Fundamental Theorem of Algebra
The Fundamental Theorem of Algebra and some additional notes about how roots of polynomials and complex numbers are related to each other.
From playlist Modern Algebra
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
What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217
Here we give restatements of the Fundamental theorems of Algebra (I) and (II) that we critiqued in our last video, so that they are now at least meaningful and correct statements, at least to the best of our knowledge. The key is to abstain from any prior assumptions about our understandin
From playlist Math Foundations
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
In this video, I state and prove the Fundamental Rank Theorem, one of the cornerstones of the theory of linear equations. This theorem says that any matrix can be row and column reduced to a matrix with only 1's and 0's on the diagonal, where the number of 1's is equal to the rank of the m
From playlist Linear Equations
Advanced Linear Algebra Full Video Course
Linear algebra is central to almost all areas of mathematics. For instance, #linearalgebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of
From playlist Linear Algebra
Calculus: The Fundamental Theorem of Calculus
This is the second of two videos discussing Section 5.3 from Briggs/Cochran Calculus. In this section, I discuss both parts of the Fundamental Theorem of Calculus. I briefly discuss why the theorem is true, and work through several examples applying the theorem.
From playlist Calculus
Linear Algebra Full Course for Beginners to Experts
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of l
From playlist Linear Algebra
Tropical Geometry - Lecture 5 - Fundamental Theorem | Bernd Sturmfels
Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)
From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels
Complex polynomials and their factors | Linear Algebra MATH1141 | N J Wildberger
We look at the arithmetic of complex polynomials, prove both the Factor theorem and the Remainder theorem, and discuss the contentious "Fundamental theorem of Algebra" from a computational perspective. ************************ Screenshot PDFs for my videos are available at the website htt
From playlist Higher Linear Algebra
Complex conjugate and absolute value. The Division Algorithm for polynomials. Zeros of polynomials. Factorization of polynomials.
From playlist Linear Algebra Done Right
The Computational Complexity of Geometric Topology Problems - Greg Kuperberg
Greg Kuperberg University of California, Davis September 24, 2012 This talk will be a partial survey of the first questions in the complexity theory of geometric topology problems. What is the complexity, or what are known complexity bounds, for distinguishing n-manifolds for various n? Fo
From playlist Mathematics
Lecture 2: Multiplying and Factoring Matrices
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k Multiplying and fa
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Hodge theory and algebraic cycles - Phillip Griffiths
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Phillip Griffiths Institute for Advanced Study October 18, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a f
From playlist Pierre Deligne 61st Birthday
Seminar on Applied Geometry and Algebra (SIAM SAGA): Frank Sottile
Date: Tuesday, August 10 Speaker: Frank Sottile, Texas A&M Title: Applications of Bernstein's Other Theorem Abstract: Many of us are familiar with Bernstein's Theorem giving the number of solutions in the torus to a general system of sparse polynomial equations. The linchpin of his proo
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Evaluate the integral with e as the lower bound
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct
From playlist Evaluate Using The Second Fundamental Theorem of Calculus
Motivic integration and p-adic reductive groups - J. Gordon - Workshop 2 - CEB T1 2018
Julia Gordon (U. British Colombia) Motivic integration and p-adic reductive groups. I will survey the state of the long-term program initiated by T.C. Hales of making representation theory of p-adic groups “motivic” (in the sense of motivic integration), and some applications of this ap
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Geometry of tropical varieties with a view toward applications (Lecture 2) by Omid Amini
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS : Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE : 27 June 2022 to 08 July 2022 VENUE : Madhava Lecture Hall and Online Algebraic geometry is the study
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Linear Algebra: Systems of Linear Equations
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra