Mathematics

Mathematics

Mathematicians seek and use patterns to formulate new conjectures. They resolve the truth or falsity of such by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Practical mathematics has been a human activity from as far back as written records exist.

About Mathematics in brief

Summary MathematicsMathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Practical mathematics has been a human activity from as far back as written records exist. Rigorous arguments first appeared in Greek mathematics, most notably in Euclid’s Elements. mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day. mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences. Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory. The history of mathematics can be seen as an ever-increasing series of abstractions. The first abstraction, which is shared by many animals, was probably that of numbers. The most ancient mathematical texts from Mesopotamia and Egypt are from 2000 to 1800 BC. Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof. He developed formulas for calculating the surface area and volume of solids of revolution and used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series.

The Hindu–Arabic numeral system and the rules for the use of its operations, in use throughout the world today, evolved over the course of the first millennium AD in India and were transmitted to the Western world via Islamic mathematics. During the Golden Age of Islam, especially during the 9th and 10th centuries, mathematics saw important innovations building on the Greek achievements of many years earlier. The development of calculus by Newton and Leibniz in the 17th century revolutionized mathematics. Leonhard Euler was the most notable mathematician of the 18th century, contributing numerous discoveries and discoveries to the development of the modern mathematical discipline of calculus. Perhaps the foremost mathematician of 19th century was the German mathematician Friedrich Gaas al-Dīn al-Ṭūsī. He was the first to develop calculus in Western Europe and began to develop at an accelerating pace in the early modern period, at least in the 1800s and 1900s. He is considered to be one of the greatest mathematicians of all time, along with Albert Einstein, Albert Cambridge, and Ernest Cambriani. He also developed the modern definition and approximation of sine and cosine, and an early form of infinite series, and many other notable achievements of the Islamic period such as trigonometry and the addition of the decimal point to the Arabic numal system.