Concept
Euclid's theorem
Related lectures (28)
Symmetries of Regular Polyhedra
Explores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.
Characters and Dirichlet's Theorem
Introduces characters over a finite abelian group and explains the proof of the infinitude of primes in arithmetic progressions.
Geometry: Inaugural Proposition
Explores the Inaugural Proposition of Euclid's Elements and practical exercises using TopSolid software.
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.
Prime Number Theorem
Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.
Mertens' Theorems and Mobius Function
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
Introduces the Abel summation formula and its application in establishing various equivalent formulations of the Prime Number Theory.
Elementary Operations in Geometry
Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.
Geometry: Inaugural Proposition
Explores the common inaugural proposition of Euclid and Vitruvius, focusing on commensurability and geometric figure construction.