Math

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of abstract objects that consist of either abstractions from nature or—in modern mathematics—purely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to prove properties of objects, a proof consisting of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, and—in case of abstraction from nature—some basic properties that are considered true starting points of the theory under consideration. Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation. Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Other areas are developed independently from any application (and are therefore called pure mathematics) but often later find practical applications. Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements. Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions), until the 16th and 17th centuries, when algebra and infinitesimal calculus were introduced as new fields. Since then, the interaction between mathematical innovations and scientific discoveries has led to a correlated increase in the development of both. At the end of the 19th century, the foundational crisis of mathematics led to the systematization of the axiomatic method, which heralded a dramatic increase in the number of mathematical areas and their fields of application. The contemporary Mathematics Subject Classification lists more than sixty first-level areas of mathematics.

Blue Gorilla Tactics - 2018-10-08T00:00:00.000000Z

Pre Test - 2018-07-20T00:00:00.000000Z

Dharma -Morpheus- Soundtrack - 2016-10-07T00:00:00.000000Z

1999-2011 Electric Pulse Dictionary (Special Edition) - 2012-03-20T00:00:00.000000Z

The Weak and the Wicked - 1970-01-01T00:00:00.000000Z

CIA Via UFO To Mercury - 2006-10-31T00:00:00.000000Z

Men with Boxes - 2001-01-01T00:00:00.000000Z

Briazon - 2024-08-08T00:00:00.000000Z

Coki - 2024-08-05T00:00:00.000000Z

Starrain - 2024-08-02T00:00:00.000000Z

Crowmere - 2022-11-16T00:00:00.000000Z

Nunca Foi Sorte - 2022-01-12T00:00:00.000000Z

Faz o Que Quiser - 2020-12-27T00:00:00.000000Z

Paco Rabanne - 2020-10-10T00:00:00.000000Z

Só Dessa Vez - 2020-05-14T00:00:00.000000Z

Get To - 2020-03-27T00:00:00.000000Z

Abravanel - 2020-01-13T00:00:00.000000Z

Rei do Trap - 2019-12-02T00:00:00.000000Z

Tá Demais - 2019-10-04T00:00:00.000000Z

Rapa Pum Pum - 2019-09-16T00:00:00.000000Z

Regress - 2019-08-27T00:00:00.000000Z

Ligapanois - 2018-02-19T00:00:00.000000Z

Im Back - 2017-12-16T00:00:00.000000Z

Avec toi - 2017-09-01T00:00:00.000000Z

Dark Light - 2017-05-25T00:00:00.000000Z