Lectures related to Euclid's theorem

Covers the definition of primes, the Fundamental Theorem of Arithmetic, and Euclid's Theorem.

Explores the Inaugural Proposition of Euclid's Elements and practical exercises using TopSolid software.

Primes: Fundamental Theorem and Sieve of Eratosthenes

Explores primes, the Fundamental Theorem of Arithmetic, trial division, the Sieve of Eratosthenes, and Euclid's Theorem.

Prime Numbers: Euclid's Theorem

Explores prime numbers and Euclid's Theorem through a proof by contradiction.

Symmetries of Regular Polyhedra

Explores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Regular Pentagon Construction

Explores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.

Number Theory: More Facts about Primes

Explores distribution of primes, arithmetic progressions, Mersene primes, and Goldbach's Conjecture.

Elementary Operations in Geometry

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

The Riemann Hypothesis

Explores the Riemann Hypothesis, prime numbers, Zeta-function, and quantum mechanics.

Geometry: Inaugural Proposition

Explores the common inaugural proposition of Euclid and Vitruvius, focusing on commensurability and geometric figure construction.

Number Theory: Fundamental Concepts

Covers binary addition, prime numbers, and the sieve of Eratosthenes in number theory.

Introduction to Euclidean Elements

Introduces the fundamental concepts of Euclidean geometry and the Elements of Euclid, exploring historical background, key propositions, and postulates.

Introduction to Euclidean Elements

Introduces the fundamental concepts of Euclidean geometry, focusing on the Elements of Euclid and the logical structure of geometric propositions.

Prime Number Theorem Log in to Mediaspace to watch this video

Explores the proof of the Prime Number Theorem and its implications in number theory.

Characters and Dirichlet's Theorem Log in to Mediaspace to watch this video

Introduces characters over a finite abelian group and explains the proof of the infinitude of primes in arithmetic progressions.

Dirichlet Characters: Definition and Properties Log in to Mediaspace to watch this video

Explores Dirichlet characters, covering their definition, periodicity, and properties through a mock exam.

Prime Number Theorem Log in to Mediaspace to watch this video

Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.

Mertens' Theorems and Mobius Function Log in to Mediaspace to watch this video

Explores Mertens' theorems on prime estimates and the behavior of the Mobius function in relation to the prime number theorem.

Abel Summation and Prime Number Theory Log in to Mediaspace to watch this video

Introduces the Abel summation formula and its application in establishing various equivalent formulations of the Prime Number Theory.