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. rmmc.asu.edu This presentation is a snapshot of my current mathematical research.
fractional differential equation Banach fixed point theorem contraction complete metric space Mittag-Leffler existence uniqueness solution mathematics research educational university college Chris Tisdell UNSW research for undergraduates
(PP 1.1) Measure theory: Why measure theory - The Banach-Tarski Paradox
A playlist of the Probability Primer series is available here: www.youtube.com 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 theory: Summary" at: www.youtube.com (0:00) Intro to Probability Primer series. (1:20) Why do we need measure theory? We illustrate the need using the remarkable Banach-Tarski Paradox.
Mark Schultz vs Ed Banach 1982 NCAA Wrestling Finals
Mark Schultz(Univ. of Oklahoma---1981 NCAA Champ at 167 lbs.) vs. Ed Banach(Univ. of Iowa---1980 and 1981 NCAA Champ at 177 lbs.) wrestle in the 1982 NCAA Finals at 177 lbs. This match is considered one of the greatest wrestling matches in NCAA Finals history. Each wrestler went on to win 3 individual NCAA Wrestling Championships, and Gold Medals at the 1984 Olympics.
Lecture 10: Functional Analysis - Normed spaces and Banach spaces
The tenthclass in Dr Joel Feinstein's Functional Analysis module covers Normed spaces and Banach spaces. Further module materials are available for download from The University of Nottingham open courseware site: unow.nottingham.ac.uk and on iTunes U: itunesu.nottingham.ac.uk Dr Feinstein's blog may be viewed at: explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
Functional analysis Normed spaces Banach spaces Bounded linear operators dual spaces commutative Banach algebras complete metric spaces open mapping theorem closed graph theorem uniform boundedness metric spaces
Lecture 9b: Functional Analysis - Normed spaces and Banach spaces
The second part of the ninthclass in Dr Joel Feinstein's Functional Analysis module covers Normed spaces and Banach spaces. Further module materials are available for download from The University of Nottingham open courseware site: unow.nottingham.ac.uk and on iTunes U: itunesu.nottingham.ac.uk Dr Feinstein's blog may be viewed at: explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
Functional analysis Normed spaces Banach spaces Bounded linear operators dual spaces commutative Banach algebras complete metric spaces open mapping theorem closed graph theorem uniform boundedness metric spaces
The weak star topology and the Banach-Alaoglu theorem
This is a lecture from Dr Feinstein's 4th-year module G14FUN Functional Analysis. See also Dr Feinstein's blog at explainingmaths.wordpress.com and, in particular, the Functional Analysis screencasts blog page at wp.me In this screencast, Dr Feinstein introduces the weak topology on a normed space and the weak star topology on the dual space. He then proves the Banach-Alaoglu theorem, that the closed unit ball of the dual space is weak star compact. This material is suitable for those with a basic knowledge of normed spaces and their duals, and of infinite products of topological spaces, including Tychonoff's theorem on arbitrary products of compact topological spaces.
Mathematics Math Maths Banach-Alaoglu theorem topology compact dual space unit ball weak topology weak-* topology mathematical analysis functional analysis
Endomorphisms of commutative semiprime Banach algebras
Dr Joel Feinstein's talk at Banach Algebras 2011, Waterloo, Ontario, Canada. He discussed joint work with Herb Kamowitz on compact, power compact, quasicompact and Riesz endomorphisms of commutative Banach algebras, along with some background, examples, and questions. Dr Feinstein's blog may be viewed at: explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
maths mathematics level 4 level5 postgraduate masters math functional analysis Banach algebras compact power compact quasicompact Riesz endomorphism
Lecture 13a: Functional Analysis - Normed spaces and Banach spaces
The first part of the thirteenthclass in Dr Joel Feinstein's Functional Analysis module completes the discussion of Normed spaces and Banach spaces. Further module materials are available for download from The University of Nottingham open courseware site: unow.nottingham.ac.uk and on iTunes U: itunesu.nottingham.ac.uk Dr Feinstein's blog may be viewed at: explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
Functional analysis Normed spaces Banach spaces Bounded linear operators dual spaces commutative Banach algebras complete metric spaces open mapping theorem closed graph theorem uniform boundedness
Lecture 12: Functional Analysis - Normed spaces and Banach spaces
The twelfthclass in Dr Joel Feinstein's Functional Analysis module continues the discussion of Normed spaces and Banach spaces. Further module materials are available for download from The University of Nottingham open courseware site: unow.nottingham.ac.uk and on iTunes U: itunesu.nottingham.ac.uk Dr Feinstein's blog may be viewed at: explainingmaths.wordpress.com Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
Functional analysis Normed spaces Banach spaces Bounded linear operators dual spaces commutative Banach algebras complete metric spaces open mapping theorem closed graph theorem uniform boundedness metric spaces
Nov 9 - Banach's Contraction Mapping Theorem
further examples of connected and path connected Theorem 3.9 Banach's contraction mapping theorem Dr. Roger Smith Math 446 TAMU November 9, 2011
DYNAMIC DUOS: Joey Gleesing/Gary Banach: Kiss A Girl.MP4
DYNAMIC DUOS PRESENTS: Joey Gleesing/Gary Banach performing Keith Urban's "Kiss A Girl" at Jerzees, East Troy, WI. March 2011.
Lukasz Banach's interview for Babes and Brawls V
Carlson Gracie Team Muay Thai Instructor Lukasz Banach talks with us as he prepares for his upcoming Muay Thai match this Saturday, at Babes and Brawls V. The event of the year is only 3 days away, so make sure to get tickets while they last at www.MMAFighterChallenge.com!
Babes and Brawls Babes and Brawls V Babes and Brawls 5 MMA Fighter Challenge Pure MMA Pure MMA Fighting Atlantis Atlantis Gentlemen's Club Lukasz Banach Carlson Gracie Carlson Gracie Team MMA Aurora MMA Illinois MMA Chicago MMA Indiana MMA Midwest
SisterAli Alicja Janosz i Piotr Banach - Dranie
Miła dla ucha piosenka pierwszej zwyciężczyni Idola, Ali Janosz. Piosenkę współtworzył były gitarzysta Hey, Piotr Banach Tekst: Panie i panowie Panowie i panie Czy ktoś z was zna odpowiedź Na moje pytanie? Mianowicie chcę zapytać skąd się biorą tacy dranie, Którzy...
Banach - Hyndub
Nagranie pochodzi z płyty "Dub out of Poland, part 1"