Understanding matrices and their role in modern mathematics

Comprendre les matrices et leur rôle en mathématiques modernes

IN BRIEF Definition: Tables of elements organized in rows and columns. Size: A matrix of size m x n has m rows and n columns. Structure: Composed of essential elements such as rows, columns, and properties. Use: Solving problems in linear algebra and modeling. Practical applications: Topology, 2D-3D graphics, robotics. Digital images: Representation of images … Read more

The future of mathematics: what challenges remain to be solved

Le futur des mathématiques : quels défis restent à résoudre

IN BRIEF Interactions between mathematicians and geophysicists on issues such as glacier melt. Applied mathematics as an essential tool for solving complex problems in biology, chemistry, physics, ecology, and economics. The necessity for a growing number of mathematicians to tackle challenges such as climate change and pandemics. Technological advancements, notably artificial intelligence, pose new challenges … Read more

The contributions of ancient civilizations to modern mathematics

Les contributions des civilisations anciennes aux mathématiques modernes

IN BRIEF Ancient Mathematics : From Antiquity to the Present. Babylonian Contributions : Advanced methods for commerce. Egyptians : Use of math for measuring monuments. Mesopotamia : Innovative calculation approaches. Arab-Muslim Civilizations : Hubs of mathematical knowledge in the Middle Ages. Thales of Miletus : Invention of geometry and the beginning of Greek mathematics. African … Read more

Cryptography and its link to modern mathematics

La cryptographie et son lien avec les mathématiques modernes

IN BRIEF Modern cryptography: Securing transactions and generating trust. Mathematical problems: Utilizing unsolved problems, such as the factorization of large numbers. History: The cryptographic system RSA developed by Ronald Rivest and his colleagues in 1977. Applications: Computer programs derived from cryptographic protocols. Prime numbers: Essential for cryptography research. Encoding function: Encryption keys validated through bijections. … Read more