mathematics

Understand mathematics with concrete examples from everyday life

by
Comprendre les mathématiques avec des exemples concrets du quotidien

IN BRIEF Everyday applications of mathematics in regular activities. Using probabilities to make informed decisions. The importance of manipulating data with tools like Excel. Examples of daily actions that enhance mathematical reasoning. Making the learning of mathematics more concrete and accessible. Exploring statistics in managing biases and budgets. Presentation of projects that integrate mathematics into … Read more

Transcendental numbers and their properties

by
Les nombres transcendants et leurs propriétés

IN BRIEF Transcendental numbers: Numbers that are not the root of any non-zero polynomial. Irrational numbers: Numbers that cannot be expressed as a fraction. Property of being transcendental: Corresponds to the absence of a polynomial with integer coefficients that cancels it. Notable examples: π and e are common examples of transcendental numbers. Algebraic numbers: Contrast … Read more

Educational board games based on mathematics

by
Jeux de société éducatifs basés sur les mathématiques

IN BRIEF Educational games to learn mathematics in a fun way. Options for all ages, from elementary to middle school. Focus on multiplication, addition, and geometry. Games like MathSumo and Proof! to improve mental math. Teaching materials inspired by the Montessori method. Emphasis on learning through play in the classroom or at home. Board games … Read more

The study of mathematical symmetries

by
L'étude des symétries mathématiques

IN BRIEF Central symmetry: transformation around a point, preserving the properties of the original figure. Construction of symmetricals: procedure to obtain the symmetrical of a point, a segment, or a figure. Center of symmetry: a point O if its symmetrical is identical to the figure. Geometric transformation: symmetry is an involutive form, preserving parallelism. Applications: … Read more

The best podcasts to learn mathematics

by
Les meilleurs podcasts pour apprendre les mathématiques

IN SHORT Listen to podcasts to discover mathematics in a different way. The best podcasts include: Maths en tête, L’oreille mathématique. Popularization of mathematics by renowned experts. Diverse themes: from combinatorics to theoretical physics. Educational shows in line with school curricula. Learning opportunities while having fun through games and interactions. Podcasts can be 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 the existence of God through mathematics Applied mathematics to spirituality and religious practices Debates around ontological proofs by Gödel The impact of mathematics in religious cultures, especially in Islam Mathematical theorems and their influence on religious thought … Read more

The futuristic visions of mathematics in the service of humanity

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

IN SHORT Mathematics as a forecasting tool for various sectors. Challenges posed by machines and artificial intelligence. The importance of collaborative work between scientific disciplines. Essential role of mathematical models in societal understanding. The debate around 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, verifying associativity and possessing a neutral element. Rings: A set with two internal operations, addition and multiplication, complying with certain algebraic properties. Fields: A commutative ring where every non-zero element has a multiplicative inverse. Algebraic structures: Fundamental in mathematics, they form the basis … Read more

Understanding famous paradoxes in mathematics

by
Comprendre les paradoxes célèbres en mathématiques

IN BRIEF Zenon’s Paradox: Achilles and the tortoise illustrates infinity. 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 Puzzle: Raises questions about addition. Ellsberg’s Paradox: Reveals irregularities in probability choices. Hilbert’s Hotel: Exposes the properties of infinity. Goodstein’s … Read more

Complex analysis: introduction to imaginary numbers

by
Analyse complexe : introduction aux nombres imaginaires

IN BRIEF Complex analysis: field 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