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Questions tagged [advice]

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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0answers
38 views

Career Advice: Where to apply Analysis in Industry?

$\textbf{Background:}$ I am a fourth-year undergraduate at a major university in the US, and I will be staying for a fifth year before proceeding to pursue a masters degree. I have taken courses in ...
1
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1answer
21 views

How do I determine the interval over which my error calculation should be conducted?

I've been instructed to find the values of x for which the function $f(x) = e^{-2x}$ may be approximated by the Maclaurin series $1-2x+2x^2-\frac{4}{3}x^3$ with an error of less than 0.001, but no ...
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votes
1answer
14 views

Determining the values for which a Maclaurin Polynomial approximates $f(x)=\cos(x)$ within an error of 0.001

I'm tasked with determining the values of $x$ for which $f(x)=\cos{x}\approx 1-\frac{x^2}{2!}+\frac{x^4}{4!}$ has an error no greater than 0.001. Using the error for Taylor polynomials $E = |R_n(x)| =...
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3answers
639 views

General Advice on choosing Mathematics as career path [closed]

Firstly, i know that this question will be closed ultimately. But i want to know opinions of various mathematicians here, which is important My Background : I am Bachelors of Arts graduate, 27, ...
1
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1answer
56 views

General question: Lack of confidence in problem solving [closed]

I am not sure if this is the appropriate place to ask this question so forgive me if it is not. I am a first year graduate student in mathematics. Often times when I face a relatively difficult ...
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0answers
61 views

Advice for last year math undergrad.

I am in my last year math undergrad. I am taking theoretical statistics and a dynamic modeling course, and I need 2 more courses after these. While I received As in everything I did at a community ...
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votes
1answer
53 views

Can someone help? need to find the a and b for this function. Anything helps!! [closed]

enter image description here Function is $f(x)= ax^4-25x^3+2x^2+25x+b $ it passes through (7,E) E= 1296 and there is a zero of -1
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2answers
36 views

Recommended resources for finding nth partial sums of series

I'm working a lot with series these days, and I would like to know if there are any texts, papers, articles that might suggest a general outline for finding $n$th partial sums of convergent series. ...
3
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1answer
104 views

(Soft question) How to study for a proof-based math class?

I'm an undergrad at a top US university and I'm currently taking an Introduction to Analysis class. I really really enjoy this class and it's actually getting me more interested in math in general. I ...
1
vote
3answers
72 views

Best resources for learning/practicing beginning topology?

I'm an undergrad with minimal experience in proof-based classes, and I'm in a pickle with a current course. Normally, I have trouble understanding and/or retaining information during lectures, so I ...
3
votes
1answer
85 views

As someone without a maths background, how should one study for a mathematical logic master's degree? [closed]

I have a background in philosophy and I am currently enrolled in a Master's degree in logic. I prepared as best as I could before I enrolled (read How to Prove It by Daniel Velleman and chapters on ...
5
votes
1answer
56 views

How to interpret objects and symbols in written mathematics?

When reading mathematics how do you intuitively interpret the given objects such as sets, functions, sequences, etc? do you automatically visualize them graphically? When dealing with sets $A, B, X, ...
2
votes
1answer
59 views

Number theory learning curve

I am a software developer with a Bachelor's degree in IT. During my educational years I have never been even remotely interested in math and also believed that you have to be born with mathematical ...
2
votes
1answer
66 views

Publications in differential geometry [closed]

I am a senior year mathematics undergraduate who is reading "Analysis on manifolds" by Munkres and "topology from a differentiable viewpoint" by Milnor. I would like to know how can I find a simple ...
1
vote
1answer
37 views

Given a graph $G = (V, E),$ prove that if $|E| > \binom{ |V| -1}{2}$ then the graph is connected.

I know that a similar exercice was already posted on this website but I would like to have a piece of advice concerning the method/way of thinking I used to solve this problem. I don't know if I can ...
2
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0answers
62 views

Bachelor thesis in mathematical physics.

After 3 years of study of mathematics and physics, I wish to write my bachelor thesis, starting in September, on a mathematical physics subject. I have prior mathematical knowledge of differential ...
2
votes
0answers
48 views

On the choice of your university and how it affects your career [closed]

I am a bachelor student in mathematics in Switzerland, and this question has been on my mind for a while. To begin with, how much does the university you're studying at influence your "mathematical ...
4
votes
1answer
92 views

How do you manage your study time at university? [closed]

I'm studying 3rd year maths at university and havent done that well in my first semester. I'll be starting 2nd semester next week on 4 maths subjects. I want to study through everything in my 3 maths ...
3
votes
4answers
330 views

How challenging did you find Real Analysis before the penny dropped? [closed]

I've been following 'Understanding Analysis by Stephen Abbot' and have been struggling with exercise questions even after an in depth read of the chapters. I have read numerous statements by authors ...
0
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0answers
52 views

Background of Commutative Algebra for Cohen-Macaulay orders and bibliography

In this semester, I'm doing a project in Algebra, and I would like take some advices and suggestions. To be more precise, I will study the Cohen-Macaulay Orders and modules in relation to the Krull ...
7
votes
2answers
732 views

Graduate School (Can I be a Mathematician?) [closed]

I am posing this question for myself, but many people surely are wondering the same, so I think this is valuable for others as well as myself. There are similar questions on the site but they do not ...
4
votes
0answers
88 views

How do you stay focused in advanced (pure) mathematics lectures?

Throughout my entire university career, I've found it incredibly difficult to focus during lectures, so much so that I at one point stopped going because I found it easier to just learn it on my own. ...
2
votes
1answer
148 views

Is pursuing a maths degree right for me? [closed]

I'm currently going torough the most humiliating moment of my life and I would really apreciate a honest advice from someone who works in the field of mathematical research. This year was my first ...
1
vote
1answer
67 views

Maximizing the total number of feasible constraints of a linear program

I have an optimization problem with $N$ linear inequality constraints and $K$ real valued parameters (e.g. $0.2\alpha_1+0.5\alpha_2\geq 0$, $K=2$) and no objective function. Here $N$ is much larger ...
1
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0answers
91 views

What subjects to study to improve “mathematical maturity/fluency” to learn more efficiently?

tl;dr: What advanced math subjects should I study to be able to learn new material more efficiently? I recently finished undergrad as a computer science major, but in my current work there's a ton of ...
3
votes
1answer
126 views

Good Proof Problems for a High School Student?

High school student here... So recently, I have accomplished what I am considering the most exciting breakthrough of my mathematical journey so far... I WROTE A PROOF! I proved that the sum of any ...
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votes
2answers
49 views

How to substitute trigonometry intuitively?

Given a sequence $\{a_i\}$ such that $a_1=1$ and $a_{n+1}=a_n+\sqrt{1+a_n^2} \;\;\;\;\; \forall{n \in {\mathbb{N}}}$ Calculate $$\lim_{n\to \infty}\frac{a_n}{2^n}$$ I had the answer with me. ...
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0answers
104 views

Fake solution to Navier-Stokes Milennium problem? [closed]

I apologize in advance if this question is in the wrong section. I was looking through the recent published papers in the journal "Applied Mathematics Letters" (Q1 in Scimago, H Index 75) and I found ...
17
votes
2answers
140 views

Learning math while visually impaired

My eyes are destroyed. I have been unable to learn math beyond decimal division in school due to laziness and unhelpful teachers. I am now trying to mitigate this mistake by learning math from the ...
3
votes
0answers
154 views

Algebraic Number Theory and Euler's constant

After studying Herstein's books for Algebra (undergraduate and graduate) alongside some books in Analytic Number Theory, I decided to study Algebraic Number Theory as well. I read a recommendation on ...
1
vote
1answer
43 views

Are there standards for how to structure 4D vector math?

This is a somewhat subjective question, but I am also asking if there are a standards. This question is about the general math but some of it is in the context of computer programming. Some specific ...
2
votes
1answer
172 views

What should one know before learning galois cohomology

I recently became interested in galois cohomology, but I don't know if I have enough math to learn about it or where to start learning it. What should I know before I start learning about Galois ...
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votes
6answers
590 views

What are options after finishing high school mathematics early? [closed]

I am a high school student with two years left until I graduate. I managed to move through my high school math curriculum quicker than expected and am on track to take AP Calculus AB this coming ...
0
votes
3answers
166 views

How to become really interested in math? [closed]

I'm a high school senior. What can I do to be really interested in mathematics ? I know some of my batch-mates (from meeting them at several math Olympiads) are like insanely good at math (know lots ...
1
vote
0answers
102 views

No math camp for math research students? [closed]

I am a beginning graduate student in Mathematics. When I was in school, there were lots of math programs like summer programs to hone problem solving skills. But at the graduate level, I cannot really ...
0
votes
2answers
116 views

Where to go from here (Warning: SOFT QUESTION)

It is now nearing summer time and as consequence, I will have a lot of time on my hands. As such I've been trying to figure out how to spend my time in a productive manner. I need to practice to get ...
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1answer
105 views

Having trouble gaining mathematical intuition

I recently started studying advanced mathematics on my own, after taking two classes in college (discrete math and advanced mathematical logic) that spurred my interest in the topic. However, I am ...
4
votes
6answers
155 views

Is it OK to be picky about math you find interesting? [closed]

I am a layman interested in mathematics, and I would like to hear mathematicians' views on the following: Is it normal to be picky about mathematical stuff you find interesting? I ask because 80% of ...
3
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1answer
63 views

A good and comprehensive book on number theory and group theory

I am looking for a comprehensive and introductory (lot of examples, exercises) book that deals with topics like group theory, Dirichlet characters etc. Thanks for the advice.
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0answers
29 views

Computing with large vectors and matrices

I'm working on a project that requires the use of large data sets; vectors and matrices with millions of entries. Normally I've done my projects (small scale stuff) with Matlab and never had an issue. ...
4
votes
1answer
57 views

Good source of measure / integration computation problems to build intuition?

I have taken course in measure theory based from Royden's "Real Analysis" last year and now am reviewing the subject using Folland. However, neither book seems to have many "computational" problems. ...
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0answers
45 views

Is probability heavily related to graph theory?

Can one take a probability elective course without taking any graph theory or advanced combinatorics class before? lets assume that one knows already the basic difference between variation, ...
2
votes
3answers
102 views

Is there a solution to $y=\ln(x)+x$ which yields an answer in the form $x^2=…$

How could I write $y=\ln(x)+x$ as $x^2=...$ Since there might be another solution to this problem I'll give some background. So I had a math test yesterday where they wanted you to calculate the ...
2
votes
1answer
104 views

Mathematics book recommendation from High school freshman level to Graduate

I am originally from India and there the mathematical curriculum was all about the formulas and not about the understanding.I used to excel at those exams,but since I have moved to Europe I have been ...
2
votes
2answers
166 views

Recommended Books for differential equations?

I am planning to take Differential equations next semester, but due to a timetable issue I want to study most of it this summer in my spare time to make it easier. These are the Topics that will be ...
2
votes
0answers
307 views

Suggestions for a reading list in Statistics and intro to machine learning

I have built a reading list based on recommendations and suggestions found on several posts from this community. My intention is to use this reading list to acquire a good understanding about ...
1
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1answer
188 views

Order of Pure Math Topics to Self Study for PhD Admissions Qualifier

I'm an Industrial Engineering graduate looking to make a switch into Pure Math at the Masters Level/PhD. I have undergrad experience in Calculus (upto Differential Equations) and Probability and ...
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0answers
62 views

Confusion about number theory topics

So, my background in Number Theory is - Elementary Number Theory(that I did mainly from David Burton's text) and Serre's A course in Arithmetic(first half on algebraic methods that included p-adic ...
2
votes
1answer
136 views

Can one study analysis without algebra?

I have completed my B.Sc. in math and will be starting M.Sc. math in a few months. During my undergraduate classes I found the real analysis and general topology courses the most interesting and the ...
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0answers
41 views

Confusing regarding final year modules

My university has released the modules that I am available to take next year in my final year of undergrad. A PDF was also provided grouping the modules into their respective mathematical topics. I'...