Abstract algebra | Article proofs | Operations on numbers | Elementary algebra
This article contains mathematical proofs for some properties of addition of the natural numbers: the additive identity, commutativity, and associativity. These proofs are used in the article Addition of natural numbers. (Wikipedia).
Proof by Induction: 4^n - 1 is a Multiple of 3
This video provides an example of proof by induction. mathispower4u.com
From playlist Sequences (Discrete Math)
Number Theory | Fundamental Theorem of Arithmetic
We give a proof of the Fundamental Theorem of Arithmetic. http://www.michael-penn.net
From playlist Number Theory
Reconsidering natural numbers and arithmetical expressions | Data structures Math Foundations 185
It is time to turn our gaze back to the true foundations of the subject: arithmetic with natural numbers. But now we know that the issue of "What exactly is a natural number?" is fraught with subtlety. We adopt a famous dictum of Errett Bishop, and start to make meaningful distinctions bet
From playlist Math Foundations
Ex: Write and Solve an Equation for Consecutive Natural Numbers with a Given Sum
This video explains how to set up and solve an equation involving consecutive natural numbers with a given sum. http://mathispower4u.com
From playlist Applications: Writing and Solving Equations
Identifying Sets of Real Numbers
This video provides several examples of identifying the sets a real number belongs to. Complete Video Library: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com
From playlist Number Sense - Properties of Real Numbers
Proof by Induction: Prove n^2 less than 2^n with n greater than or equal to 5.
This video provides an example of proof by induction. mathispower4u.com
From playlist Sequences (Discrete Math)
Natural Numbers can be either Even OR Odd - 2 Proofs & Partition of the Positive Integers
Merch :v - https://teespring.com/de/stores/papaflammy Help me create more free content! =) https://www.patreon.com/mathable Set Theory: https://www.youtube.com/watch?v=nvYqkhZFzyY Good mornin my sons and daugthers! Let us perform anice litle task today: Showing the video titles theorem
From playlist Number Theory
Ben discusses proof by induction and goes over two examples.
From playlist Basics: Proofs
Using mathematical induction to prove a formula
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, . . . To prove by induction, we first show that the f
From playlist Sequences
J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part2)
In the classical analogy between number fields and function fields, an Euclidean lattice (E,∥.∥) may be seen as the counterpart of a vector bundle V on a smooth projective curve C over some field k. Then the arithmetic counterpart of the dimension h0(C,V)=dimkΓ(C,V) of the space of section
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Year 13/A2 Pure Chapter 0.1 (Subsets of Real Numbers, Representatives and Proof)
Welcome to the first video for year 13 (A2) Pure Mathematics! This video is part of a series of three that I've called Chapter 0, and is meant as a foundation for Year 13. The primary reasons for doing this are that the difficulty of Year 13 is markedly harder than Year 12 content, and al
From playlist Year 13/A2 Pure Mathematics
Introduction to additive combinatorics lecture 1.0 --- What is additive combinatorics?
This is an introductory video to a 16-hour course on additive combinatorics given as part of Cambridge's Part III mathematics course in the academic year 2021-2. After a few remarks about practicalities, I informally discuss a few open problems, and attempt to explain what additive combina
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Yonatan Harpaz - New perspectives in hermitian K-theory III
For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu
From playlist New perspectives on K- and L-theory
Pablo Shmerkin: Additive combinatorics methods in fractal geometry - lecture 3
In the last few years ideas from additive combinatorics were applied to problems in fractal geometry and led to progress on some classical problems, particularly on the smoothness of Bernoulli convolutions and other self-similar measures. We will introduce some of these tools from additive
From playlist Combinatorics
Ben Green - University of Oxford Classical Fourier analysis has found many uses in additive number theory. However, while it is well-adapted to some pro - blems, it is unable to handle others. For example, if one has a set A, and one wishes to know how many 3-term arithmetic progressions
From playlist Ben Green - Nilsequences
Yuri Manin - Numbers as functions
Numbers as functions
From playlist 28ème Journées Arithmétiques 2013
Gromov–Witten Invariants and the Virasoro Conjecture - II (Remote Talk) by Ezra Getzler
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
The story of mathematical proof – with John Stillwell
Discover the surprising history of proof, a mathematically vital concept. In this talk John covers the areas of number theory, non-Euclidean geometry, topology, and logic, and peer into the deep chasm between natural number arithmetic and the real numbers. Buy John's book here: https://g
From playlist Livestreams
Univalence from a computer science point-of-view - Dan Licata
Vladimir Voevodsky Memorial Conference Topic: Univalence from a computer science point-of-view Speaker: Dan Licata Affiliation: Wesleyan University Date: September 14, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics