Richard Taylor "Reciprocity Laws" [2012]
Slides for this talk: https://drive.google.com/file/d/1cIDu5G8CTaEctU5qAKTYlEOIHztL1uzB/view?usp=sharing Richard Taylor "Reciprocity Laws" Abstract: Reciprocity laws provide a rule to count the number of solutions to a fixed polynomial equation, or system of polynomial equations, modu
From playlist Number Theory
Evaluating Recurrence Relations (1 of 4: When do you apply Recurrence Relations?)
More resources available at www.misterwootube.com
From playlist Further Integration
Using the properties of rectangles to solve for x
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Reciprocity: Examples And Quantitative Confirmation
Reciprocity is a very remarkable and useful symmetry that exists in many different types of physical systems. Simply stated, if a system is driven at one point, and the response is detected at another point, the same response occurs if the source and receiver are interchanged. Linear p
From playlist Emil
Sequences: Introduction to Solving Recurrence Relations
This video introduces solving recurrence relations by the methods of inspection, telescoping, and characteristic root technique. mathispower4u.com
From playlist Sequences (Discrete Math)
Recurrence Relation Solution - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Writing a two column proof using properties of rectangles for triangle congruence
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
What are the properties that make up a rectangle
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Using the properties of a rectangle to find the missing value of an angle
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Theory of numbers: Quadratic reciprocity
This lecture is part of an online undergraduate course on the theory of numbers. We state and law of quadratic reciprocity for Legendre symbols, and prove it using Gauss sums. As applications we show how to use it to calculate Legendre symbols and to test Fermat numbers to see if they are
From playlist Theory of numbers
Proportional Reasoning with F=m*a
So acceleration is directly proportional to net force and inversely proportional to mass. But what does all that mean? This video explains the meaning of this principle and demonstrates how to use it to predict an acceleration value. Care is taken to describe how a change in one variable (
From playlist Newton's Laws Video Tutorial Series
Why did they prove this amazing theorem in 200 different ways? Quadratic Reciprocity MASTERCLASS
The longest Mathologer video ever, just shy of an hour (eventually it's going to happen :) One video I've been meaning to make for a long, long time. A Mathologerization of the Law of Quadratic Reciprocity. This is another one of my MASTERCLASS videos. The slide show consists of 550 slides
From playlist Recent videos
Fields Medal Lecture: Cohomology of arithmetic groups — Akshay Venkatesh — ICM2018
Cohomology of arithmetic groups Akshay Venkatesh Abstract: The topology of “arithmetic manifolds”, such as the space of lattices in Rn modulo rotations, encodes subtle arithmetic features of algebraic varieties. In some cases, this can be explained because the arithmetic manifold itself c
From playlist Special / Prizes Lectures
Introduction to number theory lecture 33. Quadratic reciprocity
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 state and prove the law of quadratic reciprocity. The textbook is "An introduction to t
From playlist Introduction to number theory (Berkeley Math 115)
Primes and Equations | Richard Taylor
Richard Taylor, Professor, School of Mathematics, Institute for Advanced Study http://www.ias.edu/people/faculty-and-emeriti/taylor One of the oldest subjects in mathematics is the study of Diophantine equations, i.e., the study of whole number (or fractional) solutions to polynomial equ
From playlist Mathematics
What is a tensor? Can it be defined in only three words?
In this video, I present a three words definition of a tensor and explain how all familiar properties of tensors can be recovered from this simple definition.
From playlist Summer of Math Exposition Youtube Videos
Introduction to number theory lecture 34. Gauss sums
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 Gauss sums and use them to give another proof of the law of quadratic reciprocity
From playlist Introduction to number theory (Berkeley Math 115)
Given the properties of a rectangle determine the value of x
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
