Arithmetic statistics over number fields and function fields - Alexei Entin
Alexei Entin Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu
From playlist Mathematics
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
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
Algebraic Expressions (Basics)
This video is about Algebraic Expressions
From playlist Algebraic Expressions and Properties
Algebraic and Combinatorial Proofs: C(n,k)=C(n,n-k)
This video provides an algebraic proof and three combinatorial proofs for a binomial identity.
From playlist Counting (Discrete Math)
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Algebraic Calculus One ... and Two! | Algebraic Calculus Info | N J Wildberger
The online course Algebraic Calculus One at openlearning.com has had its first beta run at openlearning.com over the last two years. Overall it has been a very pleasant success. In this video we recount the main innovative aspects of this purely algebraic approach to a classical subject. T
From playlist Algebraic Calculus One Info
What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
We've mentioned in passing some different ways to classify numbers, like rational, irrational, real, imaginary, integers, fractions, and more. If this is confusing, then take a look at this handy-dandy guide to the taxonomy of numbers! It turns out we can use a hierarchical scheme just lik
From playlist Algebra 1 & 2
Field Theory: We consider the property of algebraic in terms of finite degree, and we define algebraic numbers as those complex numbers that are algebraic over the rationals. Then we give an overview of algebraic numbers with examples.
From playlist Abstract Algebra
In this video I will give you the resources you need to learn data science from zero knowledge. We will discuss several programming books and math books that are perfect for beginners who want to acquire the skills to become a data scientist. In particular we will look at books on R, Pytho
From playlist Book Reviews
Why The Best Data Scientists have Mastered Algebra, Calculus and Probability
All the outstanding data scientist and ML engineers have one thing in common: They have a strong, working understanding of how ML's high-level software libraries work. Being able to look under the hood, and understand what's going in libraries such as scikit-learn, TensorFlow, and Keras,
From playlist Talks and Tutorials
Beyond linear algebra - Bernd Sturmfels
Bernd Sturmfels University of California, Berkeley December 10, 2014 More videos on http://video.ias.edu
From playlist Mathematics
My Math Bookshelf (Middle Row)
These are some of my math books from one of my bookshelves. There are 26 total:) If you enjoyed this video please consider liking, sharing, and subscribing. *****The books with links to amazon if available****** Topics in Ring Theory by Barshay Ring Theory by Gordon Topics in Algebra b
From playlist Book Reviews
Algebraic methods for point estimation
From playlist Fall 2018 Symbolic-Numeric Computing
Noémie Combe - How many Frobenius manifolds are there?
In this talk an overview of my recent results is presented. In a joint work with Yu. Manin (2020) we discovered that an object central to information geometry: statistical manifolds (related to exponential families) have an F-manifold structure. This algebraic structure is a more general v
From playlist Research Spotlight
Simon Telen - Likelihood Equations and Scattering Amplitudes
We identify the scattering equations from particle physics as the likelihood equations for a particular statistical model. The scattering potential plays the role of the log-likelihood function. We employ recent methods from numerical nonlinear algebra to solve challenging instances of the
From playlist Research Spotlight
Probability and Statistical Inference
This book is titled Probability and Statistical Inference. It was written by Hogg and Tanis. This book contains tons of statistics and probability that is useful for anyone who wants to learn these subjects. Here is a newer edition: https://amzn.to/3JUVWyP Here is another: https://amzn.t
From playlist Book Reviews
All the Math Classes that Math Majors Take
In this video I go over all of the classes that most math majors take. These are the ones I took which were, all of the most common ones and the recommended ones for a pure math degree. Hopefully this gives you an idea of what kind of things you will study if you decide to major in math. I
From playlist Book Reviews
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Hao Xu (7/26/22): Frobenius algebra structure of statistical manifold
Abstract: In information geometry, a statistical manifold is a Riemannian manifold (M,g) equipped with a totally symmetric (0,3)-tensor. We show that the tangent bundle of a statistical manifold has a Frobenius algebra structure if and only if the sectional K-curvature vanishes. This gives
From playlist Applied Geometry for Data Sciences 2022