Questions about studying mathematics without formal instruction.
2
votes
2answers
122 views
Unfamiliar inequality rules in proofs. (learning proofs)
Without going into too much detail, I don't think we actually went over inequalities in much depth in any crappy high school or college math class I've ever taken. Now that I am studying proofs, I ...
1
vote
2answers
40 views
The maths required for an economics degree
I have a degree in computer science and I wanted to do another degree in economics.
However, my maths have been weak since high school always scoring slightly above passing rate. During my course of ...
0
votes
2answers
98 views
If $p_1 = 0.3$ and $p_2 = 0.4$, what is the probability that it will take Jay more than 12 hours to be successful on both jobs?
Jay has two jobs to do, one after the other. Each attempt at job $i$ takes one hour and is successful with probability $p_i$. If $p_1 = 0.3$ and $p_2 = 0.4$, what is the probability that it will take ...
5
votes
1answer
148 views
Philosophy of learning mathematics (combinatorics)
How does one learn mathematics in depth and well? I think I may be studying mathematics incorrectly, or I could be doing it a lot more efficiently/effectively. Sometimes I feel like I need every ...
2
votes
1answer
73 views
How does one study with many textbooks?
Suppose you wanted a good understanding of a subject, and so you start reading a recommended textbook. But it turns out that the textbook you have has a different perspective/omits certain topics, ...
2
votes
1answer
106 views
Fexible distance learning Mathematics programme
I am looking for a flexible Mathematics degree programme from a reputable institution.
By flexible here I mean:
Able to take the programme at one's own pace
The option to complete the programme at ...
1
vote
1answer
80 views
The shape of mathematical self-tutelage
I am interested primarily in physics, and I am generally self-taught in mathematics. However, this implies an inaptitude for rigorous proof. While I am confident that I can grasp the concepts and ...
1
vote
1answer
86 views
Recurrence relation: $T(n) = T(n-1) + 1/n$
\begin{align}
T(0) & = 0 \\
T(n) & = T(n-1) + \dfrac{1}{n}
\end{align} solve the recurrence relation
My work so far:
\begin{align}
T(1) & = 1 \\
T(2) & = 1 + \dfrac{1}{2} \\
T(3) ...
0
votes
1answer
133 views
What's the best way to measure mathematical ability?
Very soft question I admit, but it's something that's been bothering me for a while.
I've been thinking that being self taught has the problem of accreditation. You can't evaluate a mathematician ...
0
votes
1answer
196 views
Linear algebra and Multivariable calculus prerequisites for Stochastic Calculus
Which topics are considered "graduate-level" for the following subjects:
Linear algebra
Multivariable calculus
On Internet, it is said that you need "graduate level" Linear algebra and ...
6
votes
0answers
82 views
Advice on learning mathematics
I know it is hard to ask for the perfect method for doing mathematics, but I hope there are some paths that are more preferable over others. I am a engineering student who has switched to mathematics ...
6
votes
0answers
457 views
Efficient ways to read and learn a new topic
I started reading the book "Topology without tears" by Sidney A Morris and lecture notes on "Elementary Number Theory" by WWL.Chen. To get the maximum out of the book and understand the material ...
6
votes
0answers
560 views
Which is better strategy to learn and read books, traditionally one by one OR re-read carefully on perfect books
(Just focus on how to learn and master the stuff pretty well, not involve the aspect of courses or exam)
Because recently I always feel that the time and energy are pretty limited, I want to try ...
4
votes
0answers
35 views
What are the prerequisites for stochastic calculus?
I am not a math student, and only kind of picking up something whenever I need it. After emerged in the field of machine learning, probability, measure theory and functional analysis seem to be quite ...
4
votes
0answers
156 views
physics/mathematic simulations
Related to this question: http://math.stackexchange.com/questions/2626/modelling-forces-acting-on-a-sail
I would like to create a simulation of the forces.
I have done this before with cars:
...
3
votes
0answers
71 views
The high road to learn algebraic geometry
Suppose that a student has a basic knowledge in commmutative algebra at the level of the Atiyah-MacDonald.
What do you think about the following steps to learn algebraic geometry?
step 1: read ...
2
votes
0answers
186 views
Schaum's Outlines for self-study
I wish to learn Physics via self-study. I realize that I have a long way to go as far as Mathematics prerequisites: I will need to begin with Precalculus(I took that course many years ago, so I am ...
2
votes
0answers
232 views
Which branch of mathematics is this and what are the introductory references?
I am self-studying a physics textbook on waves. While discussing solutions to linear homogeneous ODEs, the author talked about the exponential as "irreducible" solutions and on a footnote, said that ...
2
votes
0answers
209 views
Isomorphism of groups with certain property, p-groups
I'm doing exercises from Hungerford's book "Abstract Algebra: An Introduction". The exercise is in section 8.2, numbered 22.
I would like someone to check my proof, as I have reasonable doubts that ...
2
votes
0answers
65 views
How to prove that untyped $\lambda$ and simply typed $\lambda$ are of diferent expressive powers
How to prove that untyped $\lambda$ and simply typed $\lambda$ are of diferent expressive powers, using category theory?
I'm just getting to grips with the basic ideas of category theory, and I'm ...
1
vote
0answers
88 views
Introduction into Operations Research
I am a first year graduate student who advisor wants me to learn about operations research and to use stochastic integer programming in my research. He keeps giving me papers to read but they ...
1
vote
0answers
76 views
Convex analysis books and self study.
I have taken some courses in Convex optimization. Now I would like to know a little bit more about the pure mathematical side. Is there any good books in convex analysis?
I have read and worked with ...
1
vote
0answers
110 views
A rigorous book (or preferrably set of notes) on classic multivariable calculus-analysis?
This is different to (Theoretical) Multivariable Calculus Textbooks as I want a classical treatment of line and surface integrals without the notion of a differential form.
Prerequisites: Paths, ...
1
vote
0answers
137 views
Programmer understanding academic writings on maths
I would like to know in which order I should learn different areas of maths so I can have a robust overview of all the theory in case I need something for a computer programming problem.
So I've ...
1
vote
0answers
164 views
Are Specific Facts about the Riemann Integral Logically Required?
This question is somewhat in the spirit of this one in that I am trying to understand the most efficient path to the major integral theorems (Fubini, change of variables, etc).
My question is this: ...
0
votes
0answers
143 views
Learning Functional analysis in one month.
Background: Master in Engineering, applied physics.
Now: New phd student in applied math.
Goal: Pass functional analysis with good grades.
I have not had so much time for studies period
since there ...
0
votes
0answers
167 views
is Ron Larson books good for starting math
i finish highschool and now im study software enginering(computer) in university . my math is not good and i want to start game programing and now Math is my problem . i search and find Ron Larson ...
0
votes
0answers
161 views
Math books for ultra dummies
I'm searching for an applied math book (preferably applied to computer programming / 3D physics) which covers extensively every passage (complex calculations are just a bunch of semi-atomic operations ...
