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Famous Mathematicians

Archimedes

Archimedes was an ancient Greek scholar born in

287 BC in Syracuse, SicilyDied 212 BC Syracuse,

Siily.

During the siege of Syracuse, Archimedes

designed siege machines (flame throwers), which

destroyed a substantial part of the army of the

Roman invaders.

Some historians say Archimedes as one of the

greatest mathematicians in history alongside

Newton, Gauss and Euler. His contributions were

in geometry, mechanics and even considered one of

the pioneers of mathematical analysis.

Until we reach his scientific contributions in

writing, mostly because of Eratosthenes, and Pope

Conon Dosifey.

Mathematics .. It a good approximation of

the number p (223/71 ltp lt22 / 7, 3,1428)

Calculate the surface of parabolic segment and

the volumes of different mathematical bodies.

Examine multiple curves and spirals, one of which

bears his name Archimedean spiral defines

polupravilni polyhedron, called Archimedes'

bodies. For proof perpetuality (top) of the

sequence of natural numbers (also known as the

axiom of Archimedes).

Archimedes was killed by a Roman soldier despite

orders from the Roman general Marcus Claudius

Marcellus not to touch. The spread of the Greeks

legend that Archimedes was cut off while writing

an equation on the sand, thus like to oppose his

elevation to the Roman inefficiency.

Isaac Newton

English scientist, was born on January 4, 1643 In

Ulstorp in Colsterworth, Great Britain. Lived in

England Profession mathematician, physicist,

astronomer, theologian worked at Cambridge

University, Cambridge University Alma Mater. A

discovery of mathematical analysis.

Working on problems of physics, Isaac Newton

opens a mathematical analysis that underlies the

development of science until today.

Newton Physics, complexity sciencein any

complicated formulas wanderbut most scientists

great it does not have a problem that is not

resolved Physics, he loves then called Newton

e thinks with large numbers and solve complex

problems By comets traveling and visit the

planets Stars observed magnets deals but the

story remains and physics as it keywordeveryone

knows it

Leonhard Euler

Born April 15, 1707 In Basel, Switzerland.

Profession mathematician, physicist, astronomer

Worked in the Imperial Academy of Arts and

Sciences, Berlin Academy Alma Mater University of

Basel learn Manager Johann Bernoulli.

Already in his childhood shows great mathematical

talents, he wants his father to study theology.

In 1720 began his studies at Basel University -

Faculty of Philosophy primary ends, then at the

insistence of his father recorded in the

Theological Faculty, which never ends.

Swedish mathematician Leonhard Euler first test

squares in which each symbol appears only once in

each row and each column. He calls them the

"Latin", as used letters of the Latin alphabet in

their analysis. This type of squares are proving

useful in the design of scientific experiments

and are interesting as mathematical objects.

Euler is the author of major discoveries in

various fields of mathematics, the mathematical

analysis to graph theory. He first used a large

part of contemporary inscriptions, most notably

in the field of analysis, including the signs of

function 1 cosine, sine, tangent.

Euler in 1727 was invited to St. Petersburg for

the formation of the local Academy of Sciences.

Where he became professor of physics and

mathematics. But soon he began to develop a

successful shipbuilding, cartography, astronomy,

theory of rows and number theory. in 1735 largely

lost his vision, while monitoring the sun without

adequate protection from residual radiation.

However, unfortunately, Euler continued his

research, relying on his incredible memory and

amazingly accurate calculations, which makes

mind. Euler was the first published systematic

manual elementary mechanics in 1736.

In 1733 in Petersburg, he married Katharina Gzel,

daughter of the director of the Academy of Arts.

They have thirteen children, of whom only survive

three sons and two daughters.

In 1741 Euler left for Berlin, and from 1744 to

1766 was director of the Math section of the

Berlin Academy. In 1759 he performed the post

of president, but receives no official post.

Euler in 1766 decided to return again in St.

Petersburg, where he remained until the end of

his life (18 September 1783). In 1910

published the first complete collected works of

Leonard Euler.

The cover of the Methodus inveniendi lineas curvas

Remarkable constants in mathematics This

equality connects one of the most important

constants Neperovoto number imaginary unit

Ludolfovoto number, unit and zero. According to

the famous German mathematician Felix Klein and

teacher gender is one of the most interesting

relationships in mathematics in general. When it

follows the formula, discovered by the great

Leonhard Euler.

Leonhard Euler died on September 18, 1783 Saint

Petersburg Russia

Johann Carl Friedrich Gauss

Gauss was born on April 30, 1777 in Brunswick as

the only son of a poor family. When he was a

little boy he didnt with his exceptional

mathematical abilities. By 1791. Duke of

Brunswick bear the costs of his education. Next

in Göttingen from 1795 to 1798g. and ends in

Helmsted over 1799g. From 1807 until the end of

his days, is a director of the astronomical

observatory and professor at the University of

Göttingen.

Joachim Carl Friedrich Gauss died on February 23,

1855 in Goettingen, Germany

Algorithm Gauss-Newton

- Algorithm Gauss-Newton is a modification of

Newton's method, developed by Carl Friedrich

Gauss to solve the problems for nonlinear least

squares, which seeks a minimum of - where m are given functions f1, ..., fm n

parameter of p1, ..., pn and m n.

Algorithm Gauss-Newton iterative procedure,

which starts with a selected initial value of the

vector p - p0. Pk subsequent approximations are

obtained from where f (f1, ..., fm),

Jf (p) is the matrix of Jacob for f at point p

- Algorithm Gauss-Newton

In practical applications of the reverse matrix

method is not calculated directly, using

dk as calculated by solving the linear system

- Algorithm Gauss-Newton

Mohammed al Horezmi

Mohammed al Horezmi is an Iranian mathematician,

astronomer and geographer. Born at the end of 8

Horezam century, died around 840. Often called

"father of algebra. Bear his name and today's

algorithms. Al Horezmi lives during the

management of the Abbasid Empire during the reign

of caliph Al Mamut, who he entrusts the

management of education. He also sent him on a

scientific expedition in Afghanistan today.

It is believed that Al Horezmi laid the

foundations of algebra and introduces the world

to Indian figures.

His book, algebra and equations is the first of

its kind. Currently, the manuscript of this book

is located in Oxford. After translation of the

book in Latin it became the basis for the

development of algebra in Europe.

Paper algebra and equations "

Prepared by Nehlivan SabriAisun Salieva12-?

class

SOU Zheleznik

- 30.03. 2010
- Stara Zagora
- Bulgaria