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Portal:Mathematics

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The Mathematics Portal

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Mathematics is often defined as the study of quantity, structure (pattern), change, and space. Some people call mathematics the study of "figures and numbers," but this is an oversimplification. In the formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation. In the realist view, it is the investigation of objects or concepts that exist independently of our reasoning about them. Other views are described in the philosophy of mathematics article. Due to its applicability in practically every scientific discipline, mathematics has been called "the language of science," "the language of the universe," and "the queen of sciences."

At present, there are approximately 15472 mathematical articles in Wikipedia.

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Article of the week

Problem II.8 in the Arithmetica by Diophantus, annotated with Fermat's comment, which became Fermat's Last Theorem
Fermat's Last Theorem is one of the most famous theorems in the history of mathematics. It states that:
an + bn = cn has no solutions in non-zero integers a, b, and c when n is an integer greater than 2

Despite how closely the problem is related to the Pythagorean theorem, which has infinite solutions and hundreds of proofs, Fermat's subtle variation is much more difficult to prove. Still, the problem itself is easily understood even by schoolchildren, making it all the more frustrating and generating perhaps more incorrect proofs than any other problem in the history of mathematics.

The 17th-century mathematician Pierre de Fermat wrote in 1637 in his copy of Bachet's translation of the famous Arithmetica of Diophantus: "I have a truly marvelous proof of this proposition which this margin is too narrow to contain." However, no correct proof was found for 357 years, until it was finally proven using very deep methods by Andrew Wiles in 1995 (after a failed attempt a year before).

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Picture of the month

Circle map

The circle map is a chaotic map showing a number of interesting chaotic behaviors. This figure shows the average Poincaré recurrence time for the iterated circle map modulo 1.

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Topics in mathematics

General Foundations Number theory Discrete mathematics
Analysis Algebra Geometry and topology Applied mathematics
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Index of mathematics articles

ARTICLE INDEX: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 0-9
MATHEMATICIANS: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
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