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The Mathematics Portal

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Mathematics is the study of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations. It evolved through the use of abstraction and logical reasoning, from counting, calculation, measurement, and the systematic study of positions, shapes and motions of physical objects. Mathematicians explore such concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions.

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Leonhard Euler by Emanuel Handmann

Leonhard Euler (pronounced oiler; IPA /ˈɔɪlər/) (April 15, 1707 Basel, Switzerland - September 18, 1783 St Petersburg, Russia) was a Swiss mathematician and physicist. He is considered to be the dominant mathematician of the 18th century and one of the greatest mathematicians of all time; he is certainly among the most prolific, with collected works filling over 70 volumes.

Euler developed many important concepts and proved numerous lasting theorems in diverse areas of mathematics, from calculus to number theory to topology. In the course of this work, he introduced many of modern mathematical terminologies, defining the concept of a function, and its notation, such as sin, cos, and tan for the trigonometric functions.

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Picture of the month

Credit: Inductiveload

The exponential function is one of the most important functions in mathematics. It can be written in the form ex, where e is a mathematical constant, sometimes known as Euler's number.

The exponential function exists for any complex number. Plotted above are the real part (left) and the imaginary part (right) of various values of the exponential function in the complex plane.

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The Mathematics WikiProject is the center for mathematics-related editing on Wikipedia. Join the discussion on the project's talk page.

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Topics in mathematics

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

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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