Mathematics Definition and 995 Threads

Whats the difference between (4/3) and -(4/3) Why ratio in external division is negative? I have answer for how it is negative but not why? X = (mx2+nx1)/(m+n) ⇒ (mx2+nx1) = X(m+n) ⇒m(x2-X) = n(X-x1) ⇒(m/n) = (X-x1)/(x2-X) From the above equation we can conclude that when division is...

I have a question about mathematics at the research level. How difficult is it to formulate new open problems in mathematics? For example, can a master's student create such problems? And a doctoral student? Or are only experienced mathematicians able to do this? Does this depend on the research...

I have one year left until I get my mathematics degree (applied). I am probably going to go to graduate school, but if I didn't what courses would you recommend I take? Maybe in general but more specifically for a job in a STEM field. I'm currently thinking of complex variables and vector...

Hey guys, Can the use of mathematics even describe or determines the real world? I mean, mathematical physicists always used and rely on math equations to abstract math "entities" like quantum field, virtual particles, quarks, gluons, etc. Can a physicist used math to determine the existence...

I have some data which I am encrypting using modulus - (data + 203) mod 200. If the data is 150, I get the result as 153. Is there a way to decrypt and get my data (150) back? I don't know how to calculate inverse of this operation...

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...

I've trying to organize my path of study in mathematics, but in every resources online are different. Can anyone request a great order of learning them or a real curriculum of schools. Thanks.

Hello. I have noticed that a fair amount of stuff on this forum uses various softwares, for which I am unacquainted with. Figured I might as well dabble, see of I can learn to use them. All on Google basically say 'I'm the best!' and I trust this forums judgement more than that of others on...

Dear all, I currently a student in mechanical engineering and i reached the conclusion that maths from the point of view of mathematicians is lot more interesting than the eyes of engineers (for me at least). One of my friends in the maths department suggested to me to read real...

I've always been very strong in mathematics which led to me becoming an engineering major. As a freshman in this major, I'm doing exceedingly well in my math courses, but terrible in my science courses. I also just hate physics. Nothing about physics or statics or dynamics is capturing my...

I am a 24 Year Old Chartered Accountant (Indian). I used a peculiar direct entry scheme for the qualification, which essentially means I do not have an undergraduate degree. The last time I learned any sort of intensive math was in 12th Grade (Commerce + Math). However, I am interested in...

Hi, i would like to get someone's opinion on an iOS app I've been looking into. I already own Wolfram Alpha and am curious as I'm taking Calculus II should i get the Calculus Course assistant from Wolfram and what is the difference between it and the regular Alpha?

Hi, I need book with examples(and the solutions) that will help me to practice the things I learn from Serge Lang-Basic Mathematics. I don't know how exactly these are called in English. Workbooks? It's not necessary to be book only with problems, it can be something like this one but with more...

I know this can be a silly question but it's a curiosity of mine and I have no idea what the answer is, so I'll ask anyway. The question is: How many open problems and conjectures are there in Mathematics currently ? I'm sure nobody knows the exact number but an approximation would be nice...

I would like to read a book, the chapter of a book or a website article (preferably comprehensive) on the history of the concept of a module and the development of the theory of modules in mathematics ... Can anyone help with some good references ... Peter

Dominic Walliman's video summarizes the various fields of maathematics in a wonderfully short video: http://sploid.gizmodo.com/take-a-quick-tour-of-the-mind-boggling-universe-of-math-1792041367

I have been learning how to read scientific Russian, and my reading material is the Soviet high school math textbook Algebra and Beginning Analysis, (1976), edited by Kolmogorov. (I've seen the title also translated as Algebra and Elements of Analysis). The Russian title is Алгебра и Начала...

I often read about how famous theoretical physicists have made ground-breaking contributions to physics, but I always end up wondering how they are able to "discover" something that they have never seen or experienced. I believe that it has to do with the application of mathematical theories to...

Hi guys, I'm whether or not the difficulty in undergraduate business /economics mathematics matches up to that of physics, or even vice versa. This is mainly because I'm trying to make decision on whether or not to take up business/economics as an elective course alongside my Physics major...

Hi, I'm a student in the UK and am going on to study Physics at university next year. I enjoy self-study and was wondering which approach would be best, whether to read the physics content first or learn mathematical techniques first ( real and complex analysis etc.) Moreover, I wasn't sure...

Homework Statement [/B] It's a system of 2 equations. Homework EquationsThe Attempt at a Solution My attempt is not worth writing here. Results I got using Microsoft Mathematics without showing me step by step.

I am currently taking a course in discrete mathematics. The literature used is "Discrete Mathematics And Its Applications by Kenneth H. Rosen" 6th ed., or 7th ed. I have encountered most of the topics from that book. I.e. Logic, naive set theory, &c. What I have encountered also is the...

Homework Statement Hi there, the issue I'm having right now is finding the right way to calculate uncertainties when trigonometric terms come in play. The question goes like this, we're given 2 sets of 5 angles in degrees, the incident angle (10.0, 20.0, 30.0, 40.0, 50.0) and the other is the...

Homework Statement $$\lim_{x\to\infty} \left(\frac{n^2+2n+1}{n^2+2n+3}\right)^{\frac{2n^2}{n+1}}$$ Homework Equations 3. The Attempt at a Solution [/B] I tried ##\lim_{x\to\infty} \left(\frac{n^2+2n+3-2}{n^2+2n+3}\right)^{\frac{2n^2}{n+1}}=## ##\lim_{x\to\infty}...

Hi, Can someone explain what the appeal is of a joint subject degree such as BSc Mathematics and Physics? Logic dictates that you will not get proficient at either, so what are the benefits of such a programme? You would be stuck in the middle knowing a little bit of both but not enough of...

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...

Why doesn't any odd multiple of 3 can give "24-1(x2-1)=y" as a result (y) a natural number? Obviously no even number will make "y" a natural number, but all of the odd numbers do, but odd multiples of 3 (3, 9, 15, 21, 27...). x=1⇒y=0 x=3⇒y=1/3 x=5⇒y=1 x=7⇒y=2 x=9⇒y=10/3 x=11⇒y=5 x=13⇒y=7...

I’m looking for books of a general interest in maths, like a maths novel, a fun book about maths, a humorous introduction to higher concepts, something outside of tests, something they can read on their free time and appreciate the beauty of mathematics. Let me add more details. I’m working as...

Hi! New to this forum and signed up because I've just started a foundation degree in mechanical engineering, and having been out of education for a very long time beforehand, getting back to grips with mathematics and the like! Anyway, I would like to ask for some advice on this problem, I know...

A few years ago, I graduated from Wheaton College with a B.S. in Mathematics; my objective is to be a mathematician in engineering that helps mechanical engineers with their mathematical/statistical modeling. Since I graduated, I have been looking for internships in Chicago: Unfortunately, I...

This is my first post on the forums, Hello! my names Tim, nice to be on here! I will keep this as short as possible. In high school, I hated math and loved science. Its a story I hear often. I was bad at math, or maybe it just wasnt introduced to me correctly. It took a lot of soul searching...

Currently I'm undergrad in Mathematics and confused about getting a Phd. I'm not interested in academia. I'm more interested in startups or jobs in the industry. The only thing that is making me to do PhD is solving research problems. Say I'm reading a machine learning book or QFT book or a...

Hi all, I am currently in my first semester of my sophomore year, taking Real Analysis I. This class covers formal proofs, properties of the real line, sequences, series, limits, continuity and differentiation, and Riemann Integration. I apparently got stuck with the worst professor at my...

Is it true that some problems from Putnam and IMC have connections to Mathematics at the research level and it's necessary to use techniques at that level to solve them ? If so, could someone give me examples of Real Analysis problems of this type ?

Homework Statement 1. Why is the statement: " Vicky is not clever" Not a mathematical proposition? Provide examples please 2. Why is the statement: "a^2+b^2=c^2 an indeterminate proposition?" 3. Why is the negation of " If a triangle has two equal angles it is isosceles" = "Not all triangles...

I'm planning to get double honours in CS and Pure Math. But I'm very confused about getting a PhD? Will it help me as a startup founder? (Link to my post on academia stackexchange, but I'm still confused) The only thing that is stopping me from getting a PhD is time. I have excellent...

Hello. I am currently studying at a specialized mechanical engineering high school. I'm in my first (or 10th) year, as I've stated before. I've done algebra I and algebra II, along with about one half of trigonometry (utilizing the trigonometric functions in practical problems, like splitting...

I want to study physics, but I am really not that good in mathematics. I need some sort of a hierarchy or a study plan with good textbooks included. I want to start from the very basics, a study plan that covers everything from vectors, algebra, geometry, to calculus. If anyone could suggest a...

Hi everyone. I was wondering, just out of curiosity, what are some examples of physicists using mathematics to make physical predictions that are later verified by experiment? I'm not a student of physics, but I've heard of how Maxwell used mathematics to calculate the velocity of a postulated...

I have a simple question. Is a mathematics professor able to formulate more difficult problems than the problems that are in the books ? If so, how difficult is it to create such problems ? Is this a difficult task ? Or is this something easy that comes naturally for a professor ? Could someone...

hello, a bit of topic. we're having an exhibition at my university to display outstanding papers. my paper was about my passion for mathematics. I am seeking some ideas to make visitors want to read my paper. I don't want something too childish. I was thinking of making a string model of some...

Metaphysics is a strong interest of mine, as is Philosophy in general. I also enjoy Math, and more importantly, I recognize some mathematical concepts are needed for Metaphysics. A simple example is the concept of infinity (what it is). I'm asking, are there any courses, or even books on...

I feel like my approach to mathematics is strange, sometimes I just think about memorizing something when I see something new. I feel like memorizing something is the fastest way to learn because once you memorize it the logic seems to reveal itself. I'm trying to learn trigonometric...

What is the difference between the concept of scale in the SM QFTs and the scale concept in geometry? In other words, QFT is a scale-dependent theory that is living on a scale-invariant space(either R4 or M4, related by Wick rotations). Mathematically scale-invariance and scale-dependence appear...

Can we use mathematics in real world to solve administrative problems? Are there any examples from history where administrators have used math to solve society's problems?

Is Discrete Mathematics hard? Is it pure or applied math?

Theorem: Let ##A_1, A_2, ..., A_k## be finite, disjunct sets. Then ##|A_1 \cup A_2 \cup \dots \cup A_k| = |A_1| + |A_2| + \dots + |A_k|## I will give the proof my book provides, I don't understand several parts of it. Proof: We have bijections ##f_i: [n_i] \rightarrow A_i## for ##i \in [k]##...

have a nice day. I was torn between mathematics and physics. I do not know which one I wanted. How can I decide? for me; theoretical physics, applied mathematics - topology (dif.topology, alg.topology, geom.topology), differential geometry easy than pure, proof based mathemics. I'm better...

Hi, I'm still a student at school, and I'm currently doing the IB programme. The IB programme is not very challenging...and I've gone out of my way to study the A-levels as well. For those familiar with the A-levels, I've completed the Maths and Further Maths Modules, up to FP3, M3, S2 and...

Ok I can't tell if this should go in academic guidance or homework questions so I'll just put it here. I decided to do my high school senior project writing a paper on a recent discovery in physics. I narrowed my topic choices down to either photonic particles, exotic hadrons, or the Higgs. I...