## MathOverflow by Kiwix

Q&A for professional mathematicians

### Most popular questions

690 Examples of common false beliefs in mathematics 2010-05-04T21:02:58.510

415 Polynomial bijection from $\mathbb Q\times\mathbb Q$ to $\mathbb Q$? 2010-04-11T12:03:13.993

331 Why do roots of polynomials tend to have absolute value close to 1? 2014-10-02T20:54:13.120

306 Proofs without words 2009-12-14T06:04:14.923

277 Thinking and Explaining 2010-09-14T02:13:50.010

270 Not especially famous, long-open problems which anyone can understand 2012-06-21T18:30:34.743

254 Philosophy behind Mochizuki's work on the ABC conjecture 2012-09-07T01:06:48.947

240 Why do so many textbooks have so much technical detail and so little enlightenment? 2010-01-27T01:52:40.797

238 Polynomial representing all nonnegative integers 2009-12-25T06:40:19.630

235 Widely accepted mathematical results that were later shown to be wrong? 2010-08-13T10:12:59.930

230 Why is a topology made up of 'open' sets? 2010-03-23T22:25:01.557

217 Geometric Interpretation of Trace 2010-01-31T01:49:07.330

213 Which journals publish expository work? 2010-02-15T21:24:03.663

213 John Nash's Mathematical Legacy 2015-05-24T15:58:37.680

210 Mathematical games interesting to both you and a 5+-year-old child 2017-09-18T21:29:35.607

207 A single paper everyone should read? 2009-10-23T18:42:05.273

207 What are some examples of colorful language in serious mathematics papers? 2010-04-23T05:01:02.703

203 Examples of unexpected mathematical images 2014-08-09T07:01:31.603

197 What are some reasonable-sounding statements that are independent of ZFC? 2009-10-22T19:26:48.983

191 What's a mathematician to do? 2010-10-26T16:53:25.853

188 Refereeing a Paper 2010-08-24T22:45:04.400

184 A Game on Noetherian Rings 2012-04-06T03:24:54.820

180 What elementary problems can you solve with schemes? 2011-03-21T15:48:21.763

179 Awfully sophisticated proof for simple facts 2010-10-17T15:16:59.150

177 Intuitive crutches for higher dimensional thinking 2010-05-26T09:49:53.130

176 Fundamental Examples 2009-11-11T07:52:13.173

171 Proofs that require fundamentally new ways of thinking 2010-12-09T15:08:32.523

170 Two commuting mappings in the disk 2009-10-29T20:16:45.327

170 Have any long-suspected irrational numbers turned out to be rational? 2010-07-22T16:06:17.797

170 Demonstrating that rigour is important 2010-09-03T13:08:22.820

168 Your favorite surprising connections in Mathematics 2010-02-08T00:10:18.557

165 Ultrafilters and automorphisms of the complex field 2010-05-09T21:00:21.057

161 Is $\mathbb R^3$ the square of some topological space? 2011-04-02T18:42:06.113

161 Ideas on how to prevent a department from being shut down. 2011-04-27T20:05:55.783

160 Is there an introduction to probability theory from a structuralist/categorical perspective? 2010-04-08T15:18:55.203

158 What should be learned in a first serious schemes course? 2010-06-17T12:49:42.873

157 Why worry about the axiom of choice? 2010-04-29T02:57:58.080

153 Real-world applications of mathematics, by arxiv subject area? 2009-10-26T04:38:56.293

152 Best Algebraic Geometry text book? (other than Hartshorne) 2009-10-25T10:19:33.363

151 Magic trick based on deep mathematics 2009-12-25T22:07:11.903

150 Most interesting mathematics mistake? 2009-10-17T14:28:43.527

150 Ways to prove the fundamental theorem of algebra 2010-01-02T22:11:26.197

148 If $f$ is infinitely differentiable then $f$ coincides with a polynomial 2010-07-31T21:37:22.197

147 Do good math jokes exist? 2009-10-18T21:47:45.010

147 What are your favorite instructional counterexamples? 2010-03-02T05:57:45.173

147 The most outrageous (or ridiculous) conjectures in mathematics 2017-01-17T19:55:08.770

146 Best online mathematics videos? 2009-10-21T20:21:43.117

146 How do I make the conceptual transition from multivariable calculus to differential forms? 2010-01-03T10:11:45.010

146 Books you would like to read (if somebody would just write them...) 2011-01-24T10:23:39.420