Definition: An abstract representational system used in the study of numbers, shapes, structure, change and the relationships between these concepts.

Alright class, settle down, let’s take a look, At ‘Mathematics,’ a word we need to cook! The dictionary gives us quite a plea, “An abstract representational system, you see!” Let's break it down with a rhythmic flow, To really grasp what this subject does know. "Abstract” means not concrete and real, Like ideas and thoughts – how knowledge we feel! It’s beyond just counting, a deeper design, Exploring concepts that truly shine. “Representational” – let's give it a try, It shows us things with symbols passing by! Numbers and letters, diagrams too, A way to picture what’s coming through. Then we have "numbers," big and small you see, From one to infinity, wild and free! And “shapes” like circles, squares, and more, Exploring geometry – that's what it’s for! “Structure” is patterns, a logical key, How things are arranged for all to agree. Like building blocks or a mathematical art, A beautiful order, right from the start! "Change” means movement, growth and flow, Equations evolving, watch them grow! From simple sums to complex design, Mathematics tracks how things align. And finally, “relationships” , that's the key, How these concepts connect for you and me! Like adding and subtracting, a linked embrace, Finding connections in time and space! So, Mathematics isn’t just about the sum, It’s about understanding – where problems become A puzzle to solve, with logic and grace, Exploring the world at its own pace! Do you have any questions? Let's discuss it now, To truly understand this amazing vow!

Definition: In the realm of English language, "mathematics" encompasses a broad range of subjects that deal with numbers, patterns, shapes, and relationships. However, the word "mathematical" can be used to describe a specific field of study or method of analysis in mathematics. In general, mathematical methods are used to systematically derive new knowledge from existing information or observations. The term "mathematical" is often associated with mathematical theory, which includes areas such as algebra, calculus, and differential equations. The word itself derives from the Greek μάθημα (máthēma), which means study, investigation, or inquiry. Here are a few examples of how this concept can be used in mathematics: - In the field of physics, mathematical methods are used to solve problems that require solving for quantities such as velocity, energy, and momentum. This is done through the use of calculus, which involves the integration of functions to find relationships between variables. - In computer science, mathematical concepts such as algorithms, data structures, and programming languages are used to describe and understand algorithms and problem-solving methods. These can be applied in various domains, including engineering, finance, and artificial intelligence. In summary, "mathematical" is a broad term that encompasses a wide range of topics and methodologies related to mathematics. It can refer to specific subfields within mathematics or to the entire field of mathematics as a whole.

mathematics, mathematical