User ivan polekhin - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T11:35:03Z http://mathoverflow.net/feeds/user/12075 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/23614/math-history-books/75040#75040 Answer by Ivan Polekhin for Math History books Ivan Polekhin 2011-09-09T21:47:46Z 2011-09-09T21:47:46Z <p>I think <em>Development of mathematics in the 19th century</em> by Felix Klein would be useful.</p> http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/73766#73766 Answer by Ivan Polekhin for Free, high quality mathematical writing online? Ivan Polekhin 2011-08-26T11:21:01Z 2011-08-26T11:21:01Z <p>Gerald Teschl books</p> <ol> <li>Textbook Ordinary Differential Equations and Dynamical Systems</li> <li>Textbook Mathematical Methods in Quantum Mechanics; With Applications to Schrödinger Operators</li> </ol> <p>can be found at <a href="http://www.mat.univie.ac.at/~gerald/" rel="nofollow">http://www.mat.univie.ac.at/~gerald/</a></p> http://mathoverflow.net/questions/13682/which-mathematical-ideas-have-done-most-to-change-history/73758#73758 Answer by Ivan Polekhin for Which mathematical ideas have done most to change history? Ivan Polekhin 2011-08-26T10:38:41Z 2011-08-26T10:38:41Z <p>The invention of <em>new</em> number systems is already mentioned, but I think that the invention of numbers itself is important too. Abstract notion of (natural) number is not so self-evident.</p> <p>The discovery of mathematical induction. It is interesting that our brain makes us understand the infinite number of very similar theorems when we understand only one of them and the one step between two nearby theorems.</p>