Number Theory Math for Fun
Explore number theory concepts through engaging proofs, puzzles, and problems, from classic irrationality demonstrations to modular arithmetic and prime numbers.
Sending Secrets - Cryptography & Privacy in a Quantum World
Explore cryptography's evolution, from ancient methods to quantum challenges, and discover potential future-proof encryption techniques. No advanced math required.
Sending Secrets: Security and Cryptography in a Quantum World
Explore cryptography's evolution, from Caesar's cipher to quantum computing challenges. Learn about modern encryption, prime numbers, and the potential impact of quantum computers on cybersecurity.
Emergence and Grokking in Simple Neural Architectures
Dive into emergence and grokking in simple neural architectures. Explore MLPs' remarkable behaviors, feature-learning kernel machines, and their implications for understanding modern deep learning phenomena.
Number Theory
Comprehensive exploration of number theory, covering foundational concepts to advanced topics like quadratic reciprocity, integer partitions, and Ramanujan's congruences.
Primes and Knots - Akshay Venkatesh
Explore surprising parallels between number theory and 3D geometry, uncovering connections that continue to shape mathematical research.
Katz-Grothendieck Conjecture: Criteria for Algebraic Solutions in Linear Differential Equations
Explore a conjectura de Katz-Grothendieck sobre equações diferenciais lineares com soluções algébricas, incluindo contexto histórico e evidências principais. Adequado para estudantes de pós-graduação em matemática.
Congruências - PAPMEM Janeiro 2023
Aprofunde-se em congruências matemáticas com o Professor Luciano Castro. Aprimore suas habilidades de ensino e explore conceitos avançados do Ensino Médio nesta aula do PAPMEM.
La cryptographie mathématique de César à Heisenberg I
Explorez l'évolution de la cryptographie, des méthodes historiques aux défis de l'ère quantique. Découvrez les fondements mathématiques et les enjeux futurs de la sécurité des communications.
Basic Maths for DSA - Sieve - Modular Arithmetics - Euclid’s Algorithm
Learn essential mathematical concepts for DSA: Sieve method for prime numbers, Euclid's algorithm for GCD/LCM, and modular arithmetic with fast exponentiation. Includes code examples and problem-solving techniques.
Secret of Row 10 - A New Visual Key to Ancient Pascalian Puzzles
Explore hidden patterns in Pascal's triangle and snail shells through a visual key, featuring Sierpinski's triangle and modular arithmetic in this fascinating mathematical journey.
Modular Arithmetic With Fermat and Euler - Data Structures in Mathematics Math Foundations
Explore Fermat's and Euler's theorems in modular arithmetic, learning to simplify calculations and solve problems like z mod 13 through practical examples and applications.
Back to Gauss and Modular Arithmetic - Data Structures in Mathematics Math Foundations
Explore modular arithmetic and its applications in number theory. Learn about congruences, divisibility, and efficient calculation of remainders without long division.
Factoring Large Numbers into Primes - Famous Math Problems
Explore prime factorization of large numbers, modular arithmetic, and theorems by Fermat and Euler. Learn techniques to tackle complex mathematical problems and improve number theory skills.
Ramanujan's Famous Mod 5 Congruence - Number Theory
Explore Ramanujan's famous (mod 5) congruence in number theory, delving into its mathematical significance and applications. Gain insights into this intriguing concept through clear explanations and examples.
Primitive Roots - Number Theory
Explore primitive roots in number theory, delving into advanced mathematical concepts and their applications in this comprehensive video lecture.
The Order of an Integer Modulo N - Number Theory
Explore the concept of order for integers modulo n in number theory, covering key propositions, primitive roots, and proofs to deepen understanding of modular arithmetic.
Chinese Remainder Theorem - Number Theory
Explore the Chinese Remainder Theorem, a fundamental concept in number theory, and its applications in solving systems of linear congruences.
Modular Arithmetic - Number Theory
Explore fundamental concepts of modular arithmetic in number theory, including congruence relations, modular operations, and their applications in mathematics.
Clock Mathematics and the 12-Tone Chromatic Scale - Connecting Music Theory and Mod 12 Arithmetic
Explores the connection between mathematics and music through the 12-tone chromatic scale, clock geometry, and mod 12 arithmetic, offering a fresh perspective on music theory and mathematical notation.
The Number Theory Revival - From Diophantus to Fermat
Explore the revival of number theory, from Diophantus to Fermat, covering key concepts like combinatorics, algebraic curves, and famous theorems in this comprehensive mathematical journey.