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# Mathematics Discussions (16)

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### Very cute math problem

Suppose  a_0, a_1, ..., a_n, ...  are positive integers, and  a_0 < a_1 < ... < a_n < ...  Prove there's a unique  n  >= 1,…

Started by Luara

0 Jul 31

### Puzzle in real analysis

Suppose f is a continuous function on some open subset S of the real numbers, to the positive real numbers.  Suppose the integral of f over…

Started by Luara

4 Apr 19

### 1+2+3+4+5+... = -1/12

A strange derivation: This sum 1+2+3+... = -1/12 is used in physics a lot believe it or not. This can be rationalized sort of: The Riemann…

Started by Luara

16 Mar 4

I just finished reading the course in p-adics for undergraduates that I found online, making various annotations.  It turns out this was a…

Started by Luara

0 Jan 12

### Speaking of math errors ...

I found this false lemma in a math text online: Suppose f: A --> B is a monotone bijection between two subsets of R (the real numbers). …

Started by Luara

3 Jan 5

### Progress on twin primes conjecture by a non-expert

The twin primes conjecture says there are infinitely many primes  p  such that  p+2  is also prime.  A new proof by a mathematician who isn…

Started by Luara

0 Sep 22, 2013

### Math and physics popularizations with substance

There's a style of "popular" books about math and physics that involves actually learning some of the math and physics.  They don't just ta…

Started by Luara

3 Jun 9, 2013

### Math for Amateurs?

Is there such a thing as an amateur mathematician? I mean I am slowly becoming infatuated with math and numbers, especially their abstract…

Started by Ronni

5 Mar 2, 2013

### Fun math puzzle

Here's a math puzzle for you: Suppose f is a function from the natural numbers (1,2,3...) to the natural numbers, and (f(m)+n)(f(n)+m) is a…

Started by Luara

3 Feb 25, 2013

### I need help!

I have a problem that seems really basic, but for whatever reason I keep messing up... f(r) = 7/(1+r)^2 Find the average value of the fun…

Started by James Yount

1 Sep 3, 2012

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