking for some good books to start becoming invested in mathematical logic, the foundations of the field of mathematics, and also basically in general the philosophical heart of this wide subject which has interested me greatly. Now I have already read Shoenfield and Halmos...

I'm a rising physics sophomore at a Japanese university. I've studied general physics, linear algebra, and analysis (actually, calculus of single and several variables with emphasis on analysis, everything was proven and the theoretical background was well explained) Other than that, I've...

In mathematical induction we prove statements using a proper technique just like in a following example: ##P(n)=n(n+1)## is an even number for every ##n∈N## we will check wether ##P(1)## is True/false, its true because ##P(1)=2## Now We will assume that ##P(k)## is true and using this we will...

I worked my way through this paper http://www.math.harvard.edu/theses/senior/lee/lee.pdf as part of a mathematics reading project and believe I have a fairly good understanding of the material. There is virtually no physics in this paper yet we seem to arrive at Dijkgraaf-Witten Theory quite...

Hi everyone I was wondering does anyone know any good first year undergraduate textbook of 'introduction to mathematical thinking' for self-studying ? thks in advance

In the IB diploma program, they ask for a "Mathematical Exploration", where I have to deal with a topic with mathematical tools. For example: How to get the perfect exit of Gymnastics Bars? In "exploration" you have to see the measurements, the angles, velocity trajectories, mathematical tools...

In physics are we going more mathematical?

I have a background in Calculus (Simmons and Lang), Linear Algebra (Lang), and Differential Equations (Simmons). I want to read a book in Mathematical Methods but I find that the treatment is just too superficial. Examples are, Mathematical Methods by Boas, Hassani, and Hobson. I want to know...

Most discussions about Bell's theorem meaning get at some point entangled in semantic and philosophic debates that end up in confusion and disagreement. I wonder if it could be possible to avoid this by reducing the premise, the basic assumption to its bare-bones math content in algebraic/group...

How important is for a physics undergraduate to know the mathematical proofs for every theorem learnd on the math courses? Is it better to trust the math, learn the intuitive notions, and then learn the methods and operations in a more mechanical way, memorizing formulas and steps through...

are spacelike and timelike orthogonal?what is the mathematical proof

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...

Hi all, I have an offer to do an MSc in QFFF at Imperial or an MSc in Mathematical Physics at Edinburgh, or (with luck) an MSc in Theoretical Physics at Kings College London (KCL). Technically, QFFF is the best (i.e most reputable) course - but I have heard very bad things about how it's...

Hello, I'm seriously considering switching degrees to Physics, however I'm not sure whether I should be taking mathematical physics or standard physics (my School has both as separate programs). Which one would you say has better prospects later on? I am planning on getting a Ph.D in this...

Buffon's Needle A floor is ruled with equally spaced parallel lines a distance D apart. A needle of length L is dropped at random on the floor. It is assumed that L no more than D. What is the probability that the needle will intersect one of the lines? This problem is known as Buffon’s needle...

Here's a review I just posted on CourseTalk.com (a review site for online courses, including MOOCs) of "Introduction to Mathematical Thinking," which runs on Coursera: IN A NUTSHELL: This MOOC has excellent content, but the Coursera platform and absence of an instructor undermine it. DETAILS...

Hi. Bell formulated local realism as follows: The probability of a coincidence between separated measurements of particles with correlated (e.g. identical or opposite) orientation properties can be written as $$P(a,b)=\int{d\lambda\cdot \rho(\lambda)\cdot p_A(a,\lambda)\cdot...