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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1
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3answers
35 views

Mathematics for Guidance, navigation and control

I'm finishing my math degree this week and have been looking for some subject to practice and study on my own while I'm doing some work as a programmer. I'm interested in getting my master's later but ...
0
votes
0answers
59 views

Where can I share findings research with other mathematicians? [closed]

I have created a very interesting integral representation for the sum $\sum_{j=1}^n\frac{1}{j^k}$. From this formula, one can deduce for example the values of Riemann's Zeta function at the positive ...
2
votes
2answers
46 views

Will conquering the two basic actuary exams, p and fm, be too difficult to do alone? [closed]

I'm currently a PhD student in mathematics at a decent sized graduate school, but I've been questioning my desire to continue on and finish my doctorate after I achieve my master's, which will occur ...
-1
votes
0answers
66 views

Recommendations on how to direct my study of Math

This semester I decided to take an Honors Calc 3 class which managed to be an Intro to Analysis Class and an Applied Combinatorics Class. To get an idea of things I've learned the topics I've covered ...
0
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0answers
46 views

Good books on Algorithms for a math major without any programming experience?

I couldn't find this question anywhere else so it may not be apt. I am an undergraduate mathematics major and during my discrete math class I really enjoyed the study of algorithms and recursive ...
44
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25answers
3k views

What books should I get to self study beyond Calculus for someone about to start undergrad mathematics?

I am struggling to pick out books when it comes to self studying math beyond Calculus. My situation is as follows. I have taken all math courses at my school (up to Calc BC and AP Stats) and I have ...
0
votes
3answers
61 views

Where to start Stochastic processes

This semester I have the course stochastic processes in university but as our instructor is awful I can't rely on him and I should study this course on my own.To start, I need a suitable book for ...
0
votes
0answers
46 views

Graduate student in Number Theory, need advice on choice of courses

I am starting my MSc in Mathematics next Fall (European university) and I intend to lean more towards number theory. Each semester, in addition to some elective courses in number theory, I have to ...
0
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2answers
37 views

Dealing with computations that are tedious and time consuming

In attempting mathematics homework question one of the greatest redundancies I generally face is having to deal with long winded and tedious computations. For instance, in the field of Quantum ...
3
votes
1answer
58 views

What are Stochastic Processes and Combinatorics useful for?

I am a math major and I am trying to figure out what math classes I want to take next semester. My question is what industries are Stochastic Processes and Combinatorics useful for? I haven't ...
2
votes
2answers
100 views

Advice for an undergraduate math major [closed]

I've recently switched into the mathematics department at my university preceding my second sophomore semester. My question is the following: What should I study over the summer to best aid my ...
1
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2answers
34 views

How to do large number of arithmetic operations

I'm having trouble with doing long arithmetic operations. Generally if the equation involves addition, subtraction, division and multiplication and it's larger than 2-3 lines of A4 paper, I can be ...
0
votes
0answers
34 views

*ADVICE* Intuition about techniques for disproving the existence of simple groups of given order

Looking for some feedback on how to know when to use the different techniques for disproving there are no simple groups of a given order. the techniques being: 1) counting elements 2) using ...
1
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0answers
75 views

Understanding Higher Orders and Levels of Mathematics [closed]

this is a more general question than the most. As a background, I'm currently a graduate student getting my masters in mathematics. I have what I believe is a strong passion for mathematics, though ...
25
votes
6answers
3k views

How long to do math each day? [closed]

I have seen some posts math.SE (mkko's answer) indicating that it is the norm for (undergrad?) math majors to study 70-80 hours per week. I'm a little bit shocked by that. For some background on me, ...
2
votes
1answer
78 views

Stochastic processes book suggestions.

I would like to find a book that introduces me gently to the subject of stochastic processes without sacrificing mathematical rigor. It would be great if the book has lots of examples and that the ...
0
votes
1answer
38 views

Abstraction and/or concreteness - What should be emphasized

Alexandar Grothendieck was probably a mathematician focusing on theory developement and abstraction much much more than focusing on concrete examples and/or problems. In his biography, he wrote: ...
0
votes
1answer
99 views

Question about Bachelor thesis and future lectures. [closed]

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 ...
6
votes
3answers
223 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
102 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 ...
2
votes
2answers
55 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
381 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
87 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 ...
19
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
53 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
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1answer
78 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
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1answer
74 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
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1answer
47 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
123 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 ...
3
votes
0answers
23 views

Looking for references for learning the words and sentences used in proofs

I'm familiar with textbooks on logic, proof techniques, and sets. But I have yet to encounter a textbook that dives into the language used w/ definitions and sentence structure used in proofs, for ...
4
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0answers
135 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 ...
0
votes
1answer
50 views

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

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 ...
12
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
120 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
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0answers
40 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
97 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 .... ...
2
votes
0answers
32 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
931 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
106 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
127 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
105 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
111 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
41 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
128 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
139 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
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1answer
52 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
108 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
111 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
82 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
81 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: ...