Infinite products & the Weierstrass factorization theorem
In this video we're going to explain the Weierstrass factorization theorem, giving rise to infinite product representations of functions. Classical examples are that of the Gamma function or the sine function. https://en.wikipedia.org/wiki/Weierstrass_factorization_theorem https://en.wiki
From playlist Programming
Applying reimann sum for the midpoint rule and 3 partitions
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
How to use midpoint rienmann sum with a table
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
Midpoint riemann sum approximation
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
How to use right hand riemann sum give a table
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
Complex analysis: Weierstrass elliptic functions
This lecture is part of an online undergraduate course on complex analysis. We define the Weierstrass P and zeta functions and show they are elliptic. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN
From playlist Complex analysis
Applying iram to a table of values
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
Foundations of Quantum Mechanics: Completeness
Foundations of Quantum Mechanics: Completeness This lecture is a long and complex proof that every finite vector space is complete. The purpose is to demonstrate some of the methods of real and functional analysis as well as to emphasize the significance of a vector space being finite-dim
From playlist Mathematical Foundations of Quantum Mechanics
Metric Spaces - Lectures 19 & 20: Oxford Mathematics 2nd Year Student Lecture
For the first time we are making a full Oxford Mathematics Undergraduate lecture course available. Ben Green's 2nd Year Metric Spaces course is the first half of the Metric Spaces and Complex Analysis course. This is the 10th of 11 videos. The course is about the notion of distance. You m
From playlist Oxford Mathematics Student Lectures - Metric Spaces
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
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
How to find the position function given the acceleration function
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist Riemann Sum Approximation
Applications of analysis to fractional differential equations
I show how to apply theorems from analysis to fractional differential equations. The ideas feature the Arzela-Ascoli theorem and Weierstrass' approximation theorem, leading to a new approach for solvability of certain fractional differential equations. When do fractional differential equ
From playlist Mathematical analysis and applications
Math 101 Fall 2017 103017 Introduction to Cauchy Sequences
Definition of a Cauchy sequence. Convergent sequences are Cauchy. Cauchy sequences are not necessarily convergent. Cauchy sequences are bounded. Completeness of the real numbers (statement).
From playlist Course 6: Introduction to Analysis (Fall 2017)
Stephanie Chan, Integral points in families of elliptic curves
VaNTAGe Seminar, June 28, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Hindry-Silverman: https://eudml.org/doc/143604 Alpoge: https://arxiv.org/abs/1412.1047 Bhargava-Shankar: https://arxiv.org/abs/1312.7859 Brumer-McGuiness: https://www.ams.org/journal
From playlist Arithmetic Statistics II
Weierstrass Polynomial Approximation Theorem
How can polynomials approximate continuous functions? I discuss the Weierstrass polynomial approximation theorem and provide a simple proof! This presentation is suitable for anyone who has a good understanding of a Calc 1 course. We use simple ideas like integration by parts and contin
From playlist Mathematical analysis and applications
Mod-01 Lec-14 Convergence of Gaussian Integration
Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics
Zero mean curvature surfaces in Euclidean and Lorentz-Minkowski....(Lecture 1) by Shoichi Fujimori
Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conduct
From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)
Algebra - Ch. 31: Linear Inequality in 2 Variables (2 of 14) Differences
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between “greater-than or equalto” and “greater-than”, and “less-than or equal to” and “less-than” graphi
From playlist ALGEBRA CH 31 LINEAR INEQUALITIES IN 2 VARIABLES
Proof: Cauchy Sequences are Convergent | Real Analysis
We prove every Cauchy sequence converges. To do this we use the fact that Cauchy sequences are bounded, then apply the Bolzano Weierstrass theorem to get a convergent subsequence, then we use Cauchy and subsequence properties to prove the sequence converges to that same limit as the subseq
From playlist Real Analysis