Topology (What is a Topology?)
What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b
From playlist Topology
Algebraic topology: Introduction
This lecture is part of an online course on algebraic topology. This is an introductory lecture, where we give a quick overview of some of the invariants of algebraic topology (homotopy groups, homology groups, K theory, and cobordism). The book "algebraic topology" by Allen Hatcher men
From playlist Algebraic topology
Topology 1.7 : More Examples of Topologies
In this video, I introduce important examples of topologies I didn't get the chance to get to. This includes The discrete and trivial topologies, subspace topology, the lower-bound and K topologies on the reals, the dictionary order, and the line with two origins. I also introduce (again)
From playlist Topology
What Is Network Topology? | Types of Network Topology | BUS, RING, STAR, TREE, MESH | Simplilearn
In this video on Network Topology, we will understand What is Network topology, the role of using topology while designing a network, Different types of Topologies in a Network. Network topology provides us with a way to configure the most optimum network design according to our requiremen
From playlist Cyber Security Playlist [2023 Updated]🔥
Most Popular Topology Book in the World
This is absolutely the most widely used and most popular topology book in the entire world. It is used at the undergraduate level(senior) and graduate level. The book is called Topology and it is written by James Munkres. This is the book on amazon: https://amzn.to/2pNwAMm If you use the
From playlist Cool Math Stuff
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
Topology 1.1 : Open Sets of Reals
In this video, I give a definition of the open sets on the real numbers. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Quantum Hamiltonian Engineering with parametric drives by Masatoshi Sato
Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys
From playlist Non-Hermitian Physics - PHHQP XVIII
The single, most important concept in topology and analysis: Compactness. This is explained via covers, which I'll define as well. There are tons of applications of this concept, which you can find in the playlist below Topology Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmA13v
From playlist Topology
Hannah Schwartz - The presence of 2-torsion
June 21, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Two knots in S^3 are ambiently isotopic if and only if there is an orientation preserving automorphism of S^3 carrying one knot to the other (this foll
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
Robust dynamics, invariant structures and topological classification – Rafael Potrie – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.11 Robust dynamics, invariant structures and topological classification Rafael Potrie Abstract: Robust dynamical properties imply invariant geometric structures. We will survey the recent advances on topological clas
From playlist Dynamical Systems and ODE
In this video I talk about an amazing book written by two legendary mathematicians. The book is called "What is Mathematics?" and it was written by Richard Courant and Herbert Robbins. I talk about various sections in this book and spend a lot of time talking about the Mathematical Analysi
From playlist Book Reviews
Topological Spaces: Introduction & Axioms
The first video in a new series on topological spaces and manifolds.
From playlist Topology & Manifolds
AlgTopReview: An informal introduction to abstract algebra
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is
From playlist Algebraic Topology
Chern numbers of families of algebraic curves and ordinary differential equations by Sheng-Li Tan
Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area
From playlist Algebraic Surfaces and Related Topics
Frédéric Chazal interviewed by Steve Oudot (September 14, 2022)
Frédéric Chazal interviewed by Steve Oudot (September 14, 2022) For more on the interview series, along with the advertisement posters, please see https://www.aatrn.net/interviews
From playlist AATRN Interviews
Homological Algebra(Homo Alg 1) by Graham Ellis
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
AI code to analyze a Tech Report:Deloitte Tech Trends 2021 (SBERT 1)
Augment your coded artificial intelligence for semantic analysis. With the aim to decipher interlinked semantic topics within a set of documents. Empirical reflections from a real world application of self-coded AI: let your AI present the content of a tech report (100 pages) to you. Wil
From playlist Create insights into complex topics with AI
The Best Topology Book For Beginners is Free
In this video I talk about a math book that I have known about for a very long time. I will show you a topology book that is great for beginners and is 100% free. I also discuss two other topology books with I think are very good. Topology Without Tears: https://www.topologywithouttears.
From playlist Book Reviews
Elba Garcia-Failde: Introduction to topological recursion - Lecture 1
Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In this mini-course I will introduce the universal procedure of topological recursion, both by treating examples and by presenting the general formalism. We wi
From playlist Noncommutative geometry meets topological recursion 2021