IN BRIEF Origins : Ancient Greece, works of Euclid. Elements : Major publication of Euclid, serving as a geometric reference for over 2000 years. Axiom : Five fundamental principles form the basis of Euclidean geometry. Pythagorean Theorem : Known to the Babylonians and Egyptians long before Euclid. Evolution : New geometry developed in the 19th … Read more
IN BRIEF Even numbers: integers that are multiples of 2. Odd numbers: integers that are not multiples of 2. A number is even if it ends in 0, 2, 4, 6, or 8. A number is odd if it cannot be divided by 2 without a remainder. The sum of several odd integers: even if … Read more
IN BRIEF Use of mathematics to model complex systems. Neural networks and their mathematical foundations. Statistics to analyze and interpret data. Supervised learning and parameter tuning. Modern theories to predict chaotic phenomena. Applied mathematics in operational research. Influence on education and mathematics teaching. Optimization of learning methods through mathematics. Data security via mathematical approaches. Mathematics … Read more
IN BRIEF Definition of topology: study of properties invariant under continuous deformation. Introduction to topological spaces and the notion of neighborhood. Importance of limits and separation between sets. Basic concepts: normality, opens, and closes. Practical applications in various disciplines. Resources: recommended books and exercises for learning. Topology is a fascinating branch of mathematics that examines … Read more
IN BRIEF Definition of a function: Relationship between two sets with a unique correspondence. Differential calculus: Allows finding the derivative of a function to analyze its slope. Mathematical analysis: Deepens the understanding of continuity and the behavior of functions. Types of graphs: Learning expression through different visual representations. Practical applications: Used in various fields like … Read more
IN BRIEF Mathematics as a universal language Relation with physics, biology, computer science Essential role to understand the world Mathematical logic for decision making Application in research and conferences Universality of mathematics in sciences Importance of theorems and fractals Theory of chaos and its implications In the field of physics, mathematics plays a fundamental role, … Read more