soft question: comparison of differential geometry textbooks
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So I really want to do well in my differential geometry course next semester, the professor is the one that I want to do research with eventually.
Furthermore, santa is bringing me Do Carmo's "differential geometry of curves and surfaces" for xmas, but since I know Jesus is real and Santa isn't i'm sure my mother will give it to me as soon as I get back home for the holidays. Will this text be adequate for a standard graduate level introduction to the topic? I hear that if you are really serious about differential geometry spivak is the only way to go, am I correct in my thinking that that may be overkill for my purposes? I mean Spivak is broken up into five volumes, so yeah, seems like a bit much.
Thanks!
book-recommendation
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add a comment |
$begingroup$
So I really want to do well in my differential geometry course next semester, the professor is the one that I want to do research with eventually.
Furthermore, santa is bringing me Do Carmo's "differential geometry of curves and surfaces" for xmas, but since I know Jesus is real and Santa isn't i'm sure my mother will give it to me as soon as I get back home for the holidays. Will this text be adequate for a standard graduate level introduction to the topic? I hear that if you are really serious about differential geometry spivak is the only way to go, am I correct in my thinking that that may be overkill for my purposes? I mean Spivak is broken up into five volumes, so yeah, seems like a bit much.
Thanks!
book-recommendation
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$begingroup$
do carmo is good for a basic/undergraduate introduction. im not really sure what "graduate level introduction" means. you should know diff geo before grad school...
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– mathworker21
Dec 15 '18 at 23:43
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The drek in your question about your beliefs in Jesus and Santa is deeply irritating. Please let's stick to mathematical reality on MSE.
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– Rob Arthan
Dec 16 '18 at 0:00
add a comment |
$begingroup$
So I really want to do well in my differential geometry course next semester, the professor is the one that I want to do research with eventually.
Furthermore, santa is bringing me Do Carmo's "differential geometry of curves and surfaces" for xmas, but since I know Jesus is real and Santa isn't i'm sure my mother will give it to me as soon as I get back home for the holidays. Will this text be adequate for a standard graduate level introduction to the topic? I hear that if you are really serious about differential geometry spivak is the only way to go, am I correct in my thinking that that may be overkill for my purposes? I mean Spivak is broken up into five volumes, so yeah, seems like a bit much.
Thanks!
book-recommendation
$endgroup$
So I really want to do well in my differential geometry course next semester, the professor is the one that I want to do research with eventually.
Furthermore, santa is bringing me Do Carmo's "differential geometry of curves and surfaces" for xmas, but since I know Jesus is real and Santa isn't i'm sure my mother will give it to me as soon as I get back home for the holidays. Will this text be adequate for a standard graduate level introduction to the topic? I hear that if you are really serious about differential geometry spivak is the only way to go, am I correct in my thinking that that may be overkill for my purposes? I mean Spivak is broken up into five volumes, so yeah, seems like a bit much.
Thanks!
book-recommendation
book-recommendation
asked Dec 15 '18 at 23:40
Michael VaughanMichael Vaughan
795211
795211
$begingroup$
do carmo is good for a basic/undergraduate introduction. im not really sure what "graduate level introduction" means. you should know diff geo before grad school...
$endgroup$
– mathworker21
Dec 15 '18 at 23:43
$begingroup$
The drek in your question about your beliefs in Jesus and Santa is deeply irritating. Please let's stick to mathematical reality on MSE.
$endgroup$
– Rob Arthan
Dec 16 '18 at 0:00
add a comment |
$begingroup$
do carmo is good for a basic/undergraduate introduction. im not really sure what "graduate level introduction" means. you should know diff geo before grad school...
$endgroup$
– mathworker21
Dec 15 '18 at 23:43
$begingroup$
The drek in your question about your beliefs in Jesus and Santa is deeply irritating. Please let's stick to mathematical reality on MSE.
$endgroup$
– Rob Arthan
Dec 16 '18 at 0:00
$begingroup$
do carmo is good for a basic/undergraduate introduction. im not really sure what "graduate level introduction" means. you should know diff geo before grad school...
$endgroup$
– mathworker21
Dec 15 '18 at 23:43
$begingroup$
do carmo is good for a basic/undergraduate introduction. im not really sure what "graduate level introduction" means. you should know diff geo before grad school...
$endgroup$
– mathworker21
Dec 15 '18 at 23:43
$begingroup$
The drek in your question about your beliefs in Jesus and Santa is deeply irritating. Please let's stick to mathematical reality on MSE.
$endgroup$
– Rob Arthan
Dec 16 '18 at 0:00
$begingroup$
The drek in your question about your beliefs in Jesus and Santa is deeply irritating. Please let's stick to mathematical reality on MSE.
$endgroup$
– Rob Arthan
Dec 16 '18 at 0:00
add a comment |
1 Answer
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Forget Spivak .The best book for readability at the graduate level is by William M Boothby -An introduction to Differentiable Manifolds and Riemannian Geometry .
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1 Answer
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1 Answer
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$begingroup$
Forget Spivak .The best book for readability at the graduate level is by William M Boothby -An introduction to Differentiable Manifolds and Riemannian Geometry .
$endgroup$
add a comment |
$begingroup$
Forget Spivak .The best book for readability at the graduate level is by William M Boothby -An introduction to Differentiable Manifolds and Riemannian Geometry .
$endgroup$
add a comment |
$begingroup$
Forget Spivak .The best book for readability at the graduate level is by William M Boothby -An introduction to Differentiable Manifolds and Riemannian Geometry .
$endgroup$
Forget Spivak .The best book for readability at the graduate level is by William M Boothby -An introduction to Differentiable Manifolds and Riemannian Geometry .
answered Dec 16 '18 at 0:13
StuartMNStuartMN
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$begingroup$
do carmo is good for a basic/undergraduate introduction. im not really sure what "graduate level introduction" means. you should know diff geo before grad school...
$endgroup$
– mathworker21
Dec 15 '18 at 23:43
$begingroup$
The drek in your question about your beliefs in Jesus and Santa is deeply irritating. Please let's stick to mathematical reality on MSE.
$endgroup$
– Rob Arthan
Dec 16 '18 at 0:00