---
created_at: '2015-11-14T04:23:45.000Z'
title: Differential Topology – Lecture 1 by John W. Milnor (1965) [video]
url: https://www.youtube.com/watch?v=1LwkljjLBns&list=PLelIK3uylPMFHC6Xny11XFXgwwtv9_PO3&index=1
author: espeed
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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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1. ▶  [ ![][6]

####  Differential Topology | Lecture 1 by John W. Milnor 

It's so blatant

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2. 2  [ ![][8]

####  Differential Topology | Lecture 2 by John W. Milnor 

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####  Differential Topology | Lecture 3 by John W. Milnor 

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#  Differential Topology | Lecture 1 by John W. Milnor 

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**Published on Mar 28, 2014**

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.  
  
Milnor was awarded the Abel Prize in 2011 for his work in topology, geometry and algebra.  
  
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]  
  
Source of the above information and lecture: [https://www.simonsfoundation.org/scie...][17]  
  
Also quite helpful:  
Differential Topology  
Lectures by John Milnor, Princeton University, Fall term 1958  
Notes by James Munkres - [http://www.maths.ed.ac.uk/~aar/papers...][18]
* ####  Category 

    * [Education][19]
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[19]: https://www.youtube.com/channel/UC3yA8nDwraeOfnYfBWun83g
[20]: https://www.youtube.com/watch?v=cp6eudDomRY "Differential Topology | Lecture 2 by John W. Milnor"
[21]: https://www.youtube.com/watch?v=cp6eudDomRY
[22]: https://www.youtube.com/watch?v=F9RsOPZuh70 "Is the Abstract Mathematics of Topology Applicable to the Real World?"
[23]: https://www.youtube.com/watch?v=F9RsOPZuh70
[24]: https://www.youtube.com/watch?v=7G4SqIboeig "Lecture 1: Topology (International Winter School on Gravity and Light 2015)"
[25]: https://www.youtube.com/watch?v=7G4SqIboeig
[26]: https://www.youtube.com/watch?v=pp06oGD4m00 "Terry Tao, Ph.D. Small and Large Gaps Between the Primes"
[27]: https://www.youtube.com/watch?v=pp06oGD4m00
[28]: https://www.youtube.com/watch?v=u5DLpAqX4YA "What is a Manifold? - Mikhail Gromov"
[29]: https://www.youtube.com/watch?v=u5DLpAqX4YA
[30]: https://www.youtube.com/watch?v=PtsrAw1LR3E "Terence Tao: Structure and Randomness in the Prime Numbers, UCLA"
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[33]: https://www.youtube.com/watch?v=4GhbMhQLQ_g
[34]: https://www.youtube.com/watch?v=kQaUCDFvbjA "John Milnor: Spheres"
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[52]: https://www.youtube.com/watch?v=6xgtMQ7WSzQ "MathHistory16: Differential Geometry"
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[54]: https://www.youtube.com/watch?v=LYNOGk3ZjFM "Mathematical Physics 01 - Carl Bender"
[55]: https://www.youtube.com/watch?v=LYNOGk3ZjFM
[56]: https://www.youtube.com/watch?v=oMpCOJbaoaY "ICM2014 VideoSeries LC13: John Milnor on Aug15Fri"
[57]: https://www.youtube.com/watch?v=oMpCOJbaoaY
[58]: https://www.youtube.com/watch?v=dW8Cy6WrO94 "MathHistory1a: Pythagoras' theorem"
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