Stefan Banach (Polish: [ˈstɛfan ˈbanax]; 30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the 20th century's most important and influential mathematicians. He was the founder of modern functional analysis, and an original member of the Lwów School of Mathematics. His major work was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of functional analysis. Born in Kraków to a family of Goral descent, Banach showed a keen interest in mathematics and engaged in solving mathematical problems during school recess. After completing his secondary education, he befriended Hugo Steinhaus, with whom he established the Polish Mathematical Society in 1919 and later published the scientific journal Studia Mathematica. In 1920, he received an assistantship at the Lwów Polytechnic, subsequently becoming a professor in 1922 and a member of the Polish Academy of Learning in 1924. Banach was also a co-founder of the Lwów School of Mathematics, a school of thought comprising some of the most renowned Polish mathematicians of the interwar period (1918–1939). Some of the notable mathematical concepts that bear Banach's name include Banach spaces, Banach algebras, Banach measures, the Banach–Tarski paradox, the Hahn–Banach theorem, the Banach–Steinhaus theorem, the Banach–Mazur game, the Banach–Alaoglu theorem, and the Banach fixed-point theorem. (Wikipedia).
Konstantin Mischaikow interviewed by Tomas Gedeon (October 26, 2022)
Konstantin Mischaikow interviewed by Tomas Gedeon (October 26, 2022) For more on the interview series, along with the advertisement posters, please see https://www.aatrn.net/interviews
From playlist AATRN Interviews
Improved contraction methods for discrete boundary value problems
This work features new mathematical research. It analyzes a two--point boundary value problem (BVP) involving a first--order difference equation, known as the ``discrete'' BVP. Some sufficient conditions are formulated under which the discrete BVP will possess a unique solution. The inno
From playlist Mathematical analysis and applications
Christina Sormani: A Course on Intrinsic Flat Convergence part 3
The lecture was held within the framework of the Hausdorff Trimester Program: Optimal Transportation and the Workshop: Winter School & Workshop: New developments in Optimal Transport, Geometry and Analysis
From playlist HIM Lectures 2015
Hajime Ishihara: The constructive Hahn Banach theorem, revisited
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: The Hahn-Banach theorem, named after the mathematicians Hans Hahn and Stefan Banach who proved it independently in the late 1920s, is a central tool in functional analys
From playlist Workshop: "Constructive Mathematics"
(PP 1.1) Measure theory: Why measure theory - The Banach-Tarski Paradox
A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (Section 1) if you're not interested in the rigorous underpinnings. If you choose to do this, you should start with "(PP 1.S) Measure
From playlist Probability Theory
Fixed Point Iteration System of Equations with Banach
Fixed Point Iteration Method to solve Systems of Nonlinear Equations with discussion of Banach Fixed Point Theorem, finding the Jacobian, convergence, and order. Example code on GitHub: http://github.com/osveliz/numerical-veliz Chapters: 00:00 Intro 00:25 Systems of Equations 00:33 Solvin
From playlist Solving Systems of Nonlinear Equations
Stefan Wenger - 21 September 2016
Wenger, Stefan "“Plateau’s problem in metric spaces and applications”"
From playlist A Mathematical Tribute to Ennio De Giorgi
Zahlen und Geometrie. Antrittsvorlesung Prof. Peter Scholze
Am dies academicus der Universität Bonn im lfd. Sommersemester 2017 hat Prof. Dr. Peter Scholze (geb. 1987, u. a. Leibniz-Preisträger) seine Antrittsvorlesung gehalten. Peter Scholze ist Hausdorff Chair am Exzellenzcluster Hausdorff Center for Mathematics der Universität Bonn. Weitere Inf
From playlist Peter Scholze
When do fractional differential equations have solutions bounded by the Mittag-Leffler function?
When do fractional differential equations have solutions bounded by the Mittag Leffler function? New research into this question! http://www.degruyter.com/view/j/fca.2015.18.issue-3/fca-2015-0039/fca-2015-0039.xml?format=INT Fract. Calc. Appl. Anal. 18, no. 3 (2015), 642-650. DOI: 10.15
From playlist Mathematical analysis and applications
Hans Feichtinger: Fourier Analysis via the Banach Gelfand Triple
The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In this MATLAB-based presentation the author will explain how one can understand and illustrate the foundations of Gabor analysis with the help of MATLAB. From the point of view
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
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 Mittag-Leffler function. The technique is applied to gain the existence and uniqueness of solutions to initial value problems. http://
From playlist Mathematical analysis and applications
Der Nürnberger Prozess - Die Verteidigung (6/8) / Hauptkriegsverbrecher-Prozess
assassination of hitler, Ermordung von Hitler, Robert H. Jackson, Hjalmar Schacht, Karl Dönitz, Planung und Durchführung von Angriffskriegen, Verbrechen gegen das Kriegsrecht, Reichskriegsmarine, U-Boot-Waffe, Großadmiral, Oberbefehlshaber der Kriegsmarine, Korvettenkapitän Otto Kranzbühle
From playlist Der Nürnberger Prozess - Die Verteidigung
Murat Erdemsel & Sigrid Van Tilbeurgh - Vals
From playlist Tango
Ingrid Daubechies: Wavelet bases: roots, surprises and applications
This lecture was held by Ingrid Daubechies at The University of Oslo, May 24, 2017 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Ingrid Daubechies is a Belgian physicist and mathematician. She is best known for her work with wavelets in imag
From playlist Abel Lectures