hi,I am looking a good book on differential geometry for beginner (levels: Msc in Maths) .

QuoteOriginally posted by: pi314hi,I am looking a good book on differential geometry for beginner (levels: Msc in Maths) .This is a very good book as a precursor to more advanced topics.">DG

thks very much Cuchulainn !

In advanced mathematics, I would definitely recommend that you never touch a book written after 1980 (junk math seeps in). I like Differential Geometry by Guggenheimer, 1963.

QuoteOriginally posted by: NIn advanced mathematics, I would definitely recommend that you never touch a book written after 1980 (junk math seeps in). I like Differential Geometry by Guggenheimer, 1963.Lipschutz was wriiten in 1969. So, good.

Junk math? I own and like schutz or frankel's different tomes on geometrical physics, both more ..er.. 'applied' than mathematicians might care for...

QuoteOriginally posted by: NIn advanced mathematics, I like Differential Geometry by Guggenheimer, 1963.Yes, this is very good but (much) more advanced than Lipschutz.

QuoteOriginally posted by: CuchulainnQuoteOriginally posted by: NIn advanced mathematics, I like Differential Geometry by Guggenheimer, 1963.Yes, this is very good but (much) more advanced than Lipschutz.Cuch, this is a senior year intro. Guggenheimer was an excellent prof.Then I got into nonlinear PDEs arising from gauge field theory.

QuoteOriginally posted by: zetaJunk math? I own and like schutz or frankel's different tomes on geometrical physics, both more ..er.. 'applied' than mathematicians might care for...z,I hate to say it but, that stuff really is 'junk math'.N

that's reminds me of somebody else arguing that contemporary numerical analysis does not care about methodology, practicality and efficiency and that you should therefore read books pre-1980 preferably written in the CCCP. Pure BSof course, but let's not argue about religion.here is my cheap take, the only readable classic book in DE is the book by Struik, Dover. Guggenheimer is a piece of crap, so it Kreyszig. For a more recent introduction try do Carmo. I second that the books by Schutz and Frankel are very good, mostly so for physicists. In particular Schutz is very concise. all that goes from the perspective of a physicist/applied mathematician. QuoteOriginally posted by: NIn advanced mathematics, I would definitely recommend that you never touch a book written after 1980 (junk math seeps in). I like Differential Geometry by Guggenheimer, 1963.

Quotethat's reminds me of somebody else arguing that contemporary numerical analysis does not care about methodology, practicality and efficiency and that you should therefore read books pre-1980 preferably written in the CCCP.I wonder who you would be referring to It certainly has struck a chord with you If I can remember you already have made your point on this issue.Post a proposal and we can talk about it...

QuoteOriginally posted by: unkpaththat's reminds me of somebody else arguing that contemporary numerical analysis does not care about methodology, practicality and efficiency and that you should therefore read books pre-1980 preferably written in the CCCP. Pure BSof course, but let's not argue about religion.here is my cheap take, the only readable classic book in DE is the book by Struik, Dover. Guggenheimer is a piece of crap, so it Kreyszig. For a more recent introduction try do Carmo. I second that the books by Schutz and Frankel are very good, mostly so for physicists. In particular Schutz is very concise. all that goes from the perspective of a physicist/applied mathematician. QuoteOriginally posted by: NIn advanced mathematics, I would definitely recommend that you never touch a book written after 1980 (junk math seeps in). I like Differential Geometry by Guggenheimer, 1963.I agree that Struik is an excellent elementary introduction.The problem with contemporary analysis is that it is too often incorrect and becomes the basis for 'junk math'.