372 lines
13 KiB
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372 lines
13 KiB
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[Source](https://www.youtube.com/watch?v=1LwkljjLBns&list=PLelIK3uylPMFHC6Xny11XFXgwwtv9_PO3&index=1 "Permalink to Differential Topology | Lecture 1 by John W. Milnor - YouTube")
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# Differential Topology | Lecture 1 by John W. Milnor - YouTube
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### [Differential Topology | Lectures by John W. Milnor][4]
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* [It's so blatant][5]
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* 13 videos
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1. ▶ [ ![][6]
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#### Differential Topology | Lecture 1 by John W. Milnor
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It's so blatant
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2. 2 [ ![][8]
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#### Differential Topology | Lecture 2 by John W. Milnor
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It's so blatant
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][9]
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3. 3 [ ![][10]
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#### Differential Topology | Lecture 3 by John W. Milnor
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It's so blatant
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][11]
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[Find out why][12]Close
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# Differential Topology | Lecture 1 by John W. Milnor
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[ ![It's so blatant][2] ][13]
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[It's so blatant][5]
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* Transcript
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[ Add translations ][14]
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61,843 views
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## Transcript
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**Published on Mar 28, 2014**
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Soon after winning the Fields Medal in 1962, a young John Milnor gave these now-famous lectures and wrote his timeless Topology from the Differentiable Viewpoint -[http://www.mat.unimi.it/users/dedo/to...][15] , which has influenced generations of mathematicians. The lectures, filmed by the Mathematical Association of America (MAA), were unavailable for years but recently resurfaced. With Simons Foundation funding, the Mathematical Sciences Research Institute has produced these digital reproductions as a resource for the mathematics and science communities.
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Milnor was awarded the Abel Prize in 2011 for his work in topology, geometry and algebra.
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The sequel to these lectures, written several mathematical lives — and a Wolf and an Abel Prize later — is "Differential Topology Forty-six Years Later,"- [http://www.ams.org/notices/201106/rtx...][16]
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Source of the above information and lecture: [https://www.simonsfoundation.org/scie...][17]
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Also quite helpful:
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Differential Topology
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Lectures by John Milnor, Princeton University, Fall term 1958
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Notes by James Munkres - [http://www.maths.ed.ac.uk/~aar/papers...][18]
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* #### Category
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* [Education][19]
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* #### License
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* Standard YouTube License
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Show more Show less
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* [ Differential Topology | Lecture 2 by John W. Milnor \- Duration: 1:02:33. It's so blatant 10,246 views ][20]
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![][2][1:02:33][21]
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* [ Is the Abstract Mathematics of Topology Applicable to the Real World? \- Duration: 1:08:54. aoflex 21,099 views ][22]
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![][2][1:08:54][23]
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* [ Lecture 1: Topology (International Winter School on Gravity and Light 2015) \- Duration: 1:17:06. The WE-Heraeus International Winter School on Gravity and Light 144,758 views ][24]
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![][2][1:17:06][25]
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* [ Terry Tao, Ph.D. Small and Large Gaps Between the Primes \- Duration: 59:24. UCLA 809,568 views ][26]
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![][2][59:24][27]
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* [ What is a Manifold? - Mikhail Gromov \- Duration: 53:56. PoincareDuality 171,270 views ][28]
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![][2][53:56][29]
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* [ Terence Tao: Structure and Randomness in the Prime Numbers, UCLA \- Duration: 47:51. UCLA 476,294 views ][30]
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![][2][47:51][31]
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* [ Maryam Mirzakhani wins 2014 Fields medal - first woman to do so \- Duration: 2:51. tywebbOOOOO 200,916 views ][32]
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![][2][2:51][33]
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* [ John Milnor: Spheres \- Duration: 53:28. Stony Brook University 15,078 views ][34]
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![][2][53:28][35]
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* [ Problems in Topology, Post-Perelman - Stephen Smale \- Duration: 46:34. PoincareDuality 53,686 views ][36]
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![][2][46:34][37]
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* [ Kurt Godel: The World's Most Incredible Mind (Part 1 of 3) \- Duration: 15:00. globalbeehive 252,336 views ][38]
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![][2][15:00][39]
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* [ An Evening with Leonhard Euler \- Duration: 1:25:40. philoctetesctr 97,333 views ][40]
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![][2][1:25:40][41]
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* [ Math gold medalist talks about the art of math \- Duration: 3:00. Daily Herald 237,132 views ][42]
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![][2][3:00][43]
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* [ Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda \- Duration: 27:57. African Institute for Mathematical Sciences (South Africa) 161,251 views ][44]
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![][2][27:57][45]
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* [ The Abel Prize interview with Andrew Wiles \- Duration: 59:02. The Abel Prize 36,025 views ][46]
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![][2][59:02][47]
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* [ Part I: Complex Variables, Lec 1: The Complex Numbers \- Duration: 43:37. MIT OpenCourseWare 257,106 views ][48]
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![][2][43:37][49]
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* [ Lie Groups and Lie Algebras | Lecture 1 \- Duration: 1:12:02. LeonhardEuler1 47,447 views ][50]
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![][2][1:12:02][51]
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* [ MathHistory16: Differential Geometry \- Duration: 51:32. njwildberger 87,550 views ][52]
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![][2][51:32][53]
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* [ Mathematical Physics 01 - Carl Bender \- Duration: 1:19:24. 剿匪大業 348,041 views ][54]
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![][2][1:19:24][55]
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* [ ICM2014 VideoSeries LC13: John Milnor on Aug15Fri \- Duration: 1:13:15. Seoul ICM VOD 6,315 views ][56]
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![][2][1:13:15][57]
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* [ MathHistory1a: Pythagoras' theorem \- Duration: 48:55. njwildberger 185,513 views ][58]
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![][2][48:55][59]
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* Language: English
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* Location: United States
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[13]: https://www.youtube.com/user/itssoblatant
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[16]: https://www.youtube.com/redirect?redir_token=6BE8YXKwicW3_PhuwtfAAqKHPXp8MTUxOTQ3MzUyOEAxNTE5Mzg3MTI4&q=http%3A%2F%2Fwww.ams.org%2Fnotices%2F201106%2Frtx110600804p.pdf&event=video_description&v=1LwkljjLBns
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[17]: https://www.youtube.com/redirect?redir_token=6BE8YXKwicW3_PhuwtfAAqKHPXp8MTUxOTQ3MzUyOEAxNTE5Mzg3MTI4&q=https%3A%2F%2Fwww.simonsfoundation.org%2Fscience_lives_video%2Fprofessor-john-w-milnor%2F&event=video_description&v=1LwkljjLBns
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[18]: https://www.youtube.com/redirect?redir_token=6BE8YXKwicW3_PhuwtfAAqKHPXp8MTUxOTQ3MzUyOEAxNTE5Mzg3MTI4&q=http%3A%2F%2Fwww.maths.ed.ac.uk%2F%7Eaar%2Fpapers%2Fdifftop.pdf&event=video_description&v=1LwkljjLBns
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[19]: https://www.youtube.com/channel/UC3yA8nDwraeOfnYfBWun83g
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[20]: https://www.youtube.com/watch?v=cp6eudDomRY "Differential Topology | Lecture 2 by John W. Milnor"
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[21]: https://www.youtube.com/watch?v=cp6eudDomRY
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[22]: https://www.youtube.com/watch?v=F9RsOPZuh70 "Is the Abstract Mathematics of Topology Applicable to the Real World?"
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[23]: https://www.youtube.com/watch?v=F9RsOPZuh70
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[24]: https://www.youtube.com/watch?v=7G4SqIboeig "Lecture 1: Topology (International Winter School on Gravity and Light 2015)"
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[25]: https://www.youtube.com/watch?v=7G4SqIboeig
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[26]: https://www.youtube.com/watch?v=pp06oGD4m00 "Terry Tao, Ph.D. Small and Large Gaps Between the Primes"
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[27]: https://www.youtube.com/watch?v=pp06oGD4m00
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[28]: https://www.youtube.com/watch?v=u5DLpAqX4YA "What is a Manifold? - Mikhail Gromov"
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[29]: https://www.youtube.com/watch?v=u5DLpAqX4YA
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[30]: https://www.youtube.com/watch?v=PtsrAw1LR3E "Terence Tao: Structure and Randomness in the Prime Numbers, UCLA"
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[31]: https://www.youtube.com/watch?v=PtsrAw1LR3E
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[32]: https://www.youtube.com/watch?v=4GhbMhQLQ_g "Maryam Mirzakhani wins 2014 Fields medal - first woman to do so"
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[33]: https://www.youtube.com/watch?v=4GhbMhQLQ_g
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[34]: https://www.youtube.com/watch?v=kQaUCDFvbjA "John Milnor: Spheres"
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[35]: https://www.youtube.com/watch?v=kQaUCDFvbjA
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[36]: https://www.youtube.com/watch?v=KEFzul7s9-4 "Problems in Topology, Post-Perelman - Stephen Smale"
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[37]: https://www.youtube.com/watch?v=KEFzul7s9-4
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[38]: https://www.youtube.com/watch?v=i2KP1vWkQ6Y "Kurt Godel: The World's Most Incredible Mind (Part 1 of 3)"
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[39]: https://www.youtube.com/watch?v=i2KP1vWkQ6Y
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[40]: https://www.youtube.com/watch?v=h-DV26x6n_Q "An Evening with Leonhard Euler"
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[41]: https://www.youtube.com/watch?v=h-DV26x6n_Q
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[42]: https://www.youtube.com/watch?v=eNtJquRf-uk "Math gold medalist talks about the art of math"
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[43]: https://www.youtube.com/watch?v=eNtJquRf-uk
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[44]: https://www.youtube.com/watch?v=SXHHvoaSctc "Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda"
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[45]: https://www.youtube.com/watch?v=SXHHvoaSctc
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[46]: https://www.youtube.com/watch?v=cWKAzX5U85Q "The Abel Prize interview with Andrew Wiles"
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[47]: https://www.youtube.com/watch?v=cWKAzX5U85Q
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[48]: https://www.youtube.com/watch?v=BOx8LRyr8mU "Part I: Complex Variables, Lec 1: The Complex Numbers"
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[49]: https://www.youtube.com/watch?v=BOx8LRyr8mU
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[50]: https://www.youtube.com/watch?v=q1riFCCsUU4 "Lie Groups and Lie Algebras | Lecture 1"
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[51]: https://www.youtube.com/watch?v=q1riFCCsUU4
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[52]: https://www.youtube.com/watch?v=6xgtMQ7WSzQ "MathHistory16: Differential Geometry"
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[53]: https://www.youtube.com/watch?v=6xgtMQ7WSzQ
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[54]: https://www.youtube.com/watch?v=LYNOGk3ZjFM "Mathematical Physics 01 - Carl Bender"
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[55]: https://www.youtube.com/watch?v=LYNOGk3ZjFM
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[56]: https://www.youtube.com/watch?v=oMpCOJbaoaY "ICM2014 VideoSeries LC13: John Milnor on Aug15Fri"
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[57]: https://www.youtube.com/watch?v=oMpCOJbaoaY
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[58]: https://www.youtube.com/watch?v=dW8Cy6WrO94 "MathHistory1a: Pythagoras' theorem"
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