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Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature or—in modern mathematics—entities that are stipulated to have certain properties, called axioms. A proof consists 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 from 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. The problem of integer factorization, for example, which goes back to Euclid in 300 BC, had no practical application before its use in the RSA cryptosystem, now widely used for the security of computer networks.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 60 firstlevel areas of mathematics. Source: Wikipedia (en)
Works about mathematics 107

Matheuses

Newton kagaku meicho zukan

Quantum  Un peu de mathématiques pour l'informatique quantique

Cyfri'r Cewri

Simplified Approach to Nursery Mathematics

FUNdamental Mathematics

Mathematikos : vies et découvertes des mathématiciens en Grèce et à Rome

Book of Proof

How to Bake Pi

The Simpsons and Their Mathematical Secrets

The Great Mathematical Problems

The Mathematics of Life

C'è spazio per tutti

The Annotated Turing

Maths at work

Gyldendals formelsamling i matematikk

Math Girls

Why Beauty Is Truth: A History of Symmetry

Mathematical Omnibus

How High Can a Dinosaur Count? And Other Math Mysteries

Encyclopedia of Mathematics

God Created the Integers

Concise Encyclopedia of Supersymmetry and Noncommutative Structures in Mathematics and Physics

The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes

Prime Obsession

CRC Concise Encyclopedia of Mathematics

The Millennium Problems

A very short introduction to mathematics

Elemente der Mathematik

The Mathematical Century

Metric Structures for Riemannian and NonRiemannian Spaces

The Parrot's Theorem
Works about mathematics 1
Works about mathematics 1
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