tag:blogger.com,1999:blog-37706654.post4082275734254991734..comments2019-01-18T15:35:25.288+08:00Comments on Life of a university student: Derivation of the most beautiful identityEauhttp://www.blogger.com/profile/05575524924882034376noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-37706654.post-70595202695307596022007-03-01T01:57:00.000+08:002007-03-01T01:57:00.000+08:00You can also derive this relation through the tayl...You can also derive this relation through the taylor polynomial of e^x!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-37706654.post-27995611642611320312007-03-01T01:31:00.000+08:002007-03-01T01:31:00.000+08:00Ah you can also derive Euler's identity from the t...Ah you can also derive Euler's identity from the taylor polynomial for e^x<BR/><BR/>e ^ (x+iy) = e^x + e^(iy)<BR/>= e ^(x) ( 1 + iy + (iy)^2/2 + (iy)^3/3! ......)<BR/><BR/>then using sinx and cosx taylor polynomials , the above expression simplifies to cos y + isin y!<BR/><BR/>A cambridge acceptee looking to fulfill a 39 IB offer as well =)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-37706654.post-63628092307294142692007-02-23T12:58:00.000+08:002007-02-23T12:58:00.000+08:00That was a very nice derivation for Euler's equati...That was a very nice derivation for Euler's equation.<BR/><BR/>Hope to see you all in October!!<BR/><BR/>Christian (Denmark/Sweden/Mexico)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-37706654.post-28325531788495111952007-02-21T22:46:00.000+08:002007-02-21T22:46:00.000+08:00It is quite scary how excited my maths teacher was...It is quite scary how excited my maths teacher was when he showed us this!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-37706654.post-18542756868217384662007-02-20T11:50:00.000+08:002007-02-20T11:50:00.000+08:00Well, it wasn't "immediately obvious", but I actua...Well, it wasn't "immediately obvious", but I actually struggle with the IB Maths HL syllabus, so I don't really seek to become a 'first-class mathematician'. However, I did understand it and found it real nice. I'd always used it direct from my formula booklet without the slightest idea of where it came from.<BR/><BR/>Gosh, I hope not everybody at Oxford is as good at maths as you, or I'll be in trouble :P<BR/><BR/>A fellow Oxford acceptee seeking to fulfill a (nice) 39 IB offer for Economics and Management at Merton.<BR/><BR/>Angel (from Mexico City)Angel Sarmientohttps://www.blogger.com/profile/02610652840879575354noreply@blogger.com