Questions asking for advice on various mathematical matters. Be careful that your question is answerable, and also that it is not a polling question (e.g. "What is the best / your favorite way to...").

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0
votes
1answer
33 views

Question about Bachelor thesis and future lectures.

I just finished my exams one day ago but lectures will already reassume in less than two weeks. I currently finished my 5th semester and will therefore tackle my last semester of my bachelors. But I'm ...
0
votes
1answer
45 views

Math for a computer engineering graduate course [on hold]

I'm going to take a master's course in Computer Engineering. Now I've not taken a CS course in my undergrad, hence my knowledge in some of the core areas of CS like algorithms are limited. I'm quite ...
6
votes
3answers
163 views

How to Catch Up?

I am finishing up my bachelor's degree in mathematics at the University of North Florida, and I plan on going to graduate school, but I feel very behind. One of my professor's gave us this problem: ...
1
vote
1answer
85 views

Any advice to help visualizing/understanding theorems in Real Analysis?

I am currently taking a real analysis course and sometimes I can't really get the complete meaning/details of certain theorems. For example, one of the statements in the Heine-Borel Theorem saying ...
0
votes
0answers
49 views

Comparing the methods of applied mathematics to computer graphics

As an applied mathematician working towards my PhD, I have some personal interest in aspects of computer graphics and procedural animation. Looking up people and reading papers in the field of ...
2
votes
2answers
51 views

How to write this non-linear Epsilon-Delta proof w/ a radical?

The question: Prove that $\lim \limits_{x \to 9} 2+\sqrt{x} = 5$. After reading this link from Milefoot on how to construct a non-linear delta-epsilon proof (second example), this is what I came up ...
5
votes
2answers
319 views

Numerical analysis, differential equations, complex analysis for statistics

I am a student of the Statistics Department. And now I can choose a subject from such list: numerical mathematics (analysis), differential equations, complex analysis, real analysis. Can you please ...
5
votes
1answer
70 views

Important topics to know in Algebra [closed]

I'm trying to prepare for graduate algebra but after looking at Dummit and Foote I realized that there's a lot of material (1000 pages). Which topics do you think a student should study in D&F to ...
18
votes
3answers
1k views

Understand it or burn [closed]

I have a big problem when I study math,namely when I am stuck on some problem I can't go on and I won't keep studying other material till I haven't solved the problem I've been stuck on. I am ...
2
votes
0answers
50 views

What makes a good mathematical poster? [closed]

During my second year of university I have done some assignments and some papers, but this is my first time I have to make a mathematical poster. What could make my poster stand up. So up to now I ...
1
vote
1answer
65 views

How to find old papers on a particular topic?

When learning mathematics, I think it is better to learn the motivation and the purpose of a particular maths idea. I believe such things are best found in the original paper which proposes the ...
0
votes
1answer
61 views

Schools for Game Theory/Algebraic Geometry [closed]

I am looking into both Game Theory and Algebraic Geometry for graduate study and potentially doing a thesis in. I wanted to know if there are areas of mathematics that rely on both algebraic geometry ...
0
votes
1answer
40 views

Is model theory needed to understand ordinal logic?

By ordinal logic, I mean turing's ordinal logic. I'm going to learn first order logic, elementary set theory, basic computability, and godelian incompleteness as prerequisites for ordinal logic. But, ...
2
votes
1answer
99 views

Can you recommend a mathematical logic textbook that is easy to understand?

I started studying "Introduction to Mathematical Logic, Sixth Edition" by Elliot Mendelson. I tried to not read solutions as long as possible, but most exercises were awfully difficult to me, and the ...
4
votes
0answers
122 views

I have a free summer before university. What should I learn? [closed]

Note: This is a soft question. It may be a bit early to be thinking about this, but I figured I'd ask now and see what responses I get. I'm currently a high school senior, and I quite like pure ...
1
vote
1answer
42 views

How to find out leading research articles in a specific area?

If one needs to find out the leading research articles and most cited or influential research articles in a specific area of mathematics, let's say, fractals, chaos and non-linear dynamics what that ...
11
votes
2answers
1k views

How can I motivate myself to study math every morning? [closed]

I am jobless, so I have relatively plenty of time though life is short. I started studying math and some other things every day because I want to become an artificial intelligence researcher. When ...
0
votes
1answer
100 views

need advice to become a mathematician [closed]

I am currently working on my associates with a designation in math, and my overall goal is to get a PhD and become a mathematician. I would like some advice on how to get there and the likelihood of ...
1
vote
0answers
34 views

Number of Magic squares and their applications

A magic square is a square array of numbers consisting of the distinct positive integers $1, 2, ..., n^2$ arranged such that the sum of the $n$ numbers in any horizontal, vertical, or main diagonal ...
5
votes
1answer
90 views

Combinatorics research project [closed]

I am looking for a topic to do an undergraduate research project on in the field of combinatorics. I want the project to relate to computing. Like I mean I want to code a program and test cases .... ...
1
vote
0answers
28 views

Information requested regarding variant square brackets

This is a usage question that may or may not be relevant to mathematics. However, as the representative to the Unicode Technical Committee for the STIX project [*], which involved adding mathematical ...
6
votes
6answers
893 views

I feel like I'm not enjoying Maths, but studying for the sake of exams [closed]

I am currently studying Year 9 Mathematics(perhaps I shouldn't ask middle school related questions here...) I've recently started studying/learning Maths 'seriously'; As in I started having hours of ...
2
votes
2answers
101 views

Interesting areas of study in point-set topology

I'm undertaking a little self-study in point-set topology, because my undergraduate course does not have a module in Topology. I have a copy of Topology by James Munkres, but do not have the time to ...
3
votes
3answers
124 views

mathematical rigore for an engineer! [closed]

I recently bought a used copy of "Mathematical Analysis" by Apostol for \$1.0 and "Probability and Measure Theory" by Robert Ash for \$3.0 (well another \$3.99 for shipping)! When I read the first few ...
3
votes
1answer
97 views

Should I move on to more abstract math? [closed]

I am a junior in high school currently in multivariable calculus (online) and find it kind of boring since it's similar to Calc BC from last year, emphasizing applications of math to, for example, ...
1
vote
1answer
92 views

How much of mathematical ability is innate? [closed]

Math has always been a source of frustration and anxiety for me, purely because I am so bad at it. I'm in my final year of highschool, and can say now that math is the only class I truly struggle ...
0
votes
1answer
34 views

Advice: applying/getting into number theory and algebra

I am currently a junior in a completely unknown liberal arts college/mathematics department. So far, I have take two courses in Abstract Algebra and group theory, one in linear algebra, currently ...
0
votes
2answers
103 views

Textbook for Mathematical Logic

I am about to take an undergraduate course in Mathematical logic any textbooks to recommend.Want it to be rigorous and not missing things. I am an Math undergraduate. Got still 2 years for my degree. ...
1
vote
0answers
106 views

Solutions for “What is Mathematics?” by Richard Courant

I am currently reading through Courant's "What is Mathematics?" Most of the time I am not taking the exercises too seriously, given that I am reading this for pleasure, and that often my solutions are ...
0
votes
1answer
48 views

Concepts to learn before learning Stochastic Processes? [closed]

Does the knowledge of Markov chains required before learning Stochastic processes? What are the other concepts that I need to learn before learning stochastic processes?
0
votes
4answers
106 views

How to study Linear Algebra when lecturer moves too fast [closed]

Our Algebra and geometry class is moving so fast the lecturer does not have enough time to cover all material in class, and he is not very pedagogical at that. Trying to fill in gaps through reading ...
-3
votes
1answer
97 views

Do I really need to know number theory? [closed]

I'm an avid math student and have delved into the world of calculus, differential equations, and analysis. Now I am faced with number theory, and it looks incredibly dull to me. It seems as though it ...
2
votes
2answers
78 views

How important is it that I study Probability if I like Analysis/Algebra much more?

Is it crucial to a student's undergraduate studies in Math that he/she takes a course in Probability and/or Statistics? I am much more interested in Analysis/ Algebra and I was wondering if it would ...
4
votes
0answers
79 views

A discontinuous function $f: X \rightarrow Y$ satisfying: for each closed ball $B$ of $Y, f^{-1}(B)$ is closed in $X$

Find a function $f: X \rightarrow Y$ between metric spaces $X$ and $Y$ that is not continuous but has the property that for each closed ball $B$ of $Y, f^{-1}(B)$ is closed in $X$ Solution Attempt: ...
5
votes
3answers
472 views

What is the pre-requisite knowledge for generating my own integer sequence?

I've recently come across the On-Line Encyclopedia of Integer Sequences and I'm completely fascinated by it; something about how easy integers are to grasp and yet how complex the sequences are. I ...
0
votes
1answer
119 views

Background for Graduate Real Analysis I Class [closed]

This semester, I have signed up for a graduate Real Analysis I course (really a course in measure theory/Hilbert Spaces/Lebesgue integration) and have thus far attended two lectures. However, from ...
3
votes
1answer
194 views

Undergraduate mathematics competitions

I am a freshman (math undergraduate) here in Argentina and I am deeply interested in mathematical olympiads but I really need some advice. Right now, my problem solving skills are good but not that ...
10
votes
2answers
286 views

Jobs in industry for pure mathematicians [closed]

While I love research and academia and would prefer to continue there, I've found myself in industry and haven't felt it's a good match for my interests. Moreover, I'm constantly frustrated by the ...
4
votes
1answer
156 views

Bridge between High School Mathematics and University-level Mathematics?

I've graduated from High School and I am going to major in math at a local University. I've finished High School Calculus and I've self-studied very very basic Multivariable Calculus, Linear Algebra, ...
2
votes
1answer
255 views

Failed Calc 2. It's the Algebra, stupid [closed]

Well, I took "Multidimensional Math" w/ Linear Algebra and Calculus 2 at the same time over a 6 week period for the Summer session. It was a disaster. I don't think my Algebra and Trig are good ...
0
votes
2answers
104 views

Next step to learn mathematics for a high school student? [closed]

I am a high school student. I would like to study mathematics at university. Because I want to be successful in my studies and in productive research so I want to learn and practice more mathematics ...
3
votes
1answer
93 views

Troubling questions about probability

Suppose we have some random phenomena. Is it true that any event concerning the phenomena has a fixed "correct" probability? That is, the correct probability is the relative number of occurrences of ...
3
votes
1answer
90 views

Probability question from GRE subject test

I ran across the following problem while practicing for the GRE math subject test: Suppose $X$ is a discrete random variable on the set of positive integers such that for each positive integer $n$, ...
21
votes
2answers
384 views

Is there a profitable way to read mathematical proofs

Mathematical proofs are often presented in a sequential way, i.e., presenting definitions, building lemmas based on these definitions, building further results on these lemmas and finally invoking a ...
0
votes
2answers
76 views

Rudin's Chain Rule

Rudin's chain rule theorem goes like this: Suppose $f$ is continuous on ${[a,b]}$, $f'(x)$ exists at some point $x\in [a,b], g$ is defined on an interval $I$ which contains the range of $f$, and ...
1
vote
0answers
43 views

Dihedral group and symmetry group of icosahedron

I am studying abstract algebra at the moment, but I have several troubles picturing the dihedral group $D_n$ and the symmetric group of the icosahedron. For instance, I find it really hard to solve ...
1
vote
1answer
58 views

research in special function with Lie algebra

First of all, I don't know if this is the right place to ask about this. If not, please direct me somewhere I can get more help. I have to research in the field of special functions with a lie ...
2
votes
1answer
87 views

literature on advanced calculus [closed]

I need your opinions on this particular textbook: Advanced Calculus by Robert C. Buck. In my first year in college I finished two semesters of single-variable calculus and now I'm looking for a proper ...
8
votes
1answer
200 views

Do Electrical Engineering Researchers Usually Know Higher Math? e.g. Measure and Distribution Theory, Functional Analysis

I am an EE undergraduate student, and I recently took two courses in signals and systems. We were exposed to things like the Dirac delta (without mention of distributions), Fourier series (without ...
3
votes
0answers
82 views

Classical geometry vs. p-adic geometry

I am interested in learning more about $p$-adic analysis and some of the geometric theories that are commonly used. However, it seems that many of the tools there are developed from analogous ...