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La mathematics (from the Greek μάθμα, máthema: science, knowledge, learning, μαθ mathematikós: a lover of knowledge) is the discipline that, through deductive reasoning, studies the properties of the abstract entes (numbers, sets, geometric figures, etc.) as well as the relationships that are established between them.

Although mathematics is the so-called "Reina de las Ciencias", it itself is not considered a natural science. Mainly, mathematicians define and investigate abstract structures and concepts for purely internal reasons to mathematics, because such structures can provide, for example, an elegant generalization or a useful tool for frequent or complex calculations, in order to make contributions for the research of natural and applied sciences. In addition, many mathematicians also study their preferred areas simply for aesthetic reasons, thus seeing mathematics as a form of art rather than applied or practical science.

Mathematics are fundamental in natural sciences and engineering, and it finds its applications in them, particularly in Physics.

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The cosine theorem is a generalization of the theorem of Pythagoras applicable in trigonometry, to any type of triangle.

The theorem relates one side of any triangle to the other two and to the cosine of the angle formed by these two sides:

Theorem of the Cosme

Given an ABC triangle, being α, β, γ, angles, and a, b, c, the sides respectively opposite these angles then:

${displaystyle c^{2}=a^{2}+b^{2}-2ab,cos(gamma}$

In most languages, this theorem is known by the name of cosine theoremyet relatively late. In French, however, it bears the name of the Persian mathematician Ghiyath al-Kashi who unified the results of his predecessors.

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The orthocentre, the circumcentre and the varnish of any triangle are contained in a straight line called Euler.
Number 40337956 can be typed as 4⁰-3³+7⁹-5⁶.
All the prime numbers of the form p = 4k+1 can be written as a sum of two squares.

The symbols we use to write the numbers are called Digitos, of the Latin word "digitus", which means " finger".

The Greek mathematician Archimedes said that the numerical system lacks a higher limit, proposing the following: "Think of the greatest number you can imagine. It would be possible to add a 1?" As large as a number, there will always be another greater than him.

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Credit:Pedro Sanchez

Method of building parable: Use of the properties of tangents to build a parable through paper folds.

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Biography

Andréi Kolmogórov (Anidреí Колмогоров) (1903 - 1987) was a Soviet mathematician, a member of the Academy of Sciences of the Soviet Union. He was born on 25 April 1903 in the city of Tambov (Russia). In 1925 he completed his studies at the First University of Moscow-now called Lomonósov State University. In this he began working in 1931, he was head of several academic and dean departments of the Faculty of Mechanics and Mathematics of the same university.

He made important progress in the fields of probability theory and topology. In particular, he built the axiomatic system of probability theory from the set theory. He worked at the beginning of his career in constructivist logic and Fourier series. He also worked on classic turbulence and mechanics. He was also the founder of the theory of algorithmic complexity.

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Mathematical

"Just as the easiest objects to see are not too big or too small, also the easiest ideas in mathematics are not too complex or too simple. »

Bertrand Russell. Mathematic

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Geral General	tn Number theory	Alg Algebra (Portal: Algebra)	Geo Geometry (Portal:Geometry)
Theory of sets Algebra of sets Mathematical relationship Binarian relationship Mathematical Correspondence History of mathematics History of Geometry Mathematics Recreational mathematics Mathematical Logic Paradox Mathematical Philosophy Mathematical Demonstration Mathematical Symbols List of Axioms and Theorems	Arithmetic Number Fundamental Theorem of Arithmetic Percentage Computational arithmetic binary system Goldbach guess Cousin Pascal Triangle Little Fermat Theorem Wilson Theorem More articles...	Polynomial Equation 2nd grade equation Equation system Implication Abstract algebra Group theory Theory of rings Theory of bodies Theory of Galois Switching algebra Algebraic geometry Linear algebra Linear application Vector space Matrix Multilinear algebra More articles...	Affin geometry Analytical geometry Projective geometry Euclidian geometry Non-Euclidian geometry Differential geometry Variety Fiber Dynamic systems Lie Group More articles...

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Calculation Function Limit Continuity Derivative Integral Tensory calculation Vectoral calculation Numerical analysis Complex analysis Functional analysis Space of Banach Prehilbertian space Continuous operation Space of Hilbert More articles...	Topological space Continuous function Fiber Topological groups Algebraic topology Feature of Euler Functor Homotopia groups Groups of homology Homotopia Geometric topology 3- Variety Lusternik-Schnirelmann Category Theory of knots More articles...	Statistical variable Descriptive statistics Arithmetic average Medium Inferential statistics Statistical estimate Exact Confusion factor Statistical sample Sample size Probabilities Expected value More articles...	Combination Theorem of the Binomial Graph theory Grafo Theory of information Theory of games Applied mathematics Financial math Mathematical biology Criptography Theory of the Caos Optimization More articles...

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Geral Numbers	Geometry	Algebra	Geo Data and chance
Number Cousin Fruits Arithmetic Numbering system Suma, subtraction, multiplication and division Percentage Proportion Integer numbers Rational numbers Actual numbers Complex numbers More articles...	Polígonos Circle Theorem of Pythagoras Like Congruence Perimeter, Area and Volume Tales Theorem vector Translation, Rotation and Symmetry Geometric bodies More articles...	Cartesian plan Remarkable outputs Polynomial function Equation First-degree equation 2nd grade equation Equation system Implication Conical Sections More articles...	Descriptive statistics Frequency tables graphics fashion, medium and average quartiles standard variance and deviation Probabilities Pascal Triangle Laplace Act Inferential statistics Random variable More articles...

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↑ Well, Marta and Aaron Alboukrek and others. Little Larousse Illustrated. Seventh Edition. Santafé de Bogotá, Colombia: Ediciones Larousse, 2001. Page 649.

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