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The Series Finale of Online Education: Coursera Acquires Udemy

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Subjects
Mathematics
Number Theory
Modular Arithmetic

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Master modular arithmetic fundamentals for cryptography, computer science algorithms, and number theory applications. Learn through hands-on tutorials on YouTube, structured courses on Coursera, and interactive problems on Brilliant, covering prime factorization, Fermat's theorem, and RSA encryption foundations.

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Number Theory

Explore the powers of divisibility, modular arithmetic, and infinity.
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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.
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Explore the mathematical foundations of primitive roots modulo n, covering order calculations, existence theorems, and applications to solving exponential congruences.
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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.
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Explore primitive roots in number theory, delving into advanced mathematical concepts and their applications in this comprehensive video lecture.
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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.
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Explore the Chinese Remainder Theorem, a fundamental concept in number theory, and its applications in solving systems of linear congruences.
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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.
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Institute for Advanced Study
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Explore surprising parallels between number theory and 3D geometry, uncovering connections that continue to shape mathematical research.
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For Which Values of n Can You Find an Integer Solution?

Explore a mathematical problem from the 2024 Putnam Competition examining which values of n allow integer solutions, with step-by-step analysis of this intriguing number theory question.
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Wrath of Math
The Game of Mousetrap - Mathematical Analysis and Permutations

Explore the mathematical mysteries behind the simple game of mousetrap, from Cayley's 1800s analysis to permutations, derangements, and modular variations.
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Understanding Grokking - A New Performance Phase in Large Language Models

Discover how extended training of LLMs leads to "grokking" - a breakthrough phase where models develop superior generalization abilities and form geometric patterns in embedding spaces.
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Introduction to Short Division and Modular Congruence

Discover a faster, more efficient alternative to long division through short division techniques and learn to quickly calculate remainders, including solving complex modular congruence problems.
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Explore advanced number theory concepts proving infinitely many primes exist in specific arithmetic progressions like 3n+1, 4n+1, and 4n+3 forms.
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