Brooks' theorem

Taylor Theorem Proof

In this video, I give a very neat and elegant proof of Taylor’s theorem, just to show you how neat math can be! It is simply based on repeated applications of the fundamental theorem of calculus. Enjoy! Note: The thumbnail is taken from https://i.redd.it/kv7lk5kn31e01.jpg

From playlist Calculus

Images in Math - Pascal's Theorem

This video is about Pascal's Theorem.

From playlist Images in Math

Theory of numbers: Congruences: Euler's theorem

This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim

From playlist Theory of numbers

Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

Taylor Polynomials

Approximating a function with a Taylor Polynomial More free lessons at: http://www.khanacademy.org/video?v=8SsC5st4LnI

From playlist Calculus

Theory of numbers: Gauss's lemma

This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di

From playlist Theory of numbers

Number Theory | Lagrange's Theorem of Polynomials

We prove Lagrange's Theorem of Polynomials which is related to the number of solutions to polynomial congruences modulo a prime.

From playlist Number Theory

Maclaurin series and applications

Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook Basic example on Maclaurin series and some applications. In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's deriv

From playlist A second course in university calculus.

Prob & Stats - Bayes Theorem (1 of 24) What is Bayes Theorem?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is and define the symbols of Bayes Theorem. Bayes Theorem calculates the probability of an event or the predictive value of an outcome of a test based on prior knowledge of condition rela

From playlist PROB & STATS 4 BAYES THEOREM

Intro to Nielsen fixed point theory

A talk given by Chris Staecker at King Mongkut's University of Technology Thonburi, Bangkok, Thailand, on October 10 2019. Covers basic definitions and results of Nielsen fixed point theory, plus a few minutes about Nielsen-type theories for coincidence and periodic points. Should be und

From playlist Research & conference talks

Graph Theory: 66. Basic Bound on the Chromatic Number

In this video we prove by induction that every graph has chromatic number at most one more than the maximum degree. Odd cycles and complete graphs are examples for which the chromatic number meets this upper bound exactly. For other graphs, Brook's Theorem tells us that the chromatic num

From playlist Graph Theory part-11

Origin of Taylor Series

The history of Taylor Series and Maclaurin Series including the works of de Lagny, Halley, Gregory, and Madhava using primary sources whenever possible. Lesson also presents the Taylor Theorem along with visualizations of James Gregory's equations. Finally the video discusses the time peri

From playlist Numerical Methods

E. Floris - Birational geometry of foliations on surfaces (Part 2)

The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

Chow ring 2: Chern classes

This lecture give an overview of Chern classes of nonsingular algebraic varieties. We first define the Chern class of a lline bundle by looking at the cycle of zeros of a section. Then we define Chern classes of higher rank vector bundles by looking at the line bundle O(1) over the corresp

From playlist Algebraic geometry: extra topics

Matthew Stover: Variations on an example of Hirzebruch

Abstract: In '84, Hirzebruch constructed a very explicit noncompact ball quotient manifold in the process of constructing smooth projective surfaces with Chern slope arbitrarily close to 3. I will discuss how this and some closely related ball quotients are useful in answering a variety of

From playlist Algebraic and Complex Geometry

Schemes 44: Proj (S)

This lecture is part of an online course on schemes, following the book "Algebraic geometry" by Hartshorne. In this lecture we discuss a relative version of the construction of a projective scheme from a graded algebra, special cases of which give projective space bundles and the blowup

From playlist Algebraic geometry II: Schemes

Riemann Roch (Introduction)

This lecture is part of an online course on algebraic geometry, following the book "Algebraic geometry" by Hartshorne. It is the first of a few elementary lectures on the Riemann-Roch theorem, mostly for compact complex curves. In this lecture we state the Riemann Roch theorem and explain

From playlist Algebraic geometry: extra topics

Rodney Brooks - Is the Cosmos a Computer?

That the cosmos is a computer sounds like a modern metaphor, a way of explaining how things work. But some make a bolder claim: that the cosmos is in reality a computer, not just as metaphor. This would mean that all that exists in the physical universe is in essence the computational proc

From playlist Closer To Truth - Rodney Brooks Interviews

Math 031 041917 Taylor's Theorem and the Lagrange Remainder Theorem (no sound)

Motivation: how do you know of the Taylor series converges back to the original function? Statement of Taylor's Theorem (+ Lagrange Remainder Formula). Example application: showing that the Taylor series for the sine recovers the sine (at x = 1; then for general x). Same application for

From playlist Course 3: Calculus II (Spring 2017)

85 Years of Nielsen Theory: Coincidence Points

Part 3 of a 3 part series of expository talks on Nielsen theory I gave at the conference on Nielsen Theory and Related Topics in Daejeon Korea, June 27, 2013. Part 1- Fixed Points: http://youtu.be/1Ls8mTkRtX0 Part 3- Coincidence Points: http://youtu.be/Wu2Cr3v_I44 Chris Staecker's intern

From playlist Research & conference talks