Mathematics Definition and 995 Threads

Homework Statement hi, all… can anyone help me with this question? i got stucked here? can you figure out which part contains mistake or post the full solution here? thanks in advance! http://i.imgur.com/RZpquyd.jpg?1 http://imgur.com/RZpquyd&Eoaa0mm#0 Homework Equations The...

Homework Statement City "A" wants to measure benefits of a stadium it built. Currently admission is free and 10 000 people per month visit the stadium. In a comparable city, a similar stadium charges $5 for admission and receives 2000 visitors per month. Assume a linear demand curve...

Hi, I am reading Tasi lectures on cosmology and in a lot of places states that certain magnitudes (example, comoving curvature R) work in someway (example "does not evolve") outside the horizon k<aH, where k is some Fourier frequency of the magnitude we may be talking about. I understand the...

What mathematical algebra explains sequence of circular shifts on rows and columns of a matrix? Consider a simple matrix (3X3) with entries thus: [1 2 3; 4 5 6; 7 8 9;] Circular shifts can be performed on any row or any column thus: row-(1/2/3)-(right/left) and column-(1/2/3)-(up/dn)...

Hello all, I feel as though I never learned mathematics the right way which severely impacted me from pursuing other science/math careers involving higher mathematics. I feel as though I need to approach mathematics from a proof based manner in order to properly learn. The way that mathematics...

Hey guys, I'm kinda new here, and I have a bit of a perplexing personal question. I'm a first year engineering student right now, nothing too crazy, just the jr. college level. But the more projects we do, and the more the class progresses, the more I find myself leaning more toward theory and...

Hello physics forum, I am a physics major who is currently working on getting my bachelor's degree , and also considering on majoring in mathematics. I find physics and mathematics very interesting and exciting . I want to asks , how can I improve as physics and mathematical student ?

Hi, After looking at future requirements for my program (Medical Physics), I realized it doesn't have as many specific math requirements as pure Physics module, but still has all the Physics requirements. I was just wondering, beyond first year Linear Algebra and second year Calculus, what...

Hello everyone. :) There is currently a proposal for a mathematics education-oriented SE at area 51 in the following link: Mathematics Learning, Studying, and Education - Area 51 - Stack Exchange It is very close to going into beta and we need a few more commitments. I decided to advertise...

"Precalculus Mathematics in a Nutshell" + "Spivak's Calculus"? Hey, I'm currently a senior in HS attending Elementary Calculus with a decent grade (B+). I recently had an epiphany that I haven't actually learned anything, I've just temporarily memorized how to derive the answer from the set of...

Need "Kronecker's Theorm" for mathematics Dear Friends, I am looking for the syllabus topic for my Mathematics titled "Kronecker's Theorm" . If anyone have a good stuff please send the resource. This topic is come under Mathematics in network and Security Thanks, Anes

I graduated in December 2013 with a BS in Mathematics (minor in Applied Statistics). I have taken this semester off to job search and think over things before pursuing a Master's degree. Originally, I was planning on going for a Master's in Mathematics and try to get a job as an instructor at...

I am a math major and I need to take Methods of Discrete Mathematics. What is methods of discrete mathematics? Should I take it after My calculus series( including linear/ diff. equations)? Is it easy enough to take with Calculus 2? Thanks

Hello guys! I really need some help here. I will get my BA in mathematics in two months. I want to get a master degree in math online. However, I'm not sure what should I get. Here are three programs I saw. Master in applied mathematics, MA in math, and Ms in math. I'm not quite sure what...

As a mathematician, what may you say are the beauties that you see in the Mandelbrot set??

Okay, so I'm new here, but I have a few questions about research that mathematicians do. Firstly, what is it like to do mathematical research, and secondly how would I go about doing that? Currently, I'm just an undergrad in mathematics and my highest level of knowledge is just complex analysis...

I am currently an undergraduate student at a department of applied mathematics. Its a 4 years (240 ects) program in which I can take lots of physics classes directly from the department of physics of my university as well. The thing is that I start to believe that I like more to do physics...

Hi, When I am studying mathematics, I missed a problem. I am considering what mathematics sense is. Can you answer this question? To be called that you have mathematics sense, what can I do? Is some sense of mathematics required to learn mathematics deeply and understand it? And what is...

In most programming languages, mentioning an object inside it's definition can cause a lot of trouble at compile time because what's being mentioned doesn't technically exist yet. But in mathematics is "forward referencing" allowed? Can I, for instance, define a set and use the set being...

I teach myself mathematics, but I want also to broaden my knowledge with some physics, which I think will enhance my intuition for different things in mathematics. The problem is that it seems I know nothing about physics. So I want you to recommend me which book(or books) must I read to develop...

Hi all, I got a BSc in Mathematical Science (not very good result: 3.00/4.00) but I'm interested to further my study in Logic and Foundation of Mathematics. Can I take MSc in Logic and Foundation of Mathematics with such result? If can, which university you guys would recommend?

So I have been interested in physics for a while now, but I have never really cared much for math until now. The teacher I have is terrible and I personally have to look up online what to do because she is terrible at explaining the subject. I know basic algebra with holes in what i know, but as...

I have finished my undergrad in physics and am thinking about going into a postgrad in mathematics. Since I did not major in mathematics how hard is this going to be?Is it going to be very different?I have done a lot of reading on my own and I think I may be able to cope and catch up anything I...

Hello, I am seeking the opinion of mathematicians. I want a solid understanding of pure mathematics. I would like your opinions on where to start. My background in formal mathematics courses ended with the standard calculus series. I pursued no further classes while attending college...

When reading about Gödel's incompleteness theorem(s) a few years back, I vaguely remember reading the statement that one of their implications was that mathematics can not really be seen as "merely" logic. I think the reasoning was something like: since we have sentences "this cannot be proven...

Before I begin, I apologize for any bad English, it isn't my first language. I'm a medical student who didn't do any mathematics for 3 years. However, after finding out the "plug 'n chug" approach isn't really what mathematics is about, I became interested in learning it from the basics all...

The history of mathematics...help with resources Hey guys I need help finding good resources to help me understand basic to advance math from a developmental point of view, the applied necessities of the inventors of math operations and concepts. For example the addition operation was...

The title is essentially dual to the one in blogposts of Nielson and Gowers, from which Polymath wiki developed. The subject is the same here, although different in the sense that whether or not that is possible in forums. A member of this forum have tried to start a polymath project here on...

i'm a mechanical engineer student, 1st year. currently follwing erwin kreyzig, I am intersted in solving complex type of problems but couldn't find much in erwn kreyzig. it has only beginninng level easy questions. is there a book that you can suggest which has tough and complex...

Hi everyone, just something for us to discuss. I have always been taught to use a full stop for a decimal point, and a centred dot to represent multiplication. This appears consistent with the output of CAS calculators and software. However, it appears that it people in older generations (I'm...

Hello, I'm new to this forum so please bear with me! I am a Math and Mechanical Engineering Double major who is considering getting my PhD in Math. I want to become a Math professor after I receive my PhD, and I have always had a love of airplanes, so I was wondering if there are any topics I...

First off a little about myself as I'm rather new to the forums. I'm currently pursing a degree in management of engineering sciences at Embry-Riddle Aeronautical Univiersity. I really enjoy mathematics, not just soliving equations but reading about the history of it and the great thinkers of...

Good evening guys, I now announce that I am entering the second *hard* half of mathematics, in college! Courses I have finished: Calculus I Calculus II Calculus III Differential Equations Linear Algebra Foundations of Mathematics Operations Research I am registered for two math...

First of all i must admit that i am not sure if it fits into academic guidance or career guidance category. I am senior student of physics in my country's one the best universities. This was the bright side. I am 26-27 years old, i am about to graduate in 1.5 years. I was always considered as...

I was looking for a self-study book that is accessible by an high-school student (11th grade) for general relativity. I read reviews on "A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity" but unfortunately, it isn't available here, in India...

Hello, I'm in need of some advice.. I'm currently majoring in physics, but I've been thinking about changing my major. I'm in physics 1, and struggling because I have a bad professor who can't seem to teach the class.. I originally wanted to go to grad school to continue my studies as an...

Hello, I am from Ontario, Canada. I will be graduating from high school soon, and right now, I have to take care of my university application. First of all, I am interested in pure mathematics because I really like rigor, proofs etc. Thus, my choices so far are the mathematics programs from...

So, recently i found out that Ramajuan's math is highly applicable and usable in modern physics(things like string theory and stuff) so i decided to start learning more about his work and i stumbled on some questions. 1.What kind of math background do i need before diving into Ramajuan's work...

I've taken differential,integral,multivariate calculus, DEQs, Introductory Linear Algebra, and am currently taking complex analysis and vector calculus (an extension of vector calc from multivariate). As a math student, how do you decide what to study after that? Is it time to specialize? I...

I'm from the UK and began my bachelors in mathematics around a month ago, with the hopes of going on to further study afterwards. My university is one of the best for mathematics and so far I've aced all my previous exams so this is quite a big shock to me. I'm struggling with near enough...

I have encountered this problem in its general form: finding a^k mod n, where k is a rather large number. I have been researching on the internet for several hours but I still don't understand it well. Can anyone provide a detailed explanation as to how to solve this kind of problems?

I'm trying to understand the math behind Hooke's law and work done by a spring. I'm really looking for clarity. I am trying to understand why after integrating the equation I get three different results. I understand that each formula is specific to a problem but why does this work...

I realize it's a very broad statement to say that I'm independently learning mathematics because I am definitely not learning all of mathematics. I am currently studying the calculus and of right now via M. Spivak and have also been consulting R. Courant's Differential and Integral Calculus, vol...

How would one go about attaining a dual doctorate in math and physics? Would I be able to do both at the same time? Do people usually go for the doctorate after bachelors? What colleges allow such a program? thanks.

Homework Statement Twice the supplement of angle 0 is 104 degrees greater than four times the complement of angle 0. Find 0. Homework Equations The Attempt at a Solution I'm not sure where to begin. I'm good with angle relationships, all I need is the equation.

Hi all, I'm a student in Mathematical Science in which I'm specialising in Mathematics and a little Computer Programming. I love Maths and definitely have a flair for it. I'm also extremely ambitious and am massively motivated by money, I love it. :P Ideally I'd be earning over 250k or even more...

Homework Statement Has anyone here read The Mathematics of Juggling by Burkard Polster? I am having a hard time understanding how the inverse of a juggling sequence is calculated on page 27. For example, the table on the page has 7 rows, and in the fourth row, I'm not sure if that symbol...

Hey guys , what is the best book to read about category theory ?

Hi, the title is self-explanatory. I am wondering if there is something I can do to be able to read mathematics like I am reading a newspaper or book. Regardless of what the single letters are describing in natural language, I can understand -but maybe not conceptually grasp- what is being...

To give you a sense of strong induction and the relationship between mathematical induction and recursion (next session), let's do the pile splitting problem: Take a bunch of beads, rocks, coins, or any kind of chips. Ten is a good number. Split the pile into 2 smaller piles and multiply their...