504

Answers

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8

Fundamental Examples

9

Where does a math person go to learn quantum mechanics?

54

Examples of great mathematical writing

13

Which mathematical ideas have done most to change history?

11

Fourier transform for dummies

22

What is convolution intuitively?

8

What should be learned in a first serious schemes course?

19

What are the most attractive Turing undecidable problems in mathematics?

51

Which math paper maximizes the ratio (importance)/(length)? (2)

5

The phenomena of eventual counterexamples

8

Memorizing theorems

1

Why is the gradient normal?

6

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

1

How do I make the conceptual transition from multivariable calculus to differential forms?

2

Interesting applications of the Pigeon-hole Principle

38

Most harmful heuristic?

1

Mathematical podcasts/audio

17

What is the first interesting theorem in (insert subject here)?

5

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

8

The importance of EGA and SGA for “students of today”

9

Fields of mathematics that were dormant for a long time until someone revitalized them

1

Old books still used

15

Blackbox Theorems

5

Linear Algebra Proofs in Combinatorics?

31

Why should I believe the Mordell Conjecture?

7

japanese/chinese for mathematicians?

18

Interpreting the Famous Five equation

14

Theoretical physics: Why not just R^4?

5

Linearity of the inner product using the parallelogram law

11

Interesting results in algebraic geometry accessible to 3rd year undergraduates