@madier1000 You might like to know that in my WildTrig series there is a 8-10 part segment on projective geometry, if you are particularly interested in that topic.
Hello Professor Wildberger. If my understanding is good, Euclidean, elliptic and hyperbolic geometries are all subgeometries of projective geometry. I've also read somewhere that those same geometries are all subgeometries of Mobius geometry. Are projective geometry and Mobius geometry also somehow related? Thanks.
@EmanT777 Yes projective geometry is indeed a unifying framework for other geometries. This is not properly appreciated these days, one of the reasons students often miss out on this important geometry. Projective geometry and Mobius geometry are also closely related. I will discuss such topics in my Universal Hyperbolic Geometry series.
Thank you very much for posting these online, Professor! I'm watching them all and I have to say this particular lecture simply blew my mind. I wish I had been introduced to these concepts earlier.
@njwildberger Thanks. I have an undergraduate degree and a post graduate degree in Engineering and as a result have done a lot of maths - and I did not know where any of it came from. These lectures have put a foundation under everything and helped me to reframe a lot of things. Thanks for posting them - they are excellent.
In fact, I'm thinking of having a mid-life crisis in style by going back to Uni to do a PhD in Pure Mathematics!
If you have a lot of maths ability, you might consider that. A warning however: in many maths departments, doing a PhD is not so much about learning a lot of interesting mathematics in a wide area, but rather learning a lot of less interesting mathematics in a narrow area. This is an unfortunate consequence of socio-economic pressures in the system. There are advantages in being an amateur!
@njwildberger LOL Thanks for the advice. I could always do what my peers do for the mid-life crisis and buy a over powerful motor bike, have an affair and then go off the edge of a cliff at high speed! :)
The girl that walks in at 9:02-9:06 is pretty cute.
QuantumMaths 2 weeks ago in playlist MathHistory: A course in the History of Mathematics
Epic! This video should be the first ingredients for persons like me, who have never come across projective planes before. Nice work!
water0heaven 1 month ago in playlist MathHistory: A course in the History of Mathematics
The alien metaphor is so great, it makes me very happy! Thank you.
IronHuge 1 month ago
I enjoyed this lecture very much and look forward to the whole serie.
madier1000 2 months ago
@madier1000 You might like to know that in my WildTrig series there is a 8-10 part segment on projective geometry, if you are particularly interested in that topic.
njwildberger 2 months ago
Hi,would you like to give some comment about the relationship between particle-wave duality in physics and the line-point duality.haha
mathofphys 5 months ago in playlist MATH HISTORY
Hello Professor Wildberger. If my understanding is good, Euclidean, elliptic and hyperbolic geometries are all subgeometries of projective geometry. I've also read somewhere that those same geometries are all subgeometries of Mobius geometry. Are projective geometry and Mobius geometry also somehow related? Thanks.
EmanT777 7 months ago
@EmanT777 Yes projective geometry is indeed a unifying framework for other geometries. This is not properly appreciated these days, one of the reasons students often miss out on this important geometry. Projective geometry and Mobius geometry are also closely related. I will discuss such topics in my Universal Hyperbolic Geometry series.
njwildberger 7 months ago
@njwildberger Thanks.
EmanT777 7 months ago
Thank you very much for posting these online, Professor! I'm watching them all and I have to say this particular lecture simply blew my mind. I wish I had been introduced to these concepts earlier.
d3modawid 8 months ago
How many lectures are/will be in this series?
172Break 9 months ago
Hi 172Break This year there will be 12. But next year I hope to add some more.
njwildberger 9 months ago
@njwildberger Thanks. I have an undergraduate degree and a post graduate degree in Engineering and as a result have done a lot of maths - and I did not know where any of it came from. These lectures have put a foundation under everything and helped me to reframe a lot of things. Thanks for posting them - they are excellent.
In fact, I'm thinking of having a mid-life crisis in style by going back to Uni to do a PhD in Pure Mathematics!
172Break 9 months ago
Hi 172Break
If you have a lot of maths ability, you might consider that. A warning however: in many maths departments, doing a PhD is not so much about learning a lot of interesting mathematics in a wide area, but rather learning a lot of less interesting mathematics in a narrow area. This is an unfortunate consequence of socio-economic pressures in the system. There are advantages in being an amateur!
njwildberger 9 months ago
@njwildberger LOL Thanks for the advice. I could always do what my peers do for the mid-life crisis and buy a over powerful motor bike, have an affair and then go off the edge of a cliff at high speed! :)
172Break 8 seconds ago
172Break 9 months ago
Excellent, Wildberger. At 45', it might be slightly better to assert P = R union, not R plus, infinity.
peterhi503 9 months ago
Hi peterhi503 Perhaps, but I am not a big fan of `infinite sets' so I try to steer away from the notation associated with that topic.
njwildberger 9 months ago