MATH331: Riemann Surfaces - part 1
We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.
From playlist The Riemann Sphere
Understanding and computing the Riemann zeta function
In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:https://gist.github.com/Nikolaj-K/996dba1ff1045d767b10d4d07b1b032f
From playlist Programming
Ch 6: What are bras and bra-ket notation? | Maths of Quantum Mechanics
Hello! This is the sixth chapter in my series "Maths of Quantum Mechanics." In this episode, we'll intuitively understand what the bra is in quantum mechanics, and why we need it. We'll also finally justify the power of bra-ket notation, and its relation to the Riesz representation theore
From playlist Maths of Quantum Mechanics
Some identities involving the Riemann-Zeta function.
After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Riemann Zeta Function
Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1
I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela
From playlist Calculus
Functional Analysis - Part 15 - Riesz Representation Theorem
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Functional analysis series: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCAfprrnGfr PDF versions: https://steadyhq.com/en/brightsideofmaths/po
From playlist Functional analysis
Functional Analysis Lecture 07 2014 02 11 Riesz Interpolation Theorem, Part 2
Proof of theorem in case of general L^p functions. Using Riesz interpolation to extend Fourier transform. Rapidly decreasing functions; Schwartz class functions. Fourier transform of a Schwartz class function. Properties of Fourier transform (interaction with basic operations); Fourie
From playlist Course 9: Basic Functional and Harmonic Analysis
Background material on the Cauchy-Riemann equations (Lecture 1) by Debraj Chakrabarti
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
Math 131 Spring 2022 050422 Riesz Fischer; Parseval's theorem
Riesz-Fischer theorem: Fourier Series of a (Riemann integrable) function converge to the original function - in the L2 sense. Consequence: Parseval's theorem: the L2 norm of the function is the l2 norm of its Fourier coefficients.
From playlist Math 131 Spring 2022 Principles of Mathematical Analysis (Rudin)
Functional Analysis Lecture 06 2014 02 06 Riesz Interpolation Theorem, Part 1
Fourier coefficients; Fourier series; connection with complex analysis (conjugate function; Cauchy integral); Riesz interpolation; Hausdorff-Young inequality; “three lines” lemma. Note there is an error in the statement of the interpolation theorem: p_i and q_i need not be conjugate expon
From playlist Course 9: Basic Functional and Harmonic Analysis
Michael Baake: A cocycle approach to the Fourier transform of Rauzy fractals...
"A cocycle approach to the Fourier transform of Rauzy fractals and the point spectrumof Pisot inflation tilings" The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on “Transfer operators in number theory and quantum ch
From playlist Conference: Transfer operators in number theory and quantum chaos
Endre Szemerédi - The Abel Prize interview 2012
0:28 Early interest in mathematics 3:01 High schools in Hungary specializing in mathematics 4:38 Started studying mathematics at the age of 22 7:24 Professor Paul Turán inspired me to become a mathematician 8:57 Relationship between Paul Turán and Atle Selberg 9:24 Other influences and col
From playlist Endre Szemerédi
Functional Analysis - Part 22 - Dual spaces
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Functional analysis series: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCAfprrnGfr PDF versions: https://steadyhq.com/en/brightsideofmaths/po
From playlist Functional analysis