Marion Lefevre The theory of knots explores the fascinating universe of closed curves in three dimensions, where each “piece of string” becomes a topological puzzle. These intertwined curves, often imagined as ropes with ends fused together, pose two fundamental questions: can a given knot be untangled into a simple circle, or is it truly knotted? And if … Read more
At the heart of modern mathematics, complex analysis stands out due to its elegance and power. This field explores functions with complex values, enhancing the understanding of differential and integral calculus in two dimensions. Holomorphic functions, which represent a particular category of differentiable complex functions, play a central role. They possess remarkable properties, notably the … Read more
In the midst of excitement in the world of modern mathematics, category theory emerges as a universal language capable of deciphering complex structures and the invisible interrelations between various branches of mathematics. Driven by a powerful abstraction, this discipline transcends traditional frameworks by offering new conceptual tools to understand not only mathematical objects but, above … Read more
IN SHORT Big data requires applied mathematics. Statistics and probabilities are essential for data analysis. Optimization is a key tool for processing data. Understanding algorithms such as Deep Learning is crucial. Data Scientists and Data Engineers must master the concepts of machine learning. Mathematics is at the heart of analytical tools to extract meaningful insights. … Read more
IN BRIEF Commutativity: The order of numbers does not affect the result, both for addition and multiplication. Associativity: The way of grouping numbers does not change the result, for addition and multiplication. Distributivity: Multiplication distributes over addition and subtraction, allowing for simplification of calculations. Neutral element: For addition, this element is 0, and for multiplication, … Read more
IN BRIEF Number line: visual representation of numbers. Association of a number with a specific position. Used to help children progress in arithmetic. Enables understanding of quantities and their order. Units are visualized, making the numbers more accessible. Practical application: placing a number on a graduated number line. Digital tools like Number Line to reinforce … Read more
IN BRIEF Mathematical Optimization: Fundamental strategy for solving complex problems. Searching for solutions that maximize or minimize a specific function. Linear Programming: Essential tool for addressing optimization problems in various fields. Optimization Modeling: Approach to determine the best solution among several options. Zero-One Integer Programming: Optimization technique used in specific contexts. Mathematical Complexity and its … Read more
IN BRIEF Algorithm: a sequence of steps to transform input data into output data. Mathematics and computer science work in symbiosis. An algorithm is essential in computer programming. Structuring the steps to solve a problem. The principles of algorithmics include assertions and a clear objective. Algorithms are fundamental for numerical calculation and applications. Mastering algorithms … Read more
IN BRIEF 200 Math Puzzles for teenagers: logic games and arithmetic problems. Series Math Fanatics: ideal for introducing young children to mathematics. Teaching tools from Pirouette Editions to learn logic and mathematics. Documentaries for 9-13 years: a variety of subjects on math and its magic. Colorful mathematics books, with lessons and explanatory videos. Didacto offers … Read more
IN BRIEF Definition: A percentage expresses a value in relation to 100. Calculation: To obtain a percentage, divide a value by 100 and multiply by the total. Usefulness: Measures variations in fields such as the stock market and unemployment rate. Proportionality: Percentages are cases of proportionality, making comparisons easier. Examples: Calculate a percentage of an … Read more