Integral calculus | Multivariable calculus
In mathematics (specifically multivariable calculus), a multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z). Integrals of a function of two variables over a region in (the real-number plane) are called double integrals, and integrals of a function of three variables over a region in (real-number 3D space) are called triple integrals. For multiple integrals of a single-variable function, see the Cauchy formula for repeated integration. (Wikipedia).
Multivariable Calculus | Double integrals over rectangular regions.
We give some example of evaluating double integrals over recetangular regions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus | Multiple Integrals
Multivariable Calculus | A special double integral.
We describe a special case of a double integral over a rectangular region. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus | Multiple Integrals
What does a double integral represent?
► My Multiple Integrals course: https://www.kristakingmath.com/multiple-integrals-course It can be difficult to visualize what a double integral represents, which is why in this video we’ll be answering the question, “What am I finding when I evaluate a double integral?” In order to answ
From playlist Calculus III
Have you ever wondered what a double integral is and what it has to do with cake? If so, watch this video and find out. Here I show step-by-step how to calculate a double integral, which is the multivariable calculus analog of an integral, enjoy! Double and Triple Integrals: https://www.y
From playlist Double and Triple Integrals
Multivariable Calculus | Triple integrals with polar coordinates.
We give an example of a triple integral that is calculated using cylindrical coordinates -- that is and iterated single and double integral where the double integral uses polar coordinates. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus | Multiple Integrals
Region between x^2+y^2 and 2x+y+1
From playlist Triple integrals
What does a triple integral represent?
► My Multiple Integrals course: https://www.kristakingmath.com/multiple-integrals-course Skip to section: 0:15 // Recap of what the double integral represents 1:22 // The triple integral has two uses (volume and mass) 1:45 // How to use the triple integral to find volume 8:59 // Why the
From playlist Calculus III
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to integrate over rectangles. The ideas use double integrals and are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Math 032 Multivariable Calculus 14 102214: Integration of Functions of Several Variables, ct'd.
Integration of area integrals over "simple" (non-rectangular) regions; describing regions as x-simple (y-simple); changing the order of integration; simplifying a double iterated integral by changing the order of integration; statement of the Mean Value Theorem for double integrals.
From playlist Course 4: Multivariable Calculus (Fall 2014)
Francis Brown - Quantum Field Theory and Arithmetic
Quantum Field Theory and Arithmetic
From playlist 28ème Journées Arithmétiques 2013
Teun van Nuland: The spectral action expanded in Yang-Mills and Chern-Simons forms
Talk by Teun van Nuland in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on December 15, 2020
From playlist Global Noncommutative Geometry Seminar (Europe)
hi, in this video I'm showing you a method I haven't seen that often regarding the manipulation of the differential of any integral. The concept described in it should help develop a better understanding of the relationship of integration and differentiation. I hope it has been helpful! C
From playlist Summer of Math Exposition Youtube Videos
Part V: Multiple Integration, Lec 5 | MIT Calculus Revisited: Multivariable Calculus
Part V: Multiple Integration, Lecture 5: Green's Theorem Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-007F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Calculus Revisited: Multivariable Calculus
Georg Regensburger, University of Kassel
March 22, Georg Regensburger, University of Kassel Integro-differential operators with matrix coefficients
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
Iterated Shimura integrals - Yuri Manin
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Yuri Manin Northwestern University October 19, 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 four-day con
From playlist Pierre Deligne 61st Birthday
Erik Panzer - Feynman integrals and hyperlogarithms
Many Feynman integrals evaluate to multiple polylogarithms and their special values like multiple zeta values. One particularly successful approach to understand this phenomenon is due to Francis Brown and uses iterated integrals called hyperlogarithms as a basis for the arising transcende
From playlist 5e Séminaire Itzykson : "Feynman Integrals"
Visual Group Theory, Lecture 7.1: Basic ring theory
Visual Group Theory, Lecture 7.1: Basic ring theory A ring is an abelian group (R,+) with a second binary operation, multiplication and the distributive law. Multiplication need not commute, nor need there be multiplicative inverses, so a ring is like a field but without these properties.
From playlist Visual Group Theory
Lecture 23 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on linear systems, focusing on linear time and variance systems. The Fourier transform is a tool for solving physical problems. In thi
From playlist Lecture Collection | The Fourier Transforms and Its Applications
Federico Zerbini - Amplitudes de cordes et équations de type Knizhnik–Zamolodchikov
Les amplitudes de diffusion nous donnent la probabilité d'interaction des particules élémentaires. L'approche perturbative nous amène à considérer une série dont les coefficients sont calculés par les intégrales de Feynman. En théorie des cordes, un tel développement perturbatif est indexé
From playlist 10e séminaire ITZYKSON – Valeurs zêta multiples et fonctions modulaires de graphes en théorie des cordes
Multivariable Calculus | Transformations of the plane.
Working towards a formula for change of variables in multiple integrals, we introduce the notion of a one to one transformation of the plane. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus | Multiple Integrals