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12h
comment What is $1^k+2^k+\cdots+ (p-1)^k$ modulo $p$? (From Ireland and Rosen).
Dear Andre - I would be remiss if I did not thank you for your generosity and most beautiful answers, helping all of us here. Best regards,
1d
answered Abstract Algebra Book Request
1d
accepted Rationale for expressing as a direct sum and a direct product
2d
answered Reference request for undergraduate complex analysis.
2d
asked Rationale for expressing as a direct sum and a direct product
Aug
26
answered What sequence should I study these topics in?
Aug
26
comment Mortgage bond monthly repayment
This is just a remark: how do they come up with a coupon like that? It is virtually usurious in several states here in the US.
Aug
26
accepted How to evaluate the integral $\int e^{ipx}e^{ipx} d^{3}x = 0$
Aug
26
answered Self studying higher mathematics?
Aug
25
comment Test for an Integer Solution
Dear Zubin - I actually also went to Yale, but had no notion of this as a freshman (or later for that matter since I am a self-studier, starting when I was 66). Wishing you much success. With regards,
Aug
24
comment Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer?
Dear Pete L. - Rereading "I&R" and revisiting this question, I very much appreciate this outstanding answer. In that the question comes in CH 1, the seemingly only applicable tool (I would not have thought of it) is the ord function. Thanks,
Aug
23
comment Algebra-Precalculus Questions
for #2, why don't you just try (square) each of them. Also, you should be able to recognize $(a + b)(a - b)$.
Aug
11
comment Is “There are no absolute truths” a paradox?
@DanielFischer Stopped me in my tracks. Thanks.
Aug
11
asked Is “There are no absolute truths” a paradox?
Aug
10
accepted Reference request: Integrals involving $[x]$, $\{x\}$, $d[u]$, $d\{u\}$
Jul
31
comment Actuarial Science or Financial Mathematics?
@AndrewGSM familiarity with regulations and various financial reporting requirements. Best of luck,
Jul
31
comment Actuarial Science or Financial Mathematics?
@AndrewGSM AS you can imagine most things done in the world of finance are meant to be productive. The math is not trivial and a strong math capability is a big plus. For example a well-known hedge fund manager specializing in mortgage-backed securities and their risk manager were math students at Harvard. Not to say business decisions are based on pure formulation. But the ability to see the way various, often arcane, products function entails a large math component. By contrast, you might think of an actuary as a specialized accountant, where a lot of professional activity entails...
Jul
31
answered Actuarial Science or Financial Mathematics?
Jul
24
awarded  Citizen Patrol
Jul
20
comment How to evaluate the integral $\int e^{ipx}e^{ipx} d^{3}x = 0$
@Winther I think you are probably right. I added the reference and specifically what he was trying to show. Maybe your expertise will resolve it. Regards,