Mathematics Definition and 995 Threads

hello everyone I have always been curious about science and math but have been terrible at both as a result of my failure to study and pay attention, I failed math twice in high school from skipping, not studying and ignoring my teacher, I also failed physics twice for the same reason...

micromass submitted a new PF Insights post How to Self-Study Basic High School Mathematics Continue reading the Original PF Insights Post.

Dear Physics Forum advisers, I am an undergraduate student in US and an inspiring applied mathematician in the fields of theoretical computer science. I recently have been reading a book called "Joy of Learning" by Hironaka Heisuke, a mathematician and Fields Medalist (1970); the book seems to...

micromass submitted a new PF Insights post How to Study Mathematics Continue reading the Original PF Insights Post.

Homework Statement cos(x - 3p/2) = - 4/5 p <x< p/2 sin(x/2)*cos(5p/4)= ? Homework Equations The Attempt at a Solution I made it as far as to determine that sinx= 4/5 and cosx = - 3/5 but can't seems to progress any further. I am looking for an easier way to find the solution without having to...

Homework Statement For clarification a have posted the equation below as a picture file.[/B] Homework Equations log(a*b)= loga + logb log(a/b) = loga-logb log(a^n) = nloga[/B] The Attempt at a Solution I don't know how to start. I can't remember the rule for powering the logarithms if there...

Homework Statement if x1 and x2 are solutions to 1) x² + x + 1 = 0, then 2) y1 = ax1 + x2 and 3) y2 = x1 + ax2 are solutions to which quadratic equation? Homework Equations ax² + bx + c = 0 x1∕2 = (−b ± √(b² - 4ac))/2a The Attempt at a Solution Well, firstly i solved for x1 and x2 getting...

Hello, before I start off, I apologize for asking a question which I am sure has been asked hundreds of times before: but I felt there is just way too much information out there which is a little confusing, so I am here with the hope of getting some personalized suggestions. I am currently a...

I figure out a way to evaluate an integral with an antiderivative with elementary functions which had previously only been defined by an anitderivative that was not an elementary function. Everything checks outs. I used 3 regular substitutions and a trigonometric substitution and I just have to...

beneath all problems with gravitons to describe mathematically (simple said our idea of a graviton is a gluon with spin 2 which is only predicted through CFT in 5 dimensional AdS) we have another problem mathematically to describe. We found 3 generations of neutrinos with mass through...

Hello, At my exam I had to proof the title of this topic. I now know that it can easily be done by making a bijection between the two, but I still want to know why I didn't receive any points for my answer, or better stated, if there is still a way to proof the statement from my work. My work...

I feel as if my understanding of physics require increasingly rigorous mathematical derivations the more advanced the notions get... since I started even high school physics, I lost track of the number of instances where the bulb lighted up in my understanding of physics due to a rigorous...

Hello, I'm currently in a physics/CS undergrad program and I would like to continue to graduate level in artificial intelligence. But recently I started to browse artificial intelligence papers and discovered that they are very mathematical. I ask myself if I should switch to maths/CS undergrad...

Hi all, Due to a scheduling conflict at my university I can't take Discrete Math, and it's a pre-requisite for all of the math courses I want to take next year. Any recommendations on which textbooks I ought to use to independently study the subject? Thanks!

Would it not be more efficient to write modular functions using the text formatting of logarithms? The modulus would be in subscript after "mod", and the expression to be used would be written after... Ex. modnf(x)

I'm in the 11th grade and have little education of college level mathematics. I individually find myself studying one section of it but hardly have a grasp. I really want to read the Feynman Lectures to further my education of physics, but as I read over the pdf it looks like there is a lot of...

The question at hand: Let A be a 10-adic number, not a zero divisor. Proof that a 10-adic number B is dividible by A if 2^q*5^p*B has ends with p+q zeroes. My work so far: Because A is not a zero divisor, it is not dividible by all powers of 2 nor 5, so it follows from a theorem that A =...

The distance covered by a car at time t=0 is 0 / at time t= 1 is 10 km/ at time t= 5 is 50 km, With this example can you explain, what is function of what? f(d) or f(t),

I just need some direction. I just can't seem to solve anything in math or physics right now. I want to become good at both but I just am struggling mightily. First year in college in mechanics and calculus. Every one says to just work harder. This is very frustrating because I put in over 10...

Mirage: we consider the x-y plane describing vertical y and horizontal x directions, with an inhomogeneous index of refraction n(y). In this case, using calculus of variations, Fermat’s principle for the trajectory of a ray of light may be re-written as n(y)/√1+(dy/dx)^2 = A. Where A is a real...

Mathematics is the language of Nature. The more advanced topics we study , the more involving is the maths. To understand physics, I think i need to develop a strong mathematical intuition and learn to appreciate the beauty of maths. Can anyone suggest a good flowchart of topics so that my...

Good evening, I really want to study mathematics, to learn to do (at least some level) of mathematic research. I am at a point in my life where I will not be able to pursue these studies in a university because of my commitment to the court calendar. I could devote 4-5 hours a day to study, but...

I'm applying for joint honor course in Mathematics and Physics and single honor course in Theoretical Physics at universities in the UK. I am struggling with putting into words what I enjoy about physics and mathematics in my personal statement. I have the other paragraphs in place (I think)...

I can either graduate in 2 years to teach just biology or stay 3 years and be certified to teach biology and mathematics. I just want to graduate but my parents think staying the extra year will make me more marketable. Thoughts?

Hello all! Today I was in my vector calculus course (as a student) and we were learning about/calculating the unit tangent vector (T(t)) and principal unit normal vector(N(t)). We calculated T(1) and then moved onto N(1), ((1) our arbitrary point to see how it plays out). Nevertheless...

Can anyone recommend a good book that deals with the mathematics of E&M? I've read through my calculus books and feel like I understand the material there and can solve the problems. However, when it comes to it's applications in electricity and magnetism I find that I have enormous difficulty...

I've seen a lot of complaining on the internet by parents about the new way addition and multiplication is taught in American schools. I looked at it, and have to admit, at first, I thought it was insanely overcomplicated and worse than the way I was taught where you did one digit at a time and...

I don't understand how I am doing so badly right now. I am at University studying Calculus one and I just got my first exam back and I did not do well. I went over the practice exams with a tutor and studied the day before the exam extensively. Maybe I should have started earlier. Could someone...

Dear fellows, I was wondering about what lies inbetween the fields of geology, chemistry and mathematics. I mean, is there a branch of study that uses the three areas? Thanks in advance. JGSeg.

Multiple_Authors submitted a new PF Insights post Proofs in Mathematics Continue reading the Original PF Insights Post.

i want to study applied mathematics on my own, but i don't know where to start

I'm a new first year graduate student and I've decided that my way of learning mathematics may not be the most efficient. I often memorize proofs in the book in the hopes that I'll be able to see where to apply the techniques used in the problems(I often understand the logic of a proof but won't...

Hi all! Been a while since I was on PF and I greatly regret it. Forgot how great the community was. Anyways on to my point. I'm going into my second ywar of post secondary and planning to major in physics, and have the eventual goal of understanding both General relativity, and Quantum...

what is the best mathematics book for physicists ?or in what way should i study math if i need it for physics? . thanks!

Hello. I am writing this post, hoping, you can help me make a decision. This September i will aplly to University. I have two fields of interesting: Pure Mathematics and Computer Science. Which to choose? I was really bad at math a year ago, not knowing how to solve a linear equation. Now i...

Hi, I'm currently in high school but I know several university maths and physics (just a little) I want to know about Maths: Lagrangian and Hamiltonian Fourier Transform (I self-studied Fourier series) Differential Equations (only know one way to solve them, I think its the most basic one)...

I was some youtube videos and i got sucked into this channel called "numberphile". They were talking about infinite sets. In particular the set that is the sum of all natural numbers. Through some creative algebra they demonstrate the proof. Somehow the set that is equal to the sum of all...

This is a bit of an odd problem - more philosophical, perhaps. I've been reading The Art of Mathematics, by Jerry P. King, and the author points out that mathematicians do mathematics for aesthetic reasons - for beauty. They see beauty in the mathematics that they do. My question is this: what...

I have a question about learning the mathematics of Quantum Physics... So, I've been really interested in Astronomy and Quantum Physics since I was a kid. Owing to some accidental education and career choices, I however, ended up becoming a Business Consultant. Although I have spend most of my...

I got a B.S. in liberal arts and sciences from UIUC, with a concentration in general mathematics. My GPA, for a variety of reasons, is mediocre (2.5, roughly equal for math and non-math classes), but I nonetheless have an eye for graduate school. So I decided to look at the syllabus for the...

Creator of Science is Nature

What are some rigorous theoretical books on mathematics for each branch of it? I have devised a fantastic list of my own and would like to hear your sentiments too. Elementary Algebra: Gelfand's Algebra Gelfand's Functions & Graphs Burnside's Theory of Equations Euler's Analysis of the...

Dear Physics Forum friends, I am a rising college junior in US with a major in mathematics. I recently noticed a problem in my note-taking skill in the mathematics, both from the textbooks and lectures. When I was a microbiology major, I wrote extensive amount of notes from my books and...

My question is:What is the mathematics necessary for, and which book(or books) i should read to understand graduate-texts like Jackson, Sakurai, Goldstein?? I'm already reading the Boas' book, I'm asking because some people says that for Jackson you need to understand very much of Green...

Here is a quote from a person from another forum (he's not replying to me. I am just a lurker) But since I don't know much about mathematics. I wonder if he's right. Is mathematics an ideology just like Democracy, Communism, etc...? Here is a quote from a person from another forum (he's not...

i wish to become a theoretical physicist but i am not that good in physics and mathematics,how should i improve in mathematics and physics

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...