User Piyush Grover

57 votes

Every mathematician has only a few tricks

answered Jun 15, 2020 at 17:43

34 votes

Publishing conjectures

answered Apr 28, 2017 at 16:33

24 votes

Insightful books about elementary mathematics

answered Sep 20, 2013 at 19:27

23 votes

Looking for an interesting result on the Navier-Stokes equations

answered Apr 4, 2022 at 14:10

20 votes

Mathematical conjectures on which applications depend

answered Jan 18, 2018 at 22:56

20 votes

Examples of incorrect arguments being fertilizer for good mathematics?

answered Feb 5, 2020 at 20:54

19 votes

What "real life" problems can be solved using billiards?

answered Feb 5, 2015 at 20:44

18 votes

Applications of the Cayley-Hamilton theorem

answered Feb 25, 2016 at 18:12

16 votes

A search for theorems which appear to have very few, if any hypotheses

answered Feb 17, 2016 at 17:22

15 votes

Accepted

Steepest descent/gradient descent as dynamical system

answered Oct 24, 2016 at 17:40

13 votes

What areas of pure mathematics research are best for a post-PhD transition to industry?

answered Apr 2, 2014 at 12:32

10 votes

What are some deep theorems, and why are they considered deep?

answered Aug 16, 2013 at 21:35

10 votes

Book Recommendation - PDE's for geometricians / topologists

answered Aug 26, 2013 at 14:21

10 votes

How useful is differential geometry and topology to deep learning?

answered Jan 11, 2020 at 18:00

9 votes

Open problems in PDEs, dynamical systems, mathematical physics

answered Mar 20, 2013 at 14:29

9 votes

Book on the Three body Problem

answered Jun 16, 2013 at 19:04

8 votes

Tying knots via gravity-assisted spaceship trajectories

answered Jun 1, 2018 at 23:51

8 votes

Proofs where higher dimension or cardinality actually enabled much simpler proof?

answered May 21, 2020 at 13:43

6 votes

Open problems in mathematical physics

answered Jul 9, 2017 at 12:34

6 votes

Journals and other sources with "easy reading" papers?

answered Oct 25, 2017 at 0:25

6 votes

Accepted

Physical interpretation of the Manifold Hypothesis

answered Jan 28, 2020 at 21:46

5 votes

Looking for Arnol'd quote about Russian students vs western mathematicians

answered Jan 18, 2017 at 13:09

5 votes

Accepted

Literature Request: Finite Dimensional "Approximations" of Linear Operators

answered Jan 3, 2018 at 17:29

5 votes

Mathematical Paper That Just Links Two Different Fields of Sciences

answered Mar 28, 2013 at 15:28

4 votes

Restricted Three-Body Problem

answered Mar 18, 2013 at 18:21

4 votes

How does the work of a pure mathematician impact society?

answered Jul 19, 2013 at 13:25

4 votes

Most helpful math resources on the web

answered Apr 12, 2013 at 15:40

4 votes

Fundamental Problems in Mathematics that, without Computer Sciences, would not be resolved?

answered Jan 18, 2014 at 21:44

4 votes

Practical applications of Sobolev spaces

answered Mar 6, 2019 at 1:02

4 votes

What are the Poincaré invariants for a specific interesting low-dimensional (4 or 6) Hamiltonian system?

answered Sep 28, 2017 at 22:44

Stack Exchange Network

75 Answers

Every mathematician has only a few tricks

Publishing conjectures

Insightful books about elementary mathematics

Looking for an interesting result on the Navier-Stokes equations

Mathematical conjectures on which applications depend

Examples of incorrect arguments being fertilizer for good mathematics?

What "real life" problems can be solved using billiards?

Applications of the Cayley-Hamilton theorem

A search for theorems which appear to have very few, if any hypotheses

Steepest descent/gradient descent as dynamical system

What areas of pure mathematics research are best for a post-PhD transition to industry?

What are some deep theorems, and why are they considered deep?

Book Recommendation - PDE's for geometricians / topologists

How useful is differential geometry and topology to deep learning?

Open problems in PDEs, dynamical systems, mathematical physics

Book on the Three body Problem

Tying knots via gravity-assisted spaceship trajectories

Proofs where higher dimension or cardinality actually enabled much simpler proof?

Open problems in mathematical physics

Journals and other sources with "easy reading" papers?

Physical interpretation of the Manifold Hypothesis

Looking for Arnol'd quote about Russian students vs western mathematicians

Literature Request: Finite Dimensional "Approximations" of Linear Operators

Mathematical Paper That Just Links Two Different Fields of Sciences

Restricted Three-Body Problem

How does the work of a pure mathematician impact society?

Most helpful math resources on the web

Fundamental Problems in Mathematics that, without Computer Sciences, would not be resolved?

Practical applications of Sobolev spaces

What are the Poincaré invariants for a specific interesting low-dimensional (4 or 6) Hamiltonian system?