# Mathematics

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January 21, 2022

Mathematics studies topics such as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis). In fact, there is no one-size-fits-all definition of mathematics. Mathematicians are looking for patterns that can be used to formulate new conjectures; They show the correctness or incorrectness of conjectures by mathematical proof. When mathematical structures are good models of real-world phenomena, mathematical reasoning can provide predictions for nature. The science of mathematics was created using abstraction and logic from concepts such as counting, calculating, measuring, and systematically studying the shapes and movements of physical objects. Applied mathematics has existed as a human activity since man learned to write. The research needed to solve math problems can take years or even centuries. Strong arguments first appeared in ancient Greek mathematics; Especially due to the elements of Euclid. Since the research of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on the system of thematic principles in the late nineteenth century, the method of mathematician research has been to formulate mathematical facts from a selection of Gain thematic principles and definitions. The development of mathematics was relatively slow until the Renaissance, when mathematical innovations interacted with scientific discoveries, leading to a rapid increase in the rate of mathematical discoveries, and continue to this day. Mathematics in many fields, such as natural sciences, engineering, and medicine. Economics and social sciences are an essential science. Completely new branches of mathematics have emerged; Like game theory. Mathematicians do research in pure mathematics (the study of mathematics in order to discover as many of its own secrets as possible) without having any practical purpose in mind; While the practical applications of their findings are usually discovered later.