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Jul
15
comment Understanding a theorem regarding to monotonic functions
a and b aren't in the interior of I, though
Jul
7
comment Suggestions for a real analysis reference.
I seem to remember Spivak (Calculus) having plenty of diagrams. If that's too low level, try Pugh's Real Mathematical Analysis. At some point the geometry is going to have to be behind the scenes, though... $\varepsilon$ and $\delta$ are the stars of the show in real analysis. I don't have any strictly topological suggestions, sorry.
Jul
6
awarded  Electorate
Jul
5
comment best intuitive books/video lectures to read topology and functional analysis
I imagine the class Jack Dawkins is talking about is this one. It's being offered again in September
Jul
5
revised Recurrence On finance
appropriate tags.
Jul
5
suggested suggested edit on Recurrence On finance
Jul
3
comment Double Integration: $\iint_D\ e^{30x}\ dA$
i'd guess that the computer is interpreting (e^30 - 1) as (e^29)... try more parentheses? or (-1 + e^30)?
Jul
3
comment Prove the duality law for events
Is this using the notation that $AB = A \cap B$ and $A + B = A \cup B$? If so, draw a Venn diagram.
Jul
2
awarded  Curious
Jul
2
revised Supplement for Jacobson's Basic Algebra I
this doesn't pertain to math history and does pertain to reference requests
Jun
29
revised Bond valuation question
fixed tags. certainly not valuation theory.
Jun
29
comment Bond valuation question
@user3055277 The answer is correct.
Jun
29
suggested suggested edit on Bond valuation question
Jun
27
comment What are the most important functions every mathematician should know?
+1 for the ?(x) function, this one is new to me!
Jun
21
comment Must take online Maths Courses
Have you looked at the khan academy website?
Jun
12
comment Getting the pmf from probability generating function?
1) use the product rule to find the derivative. 2) yes, there's an easier way, if you can recognize what distribution it fits (try some algebraic manipulation)
Jun
12
comment What is the PDF of a function with 2 variables?
your question doesn't make sense. there's no reason to "invert" at all. perhaps you mean integrate? 1) if you integrate f and then take the derivative, you're going to end back up at f. so, f is already your pdf (maybe you need a scaling constant?). 2) there's no domain listed for your function, but it's clearly not defined at r=0, so to find the scaling constant (if any) you'll need to calculate an integral based on some bounds you haven't given us.
May
31
comment PCA - How to calculate the scores
Take a look at the wikipedia page for PCA, it is very thorough. See also this question on the stats stackexchange.
May
30
comment Calculating number of standard deviations that contain $x$ percent of data
is this helpful?
May
25
comment Question: heat equation for the laser-drilling equation
What is the question here? To solve the PDE?