Intro to Cauchy Sequences and Cauchy Criterion | Real Analysis
What are Cauchy sequences? We introduce the Cauchy criterion for sequences and discuss its importance. A sequence is Cauchy if and only if it converges. So Cauchy sequences are another way of characterizing convergence without involving the limit. A sequence being Cauchy roughly means that
From playlist Real Analysis
Cauchy Sequence In this video, I define one of the most important concepts in analysis: Cauchy sequences. Those are sequences which "crowd" together, without necessarily going to a limit. Later, we'll see what implications they have in analysis. Check out my Sequences Playlist: https://w
From playlist Sequences
Proof that the Sequence {1/n} is a Cauchy Sequence
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof that the Sequence {1/n} is a Cauchy Sequence
From playlist Cauchy Sequences
If A Sequence is Cauchy in Space it's Component Sequences are Cauchy Proof
If A Sequence is Cauchy in Space it's Component Sequences are Cauchy Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Cauchy Sequences
C39 A Cauchy Euler equation that is nonhomogeneous
A look at what to do with a Cauchy Euler equation that is non-homogeneous.
From playlist Differential Equations
Real numbers as Cauchy sequences don't work! | Real numbers and limits Math Foundations 114
This longish video lays out the various reasons why Cauchy sequences---as a basis for the theory of real numbers---don't work. Necessary viewing for all maths students! We really need to start addressing the logical weaknesses, rather than pretending that they are not there! Video Conten
From playlist Math Foundations
Proof: Sequence (1/n) is a Cauchy Sequence | Real Analysis Exercises
We prove the sequence {1/n} is Cauchy using the definition of a Cauchy sequence! Since (1/n) converges to 0, it shouldn't be surprising that the terms of (1/n) get arbitrarily close together, and as we have proven (or will prove, depending where you're at), convergence and Cauchy-ness are
From playlist Real Analysis Exercises
Proof that Cayley table row and column entries are unique and complete
In this video I show a proof of why all the row and column entries in a Cayley table are unique and why all of the elements in the group appear in each row and column. This proof goes a long way towards proving Cayley's theorem.
From playlist Abstract algebra
Lec 3 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis
Lecture 3: Lagrangian continuum mechanics variables for analysis Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Nonlinear Finite Element Analysis
Mod-01 Lec-21 Vector and Matrix Norms
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
What does it mean to take a complex derivative? (visually explained)
The complex derivative, from differentials to the Cauchy-Riemann Equations Support me on Patreon! https://patreon.com/vcubingx Sign up for Brilliant (sponsored link)! https://brilliant.org/vcubingx The source code for the animations can be found here: https://github.com/vivek3141/videos
From playlist Analysis
Mod-01 Lec-06 Introduction to Inner Product Spaces
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Graph norms and Erdos-Simonovits-Sidorenko's conjecture - Hamed Hatami
Conference on Graphs and Analysis Hamed Hatami June 8, 2012 More videos on http://video.ias.edu
From playlist Mathematics
Complex Analysis - Part 6 - Cauchy-Riemann Equations
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From playlist Complex Analysis
Lec 16 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis
Lecture 16: Elastic Constitutive Relations in U. L. Formulation Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Nonlinear Finite Element Analysis
11. Pseudorandom graphs I: quasirandomness
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Prof. Zhao discusses a classic result of Chung, Graham, a
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Completeness In this video, I define the notion of a complete metric space and show that the real numbers are complete. This is a nice application of Cauchy sequences and has deep consequences in topology and analysis Cauchy sequences: https://youtu.be/ltdjB0XG0lc Check out my Sequences
From playlist Sequences
Lec 5 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis
Lecture 5: Updated Lagrangian formulation - incremental analysis Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Nonlinear Finite Element Analysis
I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.
From playlist Differential Equations