Good textbooks on Non-Euclidean Geometry?
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I'm currently taking a class called Foundations of Geometry. We started with the stereographic projection and carried onward through fractional linear transformations, and now we are working with the Poincaré Disk Model. We've been finding things like non-Euclidean lines, circles with their non-Euclidean centers and non-Euclidean distances, delving into hyperbolic trigonometry. We don't use a textbook though, the professor just wrote up his own notes, and while good, they're restricted to just our 10 quarter class, and we're just studying one of the non-Euclidean geometries. So I was wondering if anyone had suggestions on some books that may cover more of the hyperbolic geometry or perhaps some elliptic, or any others in general. Thanks! =D
geometry
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up vote
8
down vote
favorite
I'm currently taking a class called Foundations of Geometry. We started with the stereographic projection and carried onward through fractional linear transformations, and now we are working with the Poincaré Disk Model. We've been finding things like non-Euclidean lines, circles with their non-Euclidean centers and non-Euclidean distances, delving into hyperbolic trigonometry. We don't use a textbook though, the professor just wrote up his own notes, and while good, they're restricted to just our 10 quarter class, and we're just studying one of the non-Euclidean geometries. So I was wondering if anyone had suggestions on some books that may cover more of the hyperbolic geometry or perhaps some elliptic, or any others in general. Thanks! =D
geometry
1
This must be a duplicate, and the most common answer must be Marvin Greenberg's book.
– zyx
May 7 '13 at 20:42
Here are some: math.stackexchange.com/search?q=marvin
– zyx
May 7 '13 at 20:44
1
Thanks! Sorry, I never really went on here before I made an account last month, I'll learn to use the search function next time
– user70551
May 7 '13 at 21:40
The search was based on knowing the answer already, but the Related links to the right of the question are often useful.
– zyx
May 8 '13 at 0:39
add a comment |
up vote
8
down vote
favorite
up vote
8
down vote
favorite
I'm currently taking a class called Foundations of Geometry. We started with the stereographic projection and carried onward through fractional linear transformations, and now we are working with the Poincaré Disk Model. We've been finding things like non-Euclidean lines, circles with their non-Euclidean centers and non-Euclidean distances, delving into hyperbolic trigonometry. We don't use a textbook though, the professor just wrote up his own notes, and while good, they're restricted to just our 10 quarter class, and we're just studying one of the non-Euclidean geometries. So I was wondering if anyone had suggestions on some books that may cover more of the hyperbolic geometry or perhaps some elliptic, or any others in general. Thanks! =D
geometry
I'm currently taking a class called Foundations of Geometry. We started with the stereographic projection and carried onward through fractional linear transformations, and now we are working with the Poincaré Disk Model. We've been finding things like non-Euclidean lines, circles with their non-Euclidean centers and non-Euclidean distances, delving into hyperbolic trigonometry. We don't use a textbook though, the professor just wrote up his own notes, and while good, they're restricted to just our 10 quarter class, and we're just studying one of the non-Euclidean geometries. So I was wondering if anyone had suggestions on some books that may cover more of the hyperbolic geometry or perhaps some elliptic, or any others in general. Thanks! =D
geometry
geometry
asked May 7 '13 at 20:39
user70551
1
This must be a duplicate, and the most common answer must be Marvin Greenberg's book.
– zyx
May 7 '13 at 20:42
Here are some: math.stackexchange.com/search?q=marvin
– zyx
May 7 '13 at 20:44
1
Thanks! Sorry, I never really went on here before I made an account last month, I'll learn to use the search function next time
– user70551
May 7 '13 at 21:40
The search was based on knowing the answer already, but the Related links to the right of the question are often useful.
– zyx
May 8 '13 at 0:39
add a comment |
1
This must be a duplicate, and the most common answer must be Marvin Greenberg's book.
– zyx
May 7 '13 at 20:42
Here are some: math.stackexchange.com/search?q=marvin
– zyx
May 7 '13 at 20:44
1
Thanks! Sorry, I never really went on here before I made an account last month, I'll learn to use the search function next time
– user70551
May 7 '13 at 21:40
The search was based on knowing the answer already, but the Related links to the right of the question are often useful.
– zyx
May 8 '13 at 0:39
1
1
This must be a duplicate, and the most common answer must be Marvin Greenberg's book.
– zyx
May 7 '13 at 20:42
This must be a duplicate, and the most common answer must be Marvin Greenberg's book.
– zyx
May 7 '13 at 20:42
Here are some: math.stackexchange.com/search?q=marvin
– zyx
May 7 '13 at 20:44
Here are some: math.stackexchange.com/search?q=marvin
– zyx
May 7 '13 at 20:44
1
1
Thanks! Sorry, I never really went on here before I made an account last month, I'll learn to use the search function next time
– user70551
May 7 '13 at 21:40
Thanks! Sorry, I never really went on here before I made an account last month, I'll learn to use the search function next time
– user70551
May 7 '13 at 21:40
The search was based on knowing the answer already, but the Related links to the right of the question are often useful.
– zyx
May 8 '13 at 0:39
The search was based on knowing the answer already, but the Related links to the right of the question are often useful.
– zyx
May 8 '13 at 0:39
add a comment |
1 Answer
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I study geometry with "Geometria" book by Prasolov,Tikhomirov. Maby you will find it in English..
Also wery good book is "Geometry" by M. Berger.
answered Apr 23 at 8:19
Taraas
164
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
I study geometry with "Geometria" book by Prasolov,Tikhomirov. Maby you will find it in English..
Also wery good book is "Geometry" by M. Berger.
answered Apr 23 at 8:19
Taraas
164
add a comment |
up vote
0
down vote
I study geometry with "Geometria" book by Prasolov,Tikhomirov. Maby you will find it in English..
Also wery good book is "Geometry" by M. Berger.
answered Apr 23 at 8:19
Taraas
164
add a comment |
up vote
0
down vote
up vote
0
down vote
I study geometry with "Geometria" book by Prasolov,Tikhomirov. Maby you will find it in English..
Also wery good book is "Geometry" by M. Berger.
answered Apr 23 at 8:19
Taraas
164
I study geometry with "Geometria" book by Prasolov,Tikhomirov. Maby you will find it in English..
Also wery good book is "Geometry" by M. Berger.
answered Apr 23 at 8:19
Taraas
164
answered Apr 23 at 8:19
Taraas
164
answered Apr 23 at 8:19
Taraas
164
answered Apr 23 at 8:19
Taraas
164
164
add a comment |
add a comment |
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This must be a duplicate, and the most common answer must be Marvin Greenberg's book.
– zyx
May 7 '13 at 20:42
Here are some: math.stackexchange.com/search?q=marvin
– zyx
May 7 '13 at 20:44
1
Thanks! Sorry, I never really went on here before I made an account last month, I'll learn to use the search function next time
– user70551
May 7 '13 at 21:40
The search was based on knowing the answer already, but the Related links to the right of the question are often useful.
– zyx
May 8 '13 at 0:39