Mathematical proofs | Elementary mathematics

Elementary proof

In mathematics, an elementary proof is a mathematical proof that only uses basic techniques. More specifically, the term is used in number theory to refer to proofs that make no use of complex analysis. Historically, it was once thought that certain theorems, like the prime number theorem, could only be proved by invoking "higher" mathematical theorems or techniques. However, as time progresses, many of these results have also been subsequently reproven using only elementary techniques. While there is generally no consensus as to what counts as elementary, the term is nevertheless a common part of the mathematical jargon. An elementary proof is not necessarily simple, in the sense of being easy to understand or trivial. In fact, some elementary proofs can be quite complicated — and this is especially true when a statement of notable importance is involved. (Wikipedia).

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A simple number theory proof problem regarding prime number distribution: Prove that there is a prime number between n and n! Please Like, Share and Subscribe!

From playlist Elementary Number Theory

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From playlist Relationships with Triangles

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This video introduces the mathematical proof method of direct proof provides an example of a direct proof. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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From playlist Proofs

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In this first video in our mathematical proof series, (the slightly injured) Ben discusses direct proofs and shows two examples.

From playlist Basics: Proofs

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Toposes online

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From playlist Course 4: Linear Algebra (Fall 2017)

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From playlist Mathematics

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From playlist Mathematics

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From playlist Course 4: Linear Algebra (Fall 2017)

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From playlist Part 2 Linear Algebra: An In-Depth Course with a Focus on Applications

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From playlist Wolfram Technology Conference 2021

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From playlist Parallel Lines and a Transversal

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Mathematical object | Complex analysis | G. H. Hardy | Riemann hypothesis | Conjecture | Theorem | Tetration | Fermat's Last Theorem | Mathematical proof | Peano axioms | Atle Selberg | Mathematics | Integer | Root of a function | Mathematical induction | Wiles's proof of Fermat's Last Theorem | Number theory | Axiom | Prime number theorem | Analytic function | Paul Erdős | Jacques Hadamard