Mathematics Definition and 995 Threads

Hi I'm a bit confused about some mathematical notation If i write f(x)=(2x^2 + 10)^4 And i define u= 2x^2 +10 u^4 = f(x) Would it then be correct to write f(u)= u^4 Or would i get f(u)= 2(u)^2 +10 = (2(2x^2 +10)+10)^2 Should i define u^4 = f(x) first? Would it then be correct...

I am not sure if this is the right part of the forums to post this, but I was reading the book Surely you're joking Mr Feynman when i reached this part: This got me thinking. How does one "understand" physics and mathematics? It's certainly more than remembering some formulas. What do you think?

I am looking for mathematics book required for Susskind's lectures on theoretical minimum?

Hey! So I am in a bit of a situation, let me explain: I did my GCE A Levels (British high school curriculum) and did not do too well in Physics in particular, due to some serious health issues. I am now in university. I started out taking a biology major and, after continuously dealing...

Dear Physics Forum advisers, I am a rising college junior (five-years tract) with a major in mathematics and an aspiring mathematician in the fields of theoretical computing and cryptography. I apologize for this sudden interruption but I wrote this email to seek your advice on the impact of...

Homework Statement Derive the function for the acceleration from this function v=√(2P/M)(√T) The answer is √(P/2MT) I have tried many different attempts but I am still unable to reach this answer. [/B] I am sure the process to get to the answer is a simple one but for some reason I am...

Please forgive me if the question is too ambiguous. I've run into mathematics that I've never dealt with before (I only have encountered very basic probability and statistics). Correct me if I'm wrong, but think I see a bit of topology is used in the second and third sections (though this could...

It's not a homework help question, but it's somewhat related, and doesn't have a better sub-forum: how do you guys/gals remember all the intricacies of mathematics so well that you can help people like me? I ask this because, like many people, I've done it all before, but when I pour over the...

Hi, Just wondering: What Latex editor would you recommend for a beginner for writing a lot of mathematical equations?

Hi folks! Not sure if this is the ideal place to be posting this but looked as good a forum section as any! I'm starting an MSc entitled "Space Engineering" at the start of October and want to make sure my skills are up to scratch before I start! In my undergrad studies I just learned the maths...

I am trying to understand the mathematics of quantum eraser experiments, in order to deepen my understanding of what is really happening. The paper I am currently working on is: "A double-slit quantum eraser" by S. P. Walborn, M. O. Terra Cunha, S. Padua, and C. H. Monken (2001) in which a...

I'm asking because I'm slow when it comes to mathematics in Physics exams , and I was wondering if Universities cater for people who are slow thinkers by making Physics exams longer than high school exams?

So I am a High school student from Australia and I'm slow when it comes to mathematics (2 Unit) and I'm not doing to well in the tests, I'm getting around 50%. I was wondering if I should drop to general Maths, which I know isn't recommended for University Physics. The recommended is instead...

I recently graduated from High School (or Sweden's equivalent). I am entering quite a difficult university program studying physics / math in a couple of months. I am interested in self-studying this summer simply because I find the subjects fascinating, especially the mathematical side of it...

Hi Guys, I am taking a quantum mechanics course next semester that follows Sakurai's book. I was wondering if there was some mathematics I should study over break in preparation for this course. I have taken so far: Calc 1-3 ODEs PDEs Linear Algebra An elementary course in group theory Ill...

Suggest good books to read in an order for one to gain profundity in the particular subject. This may seem to be a rather baffling task, due to the amount of subjects and it's vastness, but if it is done, it could certainly be extremely useful, especially for people like me who are highly...

I want to learn QM but in a way that i can learn both the deep mathematics, the physical intuition behind QM and the intuition behind the maths behind the QM(not many books have this). Note that this is my first attempt to learn QM and i will be watching some video lectures online,so i won't be...

Hello, I'm a 25 year old norwegian male currently studying in my spare time. I have to take a few tests (high school level maths and physics being the most relevant ones) so I can attend university in the near future. My goal is to complete a master's degree in computer science or neuroscience...

I use to hate math during high school. However some eight years after graduating and being in the military help with my attitude towards math. I am reviewing a GRE math review book and I haven't been able to put it down. I just learned quadriatic equations and am pursuing into intermediate...

Hi everyone, :) It's quite interesting to note that there are several research papers written about Mathematics and its relation to Autism. Have any of you done any research on these topics? I find it quite intriguing. :) Brain organization underlying superior mathematical abilities in...

Hi everyone, I'm currently researching graduate schools in mathematics. I would like to go for a PhD. My question is, do I apply directly to the PhD program? Or do I apply to the Master's program and apply for the PhD afterwards? What do people normally do?

Hello, I need some book which covers all the essential mathematics(especially calculus) required for first year Physics. I am not sure whether I should first study the math rigorously or just concentrate on applications. Any advice is welcome.

Question: At what angles must be the two forces ##\vec A+\vec B## and ##\vec A-\vec B## act so that the resultant may be : $$\sqrt{ A^2+B^2}$$ Attempt at solution : Let the given forces be ##\vec F_1=\vec A+\vec B## and ##\vec F_2=\vec A-\vec B## . Now, Resultant vector : ##\vec F_1 + \vec...

47 x 62 = ? (40+7) x (60 + 2) 40 x 60 + 40 x 2 + 7 x 60 + 7 x 2 2400 + 80 + 420 + 14 2480 + 434 2914 Consider a rectangle with dimensions 47 units by 62 units. The rectangle can be subdivided into four smaller rectangles: 40 x 60, 40 x 2, 7 x 60, 7 x 2. So when kids multiply two...

Hi! I'm considering a maters degree in mathematics as the title suggests. Right now I have to decide a specific topic and I've narrowed it down a bit but I'd like some input from people in the field (or getting into the field). I am inclined to research something applied in physics. Here's what...

As part of a personal musicology project I found myself with the mathematical model of a geometry which utilizes the equation a*(a/b)sin(pi*x) The only problem with this is that I need to take the integral from -1/2 <= x <= 1/2, and according to Wolfram Alpha no such integral exists. I can...

Homework Statement Hey guys I am having a bit of a difficult time with this question, if some one could help me out it would be appreciated, thanks. Consider the following argument. "If the weather is fine, and the train is early, then the dog will sit on the tuckerbox. The train will be...

From the top of a cliff, which runs North-South, the angle of depression of a yacht, 200 m out to sea and due east of the observer is 20 degress. When the observer next looks at the yacht he notices it has sailed 150m parallel to the cliff. Find: The angle of depression of the yacht from the...

Hi all, My husband has a Master's degree in Applied Mathematics and we've been job searching for over 6 months now. Only gotten a couple of interviews and sent out hundreds of resumes. I feel like we're doing something wrong because I've always read/heard that people with this major should be...

What is mathematics books need to read to well understand Quantum Field Theory of Weinberg Vol 1,2,3?Please hint me some group theory books?I know not much in representation of group.

Are there any good first year textbooks which cover first year differential (limits, partial derivatives, intro vector calculus), integral calculus, DEs, AND linear algebra - vectors and matrices. other stuff like complex numbers, infinite series, etc would be a bonus. As in a single textbook...

I know physicists are not about analogies. For example there is no real analogy for quantum entanglement or super positions in the real world. But the problem is that we don't really have a theory for everything now, and relativity and quantum fields are not consistent right? So could it be...

In your opinion, what is the most difficult written text (e.g. a book or a paper) on mathematics? My candidate: Principia Mathematica by Whitehead and Russell

http://nautil.us/issue/24/error/in-mathematics-mistakes-arent-what-they-used-to-be A very interesting article which I think furnishes a point I've been making for a while about mathematics: proofs are as eternal and infallible as the creatures which create them. EDIT: But with a bit of...

Student's Guide to the Mathematics of Astronomy, by Fleisch and Kregnow. For beginners, uses algebra, geometry, and trig applied to astronomy and cosmology. Helpful for students who get bogged down in mathematical manipulations and coming up with equations in the first place.

Dear Physics Forum friends, I am a college sophomore in US with double majors in mathematics and microbiology. My algorithmic biology research got me passionate about the number theory and analysis, and I have been pursuing a mathematics major starting on this Spring semester. I have been...

I am planning to study the following pure mathematics areas (on my own) and wanted to know if this is the best sequence: 1- Formal Logic 2 -Philosophical Logic 3- Sentential Logic 4- Predicate Logic 5- Symbolic Logic 6 -Set Theory 7 -Pure Mathematics (Intro, Pure Math I and II and Hardy) -...

Hello Physics Forums. So I haven't been on here for a very long time, so hello again. I am currently a first year at a university in Canada and am to declare my specialization in the coming months. I came into university expecting I'd want to do a degree in physics and astronomy, but over the...

As a quick continuation of the question...what mathematics courses would you (preferably PhD or pursuing a PhD currently) recommend for an undergraduate? I'm interested in high energy/particle physics (I'm working in a lab this summer so we'll see how that goes) and cosmology (no actual...

I'm starting college soon. 2015 Summer Calculus I and Analytic Geometry Pre-calculus and Analytic Geometry Fall Calculus II and Analytic Geometry Calculus I for Life Sciences Linear Algebra United States History I United States History II 2016 Spring Calculus III and Analytic Geometry...

Hello everyone have a look at this video of Fourier Decomposition of an image.also we know that Fourier series is given in the image as...

Hello, my name is Diana and I'm studying Electrical and Electronics Engineering. I really love and enjoy Physics so much, and I was planning to study Physics after graduating from Electrical and Electronics Engineering. This is my first semester by the way. The reason I didn't apply for Physics...

I am at starting to become increasingly worried and I need help/advice/what ever you can give me. My major is mathematics, I will be getting a BS in it next year. I have an interest in Analysis and Probability and will be taking a years sequence in Integration and Measure that year. My...

Hi guys, So, I'm a high school senior about to graduate, and because of reasons, I most likely will not be attending a college next year. However, I will apply to colleges next year for a Physics major. In the meantime, I would like to use my time wisely, and I was thinking that the smart thing...

Okay so the name may be bigging it up however i found something in my maths class today that i don't think has previously been published or at least I've never been taught it, it makes converting reacuring decemals a lot quicker I know about the over 9 rule however acording to my maths teacher...

Hi there! As you might have already guessed, I'm referring primarily to the 'geometrical' difference (is there such geometry in Hilbert space?) between ##n##-dimensional state vectors | \psi \rangle = \left( \begin{matrix} \psi_1 \\ \psi_2 \\ \vdots \\ \psi_n \end{matrix} \right) and their...

Hello! I'm in my final high school year (Bachillerato, as we call it in Spain) and I have to choose between getting a degree in physics or mathematics. Frankly, my uni's approach to physics is far more experimental than theoretical. I do not like that (lol). I love mathematics, and just reading...

I am an economics major with a minor in mathematics. I have three semesters left in college, but if I took an additional semester I could complete a double major in econ and math. If completed, I would be interested in pursuing a master's in applied mathematics. My hope is that this will be...

I'm not going to ask what mathematics are relevant to physics, I know the answer is all mathematics. I was hoping you guys could help me figure out which specific mathematics topics would be best to take concurrently or prior to certain physics topics, so that the order of my classes is most...

Homework Statement Let A = {1, 2, 3, 4} and let F be the set of all functions from A to A. Let R be the relation on F defined by: For all functions f, g that are elements of F, (f, g) are only elements of R if and only if f(i) = g(i) for some i that is an element of A. Let the functions α, β...