DEFINITION •Mathematics relies on both logic and creativity, and it is pursued both for a variety of practical purposes and for its intrinsic interest. •Mathematics came from the Greek word mathema, which means “knowledge/ study/learning.” It is also described as the abstract study of topics encompassing quantity, structure, space, change, and other properties. •Mathematics is coined as the study of arithmetic operations and as a set of tools or a collection of skills that can be applied to questions of “how many” or “how much”. •Mathematics is viewed as a science which involves logical reasoning, drawing conclusions from assumed premises, and strategic reasoning based on accepted rules, laws or probabilities. •Mathematics is a science that draws necessary conclusions. NATURE •Mathematics are related to arts in different ways. The same with art, mathematics is also seen by its hidden beauty. Mathematics can be recognized in arts such as painting, architecture, sculpture music and dance. When making an art, anything about math is also involve including measurements, shape, form and size. •Mathematics is said to be problem- solving tools because it is a means of developing mathematical thinking as a tool for daily living, saying that problem-solving ability lies at the heart of mathematics because it is the means by which mathematics can be applied to various unfamiliar situations. •Mathematics is called the language of science. A system of communication must have vocabulary, grammar and syntax in order to be considered a language. Mathematics meets this definition of a language. Some linguists don’t consider math a language but cite its use as a written rather than spoken form of communication. •Mathematics also defined as the process of thinking. The use of mathematics requires a unique process and this process is called the mathematical thinking process. •Mathematics is the study of patterns. Studying pattern gives opportunity to observe, hypothesize, experiment, discover and create. We can predict what comes next, estimate if the same pattern will occur by understanding regularities based on the data we gather. ******* 1. Hipparchus - Like Geometry, trigonometry chapters are also important for class IX and X students. The founder of trigonometry was an intelligent mathematician and mythologist Hipparchus. He discovered the first trigonometric table in mathematics. He was the first person to develop a well-grounded process by which people can predict solar eclipses. 2.Archimedes - Archimedes was a Greek Scientist, a great mathematician, and a Physician. He also worked his entire life in search of discovering mathematical formulas that are related to Physics. The best contribution of Archimedes in mathematics is known as the invention of compound pulleys, antiquity, and screw pump. Students of class X have to study these chapters of compound pulleys and antiquity. 3.Diophantus - His algebraic equations are quite easy and unique, so he was popularly known as the ‘Father of Algebra.’ He wrote a series of books on Algebra. He later gained popularity for his book Arithmetica, where a brief description with examples was given on the best solution for all the algebraic equations and the theory related to the number. 4.Antiphon - Antiphon discovered the value of Pi. This renowned mathematician was the first one who calculated the upper bound and lowers bound values of Pi by inscribing and circumscribing around a circle, the polygon, and processed finally to calculate the areas of the polygon. His idea of calculating a polygon area became very famous, and it changed mathematics for the world. 5.Diocles - Diocles was a profound geometer and mathematician. He was renowned for his discovery in the subdivision of geometry. In the books of Mathematics, the ‘Geometry curve’ is known by his name as the ‘Cissoid of Diocles.’ To find out a solution to doubling the cube, the method of Cissoid of Diocles was used. REFERENCE : 15 Famous Mathematicians and Their Contributions. (n.d.-b). Cuemath. Retrieved September 13, 2022, from https://www.cuemath.com/learn/famous-mathematicians/