1.08 Brouwer's fixed point theorem
We use our newly-developed technology (fundamental group and induced homomorphisms) to prove Brouwer's fixed point theorem, which states that any ...
Jonathan Evans
Banach Spaces and Schauder Basic
Subject : Mathematics Course Name : Functional Analysis.
Ch 30 NIOS: Gyanamrit
MAST30026 Lecture 14: Banach fixed point theorem and Bellman equation
I proved the Banach fixed point theorem for contraction mappings on a complete metric space, and gave as an example of a problem solved by fixed point ...
Daniel Murfet
Doctorate program: Functional Analysis - Lecture 15: Hilbert spaces
Lecture 15: Hilbert spaces Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the book "Functional Analysis" by Peter ...
Instituto de Matemática Pura e Aplicada
Some 20+ year old problems about Banach spaces and operators on them – W. Johnson – ICM2018
Analysis and Operator Algebras Invited Lecture 8.17 Some 20+ year old problems about Banach spaces and operators on them William Johnson Abstract: In the ...
Rio ICM2018
Mod-01 Lec-11 Finite Dimensional Normed Spaces and Subspaces
Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in.
nptelhrd
Fixed points and stability: two dimensions
Shows how to determine the fixed points and their linear stability of two-dimensional nonlinear differential equation. Join me on Coursera: Matrix Algebra for ...
Jeffrey Chasnov
Lecture 9b: Functional Analysis - Normed spaces and Banach spaces
The second part of the ninth class in Dr Joel Feinstein's Functional Analysis module covers Normed spaces and Banach spaces. Further module materials are ...
University of Nottingham
MAE5790-2 One dimensional Systems
Linearization for 1-D systems. Existence and uniqueness of solutions. Bifurcations. Saddle-node bifurcation. Bifurcation diagrams. Reading: Strogatz, "Nonlinear ...
Cornell MAE
Riemannian manifolds, kernels and learning
I will talk about recent results from a number of people in the group on Riemannian manifolds in computer vision. In many Vision problems Riemannian ...
Microsoft Research
Mod-04 Lec-21 Existence using Fixed Point Theorem
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more ...
nptelhrd
Finite Dimensional Normed Spaces and Subspaces
Subject : Mathematics Course Name : Functional Analysis.
Ch 30 NIOS: Gyanamrit
Linear Algebra: on normed linear spaces, completeness, metrics, 5-7-18, part 1
James Cook
Functional Analysis Overview
In this video, I give an overview of functional analysis, also known as infinite-dimensional linear algebra. Functional analysis is a fascinating sub-field of math ...
Dr Peyam
Doctorate program: Functional Analysis - Lecture 3: Normed linear spaces: definition and basic...
Lecture 3: Normed linear spaces: definition and basic properties Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the ...
Instituto de Matemática Pura e Aplicada
Banach fixed point theorem & differential equations
A novel application of Banach's fixed point theorem to fractional differential equations of arbitrary order. The idea involves a new metric based on the ...
Dr Chris Tisdell
Part 1: Normed Spaces and Inner Product Spaces
Nam Nguyen
Lecture 27: Bounded linear operators in L_p
Measure Theory - Lecture 27: Bounded linear operators in L_p Teacher: Claudio Landim IMPA - Instituto de Matemática Pura e Aplicada © http://www.impa.br ...
Instituto de Matemática Pura e Aplicada
ODE existence and uniqueness theorem
In this video, I prove the famous Picard-Lindelöf theorem, which states that, if f is Lipschitz, then the ODE y' = f(y) with a given initial condition always has a ...
Dr Peyam
Mod-09 Lec-34 Lp - spaces
Measure and Integration by Prof. Inder K Rana ,Department of Mathematics, IIT Bombay. For more details on NPTEL visit http://nptel.ac.in.
nptelhrd
Doctorate program: Functional Analysis - Lecture 9: The Hahn-Banach theorem
Lecture 9: The Hahn-Banach theorem Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the book "Functional Analysis" ...
Instituto de Matemática Pura e Aplicada
Mod-01 Lec-20 Tutorial - II
Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in.
nptelhrd
Mod-04 Lec-01 Stability and Bifurcation of Fixed-point response 1
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in.
nptelhrd
Mini-Course: Regularization methods in Banach spaces - Class 02
Mini-Course: Regularization methods in Banach spaces - Class 02 Mini-Course: Bernd Hofmann (TU Chemnitz, Germany) Title: Regularization methods in ...
Instituto de Matemática Pura e Aplicada
Doctorate program: Functional Analysis - Lecture 27: Transpose of Bounded linear operators
Lecture 27: Transpose of Bounded linear operators Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the book ...
Instituto de Matemática Pura e Aplicada
Doctorate program: Functional Analysis - Lecture 6: Examples of normed linear spaces
Lecture 6: Examples of normed linear spaces Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the book "Functional ...
Instituto de Matemática Pura e Aplicada
The hardest problem on the hardest test
A difficult geometry puzzle with an elegant solution. Home page: https://www.3blue1brown.com/ Brought to you by Brilliant: https://brilliant.org/3b1b And by you: ...
3Blue1Brown
Mod-01 Lec-24 Representation of Functionals on a Hilbert Spaces
Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in.
nptelhrd
Doctorate program: Functional Analysis - Lecture 31: The closed graph theorem.
Lecture 31: The closed graph theorem. Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the book "Functional ...
Instituto de Matemática Pura e Aplicada
Solution to the Grandfather Paradox
What if you went back in time and killed your own grandfather? Would you still be born? Or would you have thus killed yourself? Thanks to Google ...
minutephysics
Doctorate program: Functional Analysis - Lecure 11: Geometric Hanh-Banach theorems
Lecure 11: Geometric Hanh-Banach theorems Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the book "Functional ...
Instituto de Matemática Pura e Aplicada
Doctorate program: Functional Analysis - Lecture 34: Eigenvalues of compact symmetric operators
Lecture 34: Eigenvalues of compact symmetric operators Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the book ...
Instituto de Matemática Pura e Aplicada
Lecture 30 - Commutative Banach Algebras, printed slides 1-19
Commutative Banach Algebras, printed slides 1-19. Further module materials are available for download from The University of Nottingham open courseware ...
University of Nottingham
Doctorate program: Functional Analysis - Lecture 7: In infinite dimensions the unit ball is not...
Lecture 7: In infinite dimensions the unit ball is not compact Claudio Landim Previous lectures: http://bit.ly/2Z3qzIM These lectures are mainly based on the book ...
Instituto de Matemática Pura e Aplicada
Partial Differential Equations - Giovanni Bellettini - Lecture 01
ICTP Mathematics
A Breakthrough in Higher Dimensional Spheres | Infinite Series | PBS Digital Studios
Viewers like you help make PBS (Thank you ) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi How do you stack ...
PBS Infinite Series
Mod-04 Lec-22 Baire Category Theorem
Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in.
nptelhrd
Mod-01 Lec-05 Existence uniqueness theorems
Nonlinear Dynamical Systems by Prof. Harish K. Pillai and Prof. Madhu N.Belur,Department of Electrical Engineering,IIT Bombay.For more details on NPTEL ...
nptelhrd
Mod-01 Lec-33 Baires Category & Uniform Boundedness Theorems
Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in.
nptelhrd
Martin Bridson: Fixed point theorems and rigidity
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 30.4.2015.
Hausdorff Center for Mathematics
The Future of Mathematics?
As a professor of pure mathematics, my job involves teaching, research, and outreach. Two years ago I got interested in formal methods, and I learned how to ...
Microsoft Research
Banach Fixed Point Theorem
Reinforcement Learning