Karl Theodor Wilhelm Weierstrass (German: Weierstraß [ˈvaɪɐʃtʁaːs]; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis". Despite leaving university without a degree, he studied mathematics and trained as a school teacher, eventually teaching mathematics, physics, botany and gymnastics. He later received an honorary doctorate and became professor of mathematics in Berlin. Among many other contributions, Weierstrass formalized the definition of the continuity of a function, proved the intermediate value theorem and the Bolzano–Weierstrass theorem, and used the latter to study the properties of continuous functions on closed bounded intervals. (Wikipedia).
Wer bestimmt den Wert? – Köln – #wonachsuchstdu
So mancher Bordeaux kostet ein Vermögen – der Wein allein kann‘s nicht sein. Wissenschaftlerinnen und Wissenschaftler am Kölner Max-Planck-Institut für Gesellschaftsforschung untersuchen, was den Wert von Gütern eigentlich ausmacht. Dieser definiert sich nicht nur über objektive Eigenschaf
From playlist Max-Planck-Deutschlandreise – #wonachsuchstdu
Leibniz-Preise für Bonner Forscher: Peter Scholze und Frank Bradke
Prof. Dr. Peter Scholze vom Hausdorff Center for Mathematics, einem Exzellenzcluster der Universität Bonn, und Prof. Dr. Frank Bradke, der am Deutschen Zentrum für Neurodegenerative Erkrankungen (DZNE) arbeitet und Professor für Neurowissenschaften an der Universität Bonn ist, erhalten für
From playlist Peter Scholze
Proving Bolzano-Weierstrass with Nested Interval Property | Real Analysis
We prove the Bolzano Weierstrass theorem using the Nested Interval Property. The Bolzano-Weierstrass theorem states every bounded sequence has a convergent subsequence. We will construct a subsequence by bounding our sequence between M and -M, then creating an infinite sequence of nested i
From playlist Real Analysis
Dear English People... THIS is how you pronounce German Mathematician's Names ( and Physicists )
Don't forget to share the video and to activate the bell button! =) Your most favourite Parent is backat it again with a brand new memestorm :v Enjoy the ride! I hope you can learn something from this video and that it helps you pronounce the names of bois like Papa Euler, Daddy Riemann a
From playlist Misc
Remarkable lives and legacy of Sofia Kovalevskaya and Emmy Noether by Leon Takhtajan
10 January 2017, 16:00 to 17:00 VENUE: Chandrasekhar Auditorium, ICTS, Bengaluru Sofia Vasilyevna Kovalevskaya (1850-1891), was the greatest woman mathematician of the XIXth century. She got her PhD at University of Göttingen, Germany (1874) under Karl Weierstrass and made original cont
From playlist Public Lectures
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
Wissenschaftsfreiheit – Prof. Ulrich Becker – 70 Jahre Grundgesetz
Prof. Dr. Ulrich Becker, Direktor am Max-Planck-Institut für Sozialrecht und Sozialpolitik, erläuterte im Forum „70 Jahre Grundgesetz: Wissenschaftsfreiheit in Gefahr?“ die Regelung der Wissenschaftsfreiheit im Grundgesetz, historische und europäische Hintergründe, ging aber auch auf poten
From playlist Videos auf Deutsch
Analysis 1 - Convergent Subsequences: Oxford Mathematics 1st Year Student Lecture
This is the third lecture we're making available from Vicky Neale's Analysis 1 course for First Year Oxford Mathematics Students. Vicky writes: Does every sequence have a convergent subsequence? Definitely no, for example 1, 2, 3, 4, 5, 6, ... has no convergent subsequence. Does every b
From playlist Oxford Mathematics 1st Year Student Lectures
Math 101 Fall 2017 Bolzano Weierstrass for Sequences
Theorem: any accumulation point of a sequence is a subsequential limit. Theorem: (Bolzano-Weierstrass) Any bounded sequence of real numbers has a convergent subsequence.
From playlist Course 6: Introduction to Analysis (Fall 2017)
Real Analysis - Part 10 - Bolzano-Weierstrass theorem
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From playlist Real Analysis
Bolzano-Weierstrass Theorem (Direct Proof) In this video, I present a more direct proof of the Bolzano-Weierstrass Theorem, that does not use any facts about monotone subsequences, and instead uses the definition of a supremum. This proof is taken from Real Mathematical Analysis by Pugh,
From playlist Sequences
For the latest information, please visit: http://www.wolfram.com Speaker: Paul Abbott When the eigenvalues of an operator A can be computed and form a discrete set, the spectral zeta function of A reduces to a sum over eigenvalues, when the sum exists. Belloni and Robinett used the “quan
From playlist Wolfram Technology Conference 2014
Short Proof of Bolzano-Weierstrass Theorem for Sequences | Real Analysis
Every bounded sequence has a convergent subsequence. This is the Bolzano-Weierstrass theorem for sequences, and we prove it in today's real analysis video lesson. We'll use two previous results that make this proof short and easy. First is the monotone subsequence theorem, stating that eve
From playlist Real Analysis
Math 131 Fall 2018 113018 Pointwise Convergent Subsequences of Functions
Clarifying the last part of the construction of Weierstrass's continuous, nowhere-differentiable function. Recall: Bolzano-Weierstrass theorem. Types of boundedness for sequences of functions: pointwise boundedness, uniform boundedness. Showing that a sequence of uniformly bounded conti
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Der Nürnberger Prozess - Die Verteidigung (7/8) / Hauptkriegsverbrecher-Prozess
Generaloberst, Alfred Jodl, Luise Jodl, Hilfsverteidigerin, Prof. Dr. Franz Exner, Wehrmachtsführungsstab, Feldmarschall, Wilhelm Keitel, Wilhelm Bodewin Johann Gustav Keitel, Befehlshaber, Arbeitspflichtgesetz, Arthur Seyß-Inquart, Reichskommissar, Zwangsarbeit, Judenverfolgung, Deportati
From playlist Der Nürnberger Prozess - Die Verteidigung