Marion Lefevre 
IN BRIEF Philosophy and mathematics: a complex connection. Conceptions of infinity throughout history. The Euclidean axioms and their limitations. The debate on the nature of infinity in the real world. Aristotle and the concept of potential infinity. Impact of Descartes’ reflections on infinity. The early attempts to understand infinity by Zeno. Applications of infinity in … Read more
IN BRIEF Definition: Study of queue management systems. Application areas: Use in various industrial sectors. Analytical models: Based on probability techniques. Objective: Optimize management and flow of customers. Queue systems: Analysis of behaviors and performances. Operations research: Integration of concepts into complex systems. Terminology: Kendall-Lee notation and other methods. The queueing theory is a field … Read more
IN SHORT Optimization of physical and informational flows in industry. Significant contribution to logistics and competitiveness. Application of applied mathematics for predictive models. Key role in addressing industrial problems. Use of artificial intelligence to improve processes. Conceptual models to aid in decision making. Issues and challenges in sectors such as automotive. Emergence of operational research … Read more
IN BRIEF Trigonometry: an essential tool for navigation and astronomy. Used to calculate distances between celestial bodies. Foundation of triangulation techniques in maritime and aerial navigation. Helps to predict movements of planets and satellites. Role in the design of astronomical instruments. Importance for studying trajectories in space. Useful for mapping and modern navigation. Practical applications … Read more
IN BRIEF Prime number: a natural integer that is divided only by 1 and itself. Examples of prime numbers: 2, 3, 5, 7, 11, 13. Importance in arithmetic: every number is uniquely decomposed into products of prime numbers. Cryptography: prime numbers ensure the security of online data. Historical developments, notably by Eratosthenes and his sieve. … Read more
IN BRIEF Multiples : product of a number and an integer. Example : 6 multiplied by 8 gives 48. Divisors : numbers that can divide another without a remainder. Relation : if a is a multiple of b, then b is a divisor of a. Prime numbers : only two divisors, 1 and itself. Examples … Read more
IN BRIEF Probabilities and games of chance: Introduction to the basic concepts. Calculating probabilities: Strategies to increase your chances of winning. The role of combinatorial calculation in assessing options. Examples of modeling related to well-known games. The importance of laws of chance: Failures and successes in gaming. Specific strategies for games like poker and lottery. … Read more
IN SHORT Problem-solving: Mathematics helps find effective solutions. Financial management: Budgeting, calculating expenses, and managing savings. Decision-making: Statistical calculations allow for informed decisions. Daily calculations: Estimating distances, calculating travel times, etc. Practical applications: Using math in cooking, DIY, and various hobbies. Understanding the world: Mathematics is an integral part of sciences and our daily lives. … Read more
IN BRIEF Mathematical optimization: searching for the best solution among several alternatives. Proven techniques such as the lazy line to reduce the number of vertex evaluations. Importance of modeling to transform complex problems into linear analyses. Metaheuristic algorithms simplify the resolution of optimization problems. Practical applications in various fields, including supply chain and optimization under … Read more
IN SHORT Mathematical puzzles: a playful tool for learning. Development of logic: stimulating activities for the mind. Educational games: foster reflection and concentration. Deductive riddles: train analytical skills. Puzzles: promote creativity and problem-solving. Group games: strengthen interaction and competitive spirit. Applications and resources: various formats for all ages. Educational software: accessible for working on algorithmic … Read more