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
Theory of numbers: Jacobi symbol
This lecture is part of an online undergraduate course on the theory of numbers. We define the Jacobi symbol as an extension of the Legendre symbol, and show how to use it to calculate the Legendre symbol fast. We also briefly mention the Kronecker symbol. For the other lectures in t
From playlist Theory of numbers
Introduction to number theory lecture 36 Kronecker symbol
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We define the Kronecker symbol and summarize its properties. The textbook is "An introduc
From playlist Introduction to number theory (Berkeley Math 115)
Types Of Numbers | Numbers | Maths | FuseSchool
We all know what numbers are 1, 2, 3, 4, 5, …. Including negative numbers -1, -2, -3, -4, -5, ... But did you know that mathematicians classify numbers into different types… into a number system. Let’s start at the top with real numbers. They can be positive… negative… zero… decimals, frac
From playlist MATHS: Numbers
Introduction to number theory lecture 35 Jacobi symbol
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We define the Jacobi symbol and prove its basic properties, and show how to calculate it fa
From playlist Introduction to number theory (Berkeley Math 115)
Important Number Theory Notation
From playlist ℕumber Theory
Rewriting a number into scientific notation with a positive power
👉 Learn how to convert numbers to scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is the numb
From playlist Scientific Notation
Learn how to write a decimal as a number in scientific notation
👉 Learn how to convert numbers to scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is the numb
From playlist Scientific Notation
Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations
This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form
From playlist Math Foundations
Gödel's Incompleteness Theorems: An Informal Introduction to Formal Logic #SoME2
My entry into SoME2. Also, my first ever video. I hope you enjoy. The Book List: Logic by Paul Tomassi A very good first textbook. Quite slow at first and its treatment of first-order logic leaves a little to be desired in my opinion, but very good on context, i.e. why formal logic is im
From playlist Summer of Math Exposition 2 videos
Cluster Algebras, Landau Singularities, and Scattering Amplitudes - Anastasia Volovich [2018]
Name: Anastasia Volovich Event: Program: Poisson geometry of moduli spaces, associators and quantum field theory Event URL: view webpage Title: Cluster Algebras, Landau Singularities and Scattering Amplitudes Date: 2018-05-16 @11:00 AM Location: 313 http://scgp.stonybrook.edu/video_portal
From playlist Mathematics
Fundamentals of Mathematics - Lecture 14: Signatures, Formulas, Structures, Theories, and Models
course page: http://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton handouts - DZB, Emory
From playlist Fundamentals of Mathematics
Huffman Codes: An Information Theory Perspective
Huffman Codes are one of the most important discoveries in the field of data compression. When you first see them, they almost feel obvious in hindsight, mainly due to how simple and elegant the algorithm ends up being. But there's an underlying story of how they were discovered by Huffman
From playlist Data Compression
The True Power of Model Theory – Compactness, Infinitesimals and Ax's theorem
Thanks for watching! Go check out all submissions to 3blue1brown's contest: https://3b1b.co/SoME1 Corrections and remarks: none yet, let me know in the comments if you have any. Sources and resources: – First-order logic, compactness theorem David Marker's book: https://www.springer.com
From playlist Summer of Math Exposition Youtube Videos
Ordine aritmetico e caos logico: congetture in teoria dei modelli
I numeri interi sono uno degli oggetti matematici dalla struttura più semplice e chiara, ma... lo sono per davvero? Negli occhi di un logico, essi potrebbero al contrario scoprirsi portatori di un caos insostenibile e inverecondo. Simone Ramello (Universität Münster) ci mostrerà come la te
From playlist Mathematics Münster News
Petru Constantinescu - On the distribution of modular symbols and cohomology classes
Motivated by a series of conjectures of Mazur, Rubin and Stein, the study of the arithmetic statistics of modular symbols has received a lot of attention in recent years. In this talk, I will highlight several results about the distribution of modular symbols, including their Gaussian dist
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Special functions for Feynman Integrals (Lecture 2) by Claude Duhr
RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures
From playlist Recent Developments in S-matrix Theory (Online)
Model Theory - part 01 - The Setup in Classical Set Valued Model Theory
Here we give the basic setup for Model Theory. I learned this from a talk Tom Scanlon gave in 2010 at CUNY.
From playlist Model Theory
Finding product of two numbers when they are in scientific notation
👉 Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
Lars Kristiansen: First order concatenation theory vs first order number theory
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: First-order concatenation theory can be compared to first-order number theory, e.g., Peano Arithmetic or Robinson Arithmetic. The universe of a standard structure for fir
From playlist Workshop: "Proofs and Computation"