231

Answers

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8

Most memorable titles

4

Widely accepted mathematical results that were later shown wrong?

7

What are your favorite instructional counterexamples?

15

What’s your favorite equation, formula, identity or inequality?

3

f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential.

10

When and how is it appropriate for an undergraduate to email a professor out of the blue?

3

Enumerating ways to decompose an integer into the sum of two squares

9

What should we teach to liberal arts students who will take only one math course?

2

Is there an image for you that epitomizes mathematics?

3

Proof that pi is transcendental that doesn’t use the infinitude of primes

2

Examples of seemingly elementary problems that are hard to solve?

43

Why is the Gamma function shifted from the factorial by 1?

5

Nelson’s program to show inconsistency of ZF

5

Books about history of recent mathematics

2

Do actual Sudoku puzzles have a unique rational solution?

3

Does any research mathematics involve solving functional equations?

1

Is there a good reason why a^{2b} + b^{2a} <= 1 when a+b=1?

27

When should you, and should you not, share your mathematical ideas?

1

Good example of a non-continuous function all of whose partial derivatives exist

3

Nash embedding theorem for 2D manifolds

13

Heuristically false conjectures

2

Help me with this proof: Drop a printed map of the land on the land and there must be some common point.

4

Finding all roots of a polynomial

5

Resultant probability distribution when taking the cosine of gaussian distributed variable

6

Collection of equivalent forms of Riemann Hypothesis

4

Using slides in math classroom

5

When Animals Attack

6

Diophantine equation with no integer solutions, but with solutions modulo every integer

6

Which Fibonacci numbers are the sum of two squares? (2)

5

What Are Some Naturally-Occurring High-Degree Polynomials?