Marion Lefevre

The mathematical discoveries that changed the course of history

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Les découvertes mathématiques qui ont changé le cours de l’histoire

IN SHORT Fundamental equations that have transformed our understanding of mathematics 100 major discoveries that have influenced the history of mathematics Impact of the Arab-Muslim world on mathematical development Evolution of numbers and calculation systems Contribution of iconic mathematicians throughout various eras Explanatory theorems and their applications over time Mathematical discoveries have always played a … Read more

How mathematics contributes to medicine and biology

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Comment les mathématiques contribuent à la médecine et à la biologie

IN BRIEF Modeling the effects of drugs for a better understanding. Use of applied mathematics in biology and medicine. Importance of predictive models for biomechanics. Bridging medicine and mathematics with applications in medical imaging. Need for simulation in the medical and industrial fields. Role of mathematicians and biologists in advancing research. Impact of new applications … Read more

Scientific notation and its usefulness

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La notation scientifique et son utilité

IN BRIEF Definition of scientific notation: expressing very large or very small numbers. Facilitates comparison and reading of numeric values. Allows determining the order of magnitude of a number by the power of 10. Writing a number in the form of a product of a decimal value and a power of 10. Used for estimates … Read more

How Mathematics Has Influenced Other Scientific Disciplines

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Comment les mathématiques ont influencé les autres disciplines scientifiques

IN BRIEF Interactions between mathematics and physical sciences. Use of statistical analysis in genetics. Relationship of mathematics with human sciences via statistics. Mathematical models in all scientific fields. Mathematics as the foundation of other disciplines. Expansion of the scope of sciences by mathematicians. Examples of practical applications in various industrial sectors. Mathematics plays a central … Read more

Mathematics in global economics and finance

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Les mathématiques dans l'économie et la finance mondiale

IN BRIEF Major impact of mathematics on the economy and finance. High recruitment of mathematicians in the financial sector. Mathematical models for financial risk assessment. Steady interest in mathematical finance since economic crises. Essential mathematical tools for economists. Application of applied mathematics to optimize economic decisions. Role of mathematics in the modernization of financial practices. … Read more

Mathematics Philosophy: Science or Art

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La philosophie des mathématiques : science ou art

IN SHORT Mathematics: a blend of science and art. Philosophy influences the perception of mathematics. Mathematics as thought of structures according to Alain Badiou. Ambiguous relationships between mathematics and philosophy. Creativity and freedom in mathematical processes. Debate on the existence of an infinity in mathematics. Study of crucial theorems and their impact on the world. … Read more

Mathematical advancements in the Middle Ages

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Les avancées mathématiques au Moyen Âge

IN BRIEF Introduction of Arabic numeration in the West during the Middle Ages. Significant inventions such as Indian arithmetic, algebra, and concepts of trigonometry. Stagnation of mathematical knowledge during the High Middle Ages. Works of mathematicians like Abu Al-Wafa, bringing innovative concepts. Dissemination of mathematical texts including The Elements of Euclid and other classical works. … Read more

Mathematical challenges: exercises to boost your skills

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Les défis mathématiques : exercices pour booster vos compétences

IN BRIEF Math Challenges: Test your skills with varied exercises. Strengthen your cognitive abilities through regular practice. Daily exercises over 100 days for consistent improvement. Get tips to solve puzzles quickly. Stimulate your logical reasoning with brain teasers. Integrate educational games to enhance your techniques. Math delusions are much more than just a pastime; they … Read more

Understanding vector spaces and their importance

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Comprendre les espaces vectoriels et leur importance

IN BRIEF Definition: A vector space is a set of objects called vectors. Properties: It must have an internal law of addition and multiplication. Applications: Crucial in linear algebra for solving various scientific and industrial problems. Linear combinations: Allows for the creation of new expressions from existing vectors. Dimensions: Measures the number of independent vectors … Read more

The birth of probability theory

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La naissance de la théorie des probabilités

IN BRIEF Origins of probability theory in games of chance. 1654: Correspondence between Pierre de Fermat and Blaise Pascal marking the beginning of probability calculus. Development of probabilities during the 19th century. Kolmogorov introduced axiomatic in 1933. Abraham de Moivre and his contribution with “The Doctrine of Chances” in 1718. Probability theory was systematized from … Read more