The Difference Between Pointwise Convergence and Uniform Convergence
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Difference Between Pointwise Convergence and Uniform Convergence
From playlist Advanced Calculus
Math 131 111416 Sequences of Functions: Pointwise and Uniform Convergence
Definition of pointwise convergence. Examples, nonexamples. Pointwise convergence does not preserve continuity, differentiability, or integrability, or commute with differentiation or integration. Uniform convergence. Cauchy criterion for uniform convergence. Weierstrass M-test to imp
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Find the Interval of Convergence
How to find the interval of convergence for a power series using the root test.
From playlist Convergence (Calculus)
Math 131 Fall 2018 111418 Sequences and Series of Functions
Statement of Abel's theorem on the Cauchy product. Comments about rearrangements of infinite series. Introduction to sequences and series of functions. Definition of pointwise convergence. Example (x^n on [0,1]); nonexample ("blimp functions"). Unsatisfying interaction of pointwise co
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Newton's Method Interval of Convergence
How to find the Interval of Convergence for Newton-type methods such as Newton's Method, Secant Method, and Finite Difference Method including discussion on Damped Newton's Method and widening the convergence interval. Example code in R hosted on Github: https://github.com/osveliz/numerica
From playlist Root Finding
Interval of Convergence (silent)
Finding the interval of convergence for power series
From playlist 242 spring 2012 exam 3
Calculus: How Convergence Explains The Limit
The limit definition uses the idea of convergence twice (in two slightly different ways). Once the of convergence is grasped, the limit concept becomes easy, even trivial. This clip explains convergence and shows how it can be used to under the limit.
From playlist Summer of Math Exposition Youtube Videos
Mariusz Mirek: Pointwise ergodic theorems for bilinear polynomial averages
We shall discuss the proof of pointwise almost everywhere convergence for the non-conventional (in the sense of Furstenberg and Weiss) bilinear polynomial ergodic averages. This is joint work with Ben Krause and Terry Tao: arXiv:2008.00857. We will also talk about recent progress towards e
From playlist Seminar Series "Harmonic Analysis from the Edge"
Polynomial Progressions in Topological Fields and Their Applications to Pointwise... - Mariusz Mirek
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Polynomial Progressions in Topological Fields and Their Applications to Pointwise Convergence Problems Speaker: Mariusz Mirek Affiliation: Member, School of Mathematics Date: March 02, 2023 We will discuss mu
From playlist Mathematics
Real Analysis - Part 24 - Pointwise Convergence
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From playlist Real Analysis
On recent developments in pointwise ergodic theory - Mariusz Mirek
Special Year Research Seminar Topic: On recent developments in pointwise ergodic theory Speaker: Mariusz Mirek Affiliation: Rutgers University; Member, School of Mathematics October 04, 2022 This will be a survey talk about recent progress on pointwise convergence problems for multiple e
From playlist Mathematics
Absolute Convergence, Conditional Convergence, and Divergence
This calculus video tutorial provides a basic introduction into absolute convergence, conditional convergence, and divergence. If the absolute value of the series convergences, then the original series will converge based on the absolute convergence test. If the absolute value of the ser
From playlist New Calculus Video Playlist
Giuseppe Savaré: The Weighted Energy Dissipation WED principle for gradient flows (part 4)
It is well known that gradient flows in linear or metric spaces can be constructed by studying the limit of the discrete solutions obtained by the so called Minimizing Movement scheme. The lectures will present an introduction to another variational method, consisting in a family of minimu
From playlist HIM Lectures 2015
Lecture 23: Pointwise and Uniform Convergence of Sequences of Functions
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw Instead of sequences of real numbers, what
From playlist MIT 18.100A Real Analysis, Fall 2020
Ex 1: Interval of Convergence for Power Series (Centered at 0)
This video provides an example of how to determine the integral of convergence for a power series centered at zero. Site: http://mathispower4u.com
From playlist Power Series
Real Analysis | Motivating uniform convergence
We motivate the definition of uniform convergence of a sequence of functions and give a few examples. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolph
From playlist Real Analysis
Math 131 Spring 2022 040422 Sequences and Series of Functions (incomplete)
Definition of pointwise convergence. Examples, nonexamples. Pointwise convergence does not preserve continuity, differentiability, or integrability, or commute with differentiation or integration. (Sorry - the memory card filled up.)
From playlist Math 131 Spring 2022 Principles of Mathematical Analysis (Rudin)
Sequences of Complex Functions -- Complex Analysis 16
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist Complex Analysis
Complex analysis: Locally uniform convergence
This lecture is part of an online undergraduate course on complex analysis. We discuss 3 notions of convergence for functions: pointwise convergence, uniform convergence, and locally uniform convergence, and explain why locally uniform convergence is the best one. As applications we show
From playlist Complex analysis
How to Prove Pointwise Convergence Advanced Calculus
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From playlist Advanced Calculus