mathematics

Understanding mathematics with concrete examples from everyday life

by
Comprendre les mathématiques avec des exemples concrets du quotidien

IN BRIEF Everyday applications of mathematics in daily activities. Use of probabilities to make informed decisions. The importance of manipulating data with tools like Excel. Examples of daily actions that reinforce mathematical reasoning. Making the learning of mathematics more concrete and accessible. Exploring statistics in managing biases and budgets. Presenting 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 roots of any non-zero polynomial. Rational numbers: Numbers that cannot be expressed as a fraction. Property of being transcendental: Corresponds to the absence of a polynomial with integer coefficients that would annul 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 school to middle school. Focus on multiplication, additions, and geometry. Games like MathSumo and Proof! to enhance mental math. Teaching materials inspired by the Montessori method. Valuing 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 symmetric figures: procedure to obtain the symmetric of a point, segment, or figure. Center of symmetry: a point O if its symmetric is identical to the figure. Geometric transformation: symmetry is an involutive form, preserving parallelism. Applications: symmetry … 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