IN BRIEF Philosophy and mathematics: a complex connection. Conceptions of infinity throughout history. The Euclidean axioms and their limitations. The debate about the nature of infinity in the real world. Aristotle and the concept of potential infinity. The impact of Descartes‘ reflections on infinity. The first attempts to understand infinity by Zeno. Applications of infinity … 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. Operational research : Integration of concepts in complex systems. Terminology : Kendall-Lee notation and other … Read more
IN BRIEF Optimization of physical and informational flows in the 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 assist in decision-making. Issues and challenges in sectors such as automotive. Emergence of operations 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 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. Essential role … 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 the chances of winning. The role of combinatorial calculations in evaluating options. Examples of modeling related to well-known games. The importance of laws of chance: Failures and successes in games. Specific strategies for games like poker and lottery. … Read more
IN BRIEF Problem-solving: Mathematics helps to find effective solutions. Financial management: Assessment of budgets, calculation of expenses, and management of savings. Decision-making: Statistical calculations allow for informed decisions. Daily calculations: Estimating distances, calculating travel times, etc. Practical applications: Use of math in cooking, DIY projects, and various hobbies. Understanding the world: Mathematics is an integral … Read more
IN BRIEF Mathematical optimization: searching for the best solution among several alternatives. Proven techniques such as the walking 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 application in various fields, including supply chain and optimization under … Read more
IN BRIEF Mathematical puzzles: a fun tool for learning. Development of logic: stimulating activities for the mind. Educational games: foster thought and concentration. Deductive puzzles: train analytical ability. Brain teasers: encourage creativity and problem-solving. Group games: enhance interaction and competitive spirit. Applications and resources: various formats for all ages. Educational software: accessible for working on … Read more