Mathematics

Mathematical models for predicting climate and weather

by
Les modèles mathématiques pour prévoir le climat et la météo

IN BRIEF Climate Models: Digital representations of the climate system. Nonlinear Dynamic Systems: Underlying mathematics of the models. Differential Equations: Used to model climate phenomena. Climate Change: Data analysis to understand climate evolution. Temperature, Wind, and Precipitation: Observed phenomena to refine forecasts. Data Engineering: Combination of information for accurate predictions. Forecast History: Evolution of methods … Read more

Introduction to mathematical logic and its principles

by
Introduction à la logique mathématique et ses principes

IN BRIEF Presentation of mathematical logic. Introduction to logical connectors: ¬, ∧, ∨, ⇒, and ⇔. Description of propositions and their value: true or false. Classic statement: example of logical reasoning with Socrates. Distinction between formal logic, material logic, and inductive logic. Importance of symbols and principles in formal proofs. Exploration of the fundamental principles … Read more

The best podcasts for learning mathematics

by
Les meilleurs podcasts pour apprendre les mathématiques

IN BRIEF Listen to podcasts to discover mathematics in a different way. The best podcasts include: Maths on the Brain, The Mathematical Ear. Popularization of mathematics by renowned experts. Diverse themes: from combinatorics to theoretical physics. Educational programs aligned with school curricula. Learning opportunities while having fun through games and interactions. Podcasts are an excellent … Read more

Mathematics in religions and beliefs

by
Les mathématiques dans les religions et les croyances

IN BRIEF Mathematics and religion: A fascinating link Do beliefs influence the perception of mathematics? The question of God’s existence through mathematics Applied mathematics to spirituality and religious practices Debates around ontological proofs by Gödel Impact of mathematics in religious cultures, especially in Islam Mathematical theorems and their influence on religious thought Mathematics: A universal … Read more

The futuristic visions of mathematics serving humanity

by
Les visions futuristes des mathématiques au service de l’humanité

IN BRIEF Mathematics as a predictive tool for various sectors. Challenges posed by machines and artificial intelligence. The importance of collaborative work among scientific disciplines. Essential role of mathematical models in societal understanding. The debate surrounding mathematics: human invention or universal discovery. Celebration of the International Day of Mathematics. Exploration of fractals and chaos theory. … Read more

Algebraic structures: groups, rings, and fields

by
Les structures algébriques : groupes, anneaux et corps

IN BRIEF Groups: A non-empty set equipped with an internal composition law that satisfies associativity and has an identity element. Rings: A set with two internal operations, addition and multiplication, that adhere to certain algebraic properties. Fields: A commutative ring in which every non-zero element has a multiplicative inverse. Algebraic structures: Fundamental in mathematics, they … Read more

Understanding famous paradoxes in mathematics

by
Comprendre les paradoxes célèbres en mathématiques

IN BRIEF Zeno’s Paradox: Achilles and the tortoise illustrate the infinite. Russell’s Paradox: Highlights logical contradictions. The Liar Paradox: A statement that contradicts itself. The Barber Paradox: A classic example of paradoxical logic. The Missing Dollar Riddle: Raises questions about addition. Ellsberg’s Paradox: Reveals irregularities in probability choices. Hilbert’s Hotel: Exposes the properties of the … Read more

Complex analysis: introduction to imaginary numbers

by
Analyse complexe : introduction aux nombres imaginaires

IN BRIEF Complex analysis: area of study of complex numbers. Definition of a complex number: z = a + bi with a and b real, i imaginary unit. Visualization of complex numbers in the plane with coordinates. Operations on complex numbers: addition, subtraction, multiplication, etc. Basic concepts related to imaginary numbers and their importance in … Read more

Introduction to differential and integral calculus: key concepts

by
Introduction au calcul différentiel et intégral : concepts clés

IN BRIEF Differential calculus: study of derivatives to measure the change of a function. Integral calculus: understanding the notion of integral to determine areas under curves. For each function, it is possible to calculate derivatives and integrals using basic techniques. Geometric concepts such as areas, perimeters, and volumes are essential. The history of differential and … Read more

The mathematics behind numerical simulations

by
Les mathématiques derrière les simulations numériques

IN BRIEF Numerical simulations: computational processes on a computer to model physical realities. Mathematical modeling: construction of models to represent complex systems. Mathematical analysis: evaluation and interpretation of the results of simulations. Practical applications: use in various fields, including pandemic and engineering. Technological evolution: computing transforms and enhances the approach to applied mathematics. Numerical models: … Read more