61. Euler, Leonhard 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. Or search the encyclopaedia HUTCHINSON ENCYCLOPEDIA. euler, leonhard.Swiss mathematician. http://www.tiscali.co.uk/reference/encyclopaedia/hutchinson/m0001211.html

HOME Internet Access Broadband Email ... Travel Search the Web: serveAd("REFERENCE.HOME") REFERENCE ENCYCLOPAEDIA Hutchinson's Encyclopaedia Country Facts On This Day ... Wildlife TOOLS Car Insurance Cheap Flights Downloads Email By Phone ... What's On TISCALI About Us Business Services Investor Relations Contact Us Click a letter for the index A B C D ... Z Or search the encyclopaedia: HUTCHINSON ENCYCLOPEDIA Euler, Leonhard Swiss mathematician. He developed the theory of differential equations and the calculus of variations, and worked in astronomy and optics. He also enlarged mathematical notation. Euler developed spherical trigonometry and demonstrated the significance of the coefficients of trigonometric expansions Euler's number (e, as it is now called) has various useful theoretical properties and is used in the summation of particular series. PAGE TOOL BOX Send to a friend Print now Related articles Related offers makeButtonNoSize("REFERENCE.HOME","R2") SITE MAP SERVICE STATUS HELP CONTACT US refreshads("REFERENCE.HOME",1); //refresh ads servePixl("REFERENCE.HOME"); //accipter 1x1 pixel

62. ? Euler, Leonhard ? euler, leonhard (1707.4.15~1783.9.18). http://woosuk.woosuk.ac.kr/~mathedu/mathematics5/mathe067.htm

63. Leonhard Euler euler, leonhard (170783). Mathematician, born in Basel, Switzerland. He is withoutequal in the use of algorithms to solve problems. euler, leonhard (1707-83). http://www.mu.org/~doug/exp/about.html

Euler, Leonhard (1707-83) Mathematician, born in Basel, Switzerland. He studied mathematics there under Jean Bernoulli, and became professor of physics (1731) and then of mathematics (1733) at the St. Petersburg Academy of Sciences. In 1738 he lost the sight of one eye. In 1741 he moved to Berlin as director of mathematics and physics in the Berlin Academy, but returned to St. Petersburg in 1766, soon afterwards losing the sight of his other eye. He was a giant figure in 18th-c mathematics, publishing over 800 different books and papers, on every aspect of pure and applied mathematics, physics and astronomy. His Introductio in analysin infinitorum (1748) and later treatises on differential and integral calculus and algebra remained standard textbooks for a century and his notations, such as e and (pi) have been used ever since. For the princess of Anhalt-Dessau he wrote (1768-72), giving a clear non-technical outline of the main physical theories of the time. He had a prodigious memory, which enabled him to continue mathematical work and to compute complex calculations in his head when he was totally blind. He is without equal in the use of algorithms to solve problems. Euler, Leonhard (1707-83)

64. Zeal.com - United States - New - Library - Sciences - Mathematics - Mathematicia A great resource for United States New - Library - Sciences - Mathematics- Mathematicians - euler, leonhard. euler, leonhard Preview Category, http://www.zeal.com/category/preview.jhtml?cid=540118

65. Euler, Leonhard (1707-1783) -- From Eric Weisstein's World Of Scientific Biograp Similar pages Research Science Math Recreations Specific Numbers e (10). euler leonhard euler(1707-1783) - Biography and Works of the Basle born mathematicien. http://www.astro.virginia.edu/~eww6n/bios/Euler.html

Branch of Science Mathematicians Nationality Swiss Euler, Leonhard (1707-1783) Swiss mathematician who was tutored by Johann Bernoulli . He worked at the Petersburg Academy and Berlin Academy of Science. He had a phenomenal memory, and once did a calculation in his head to settle an argument between students whose computations differed in the fiftieth decimal place. Euler lost sight in his right eye in 1735, and in his left eye in 1766. Nevertheless, aided by his phenomenal memory (and having practiced writing on a large slate when his sight was failing him), he continued to publish his results by dictating them. Euler was the most prolific mathematical writer of all times finding time (even with his 13 children) to publish over 800 papers in his lifetime. He won the Paris Academy Prize 12 times. When asked for an explanation why his memoirs flowed so easily in such huge quantities, Euler is reported to have replied that his pencil seemed to surpass him in intelligence. said of him "He calculated just as men breathe, as eagles sustain themselves in the air" (Beckmann 1971, p. 143; Boyer 1968, p. 482). Euler systematized mathematics by introducing the symbols e i , and f x ) for f a function of x . He also made major contributions in optics, mechanics, electricity, and magnetism. He made significant contributions to the study of differential equations. His

66. EULER, Leonhard: De Summis Serierum Reciprocarum Ex Potestatibus Numerorum Natur Translate this page http://www.bbaw.de/bibliothek/digital/struktur/01-misc/7/jpg-0600/00000186.htm

67. EULER, Leonhard: Determinatio Orbitae Cometae Qui Mense Martio Hujus Anni 1742. Translate this page http://www.bbaw.de/bibliothek/digital/struktur/01-misc/7/jpg-0600/00000008.htm

68. Leonhard Euler And His Mathematics leonhard euler and his Mathematics. Forum, leonhard euler. leonhardeuler, euler Line great diagram, euler Wayne State University. Here http://library.trinity.wa.edu.au/subjects/maths/euler.htm

Trinity College Leonhard Euler and his Mathematics Mathematics Maths- General Links Leonhard Euler The Prime Glossary ... The Prime Glossary some maths Euler's theorem The Prime Glossary some maths Euler School of Mathematics and Statistics University of St Andrews Scotland Leonhard Euler Norfolk Academy Leonhard Euler Mathematical Folks Bellevue Community College Leonhard Euler timeline Leonhard Euler (1707-1783) Virginia Tech Engineering Science and Mechanics some maths Leonhard Euler. Mathpost picture The Beginning of Topology Leonhard Euler and the Bridges of Konigsberg Math Forum Euler's Solution: The Degree of a Vertex The Bridges of Konigsberg ... Euler Line great diagram Euler Wayne State University Here are the bridges in Königsberg that Euler used in his investigation Wayne State University Euler, Leonhard (1707-1783)

69. Biography Of Leonhard Euler Biographies of Mathematicians leonhard euler. Introduction. leonhard euler, fromBasel, Switzerland, was one of the most prolific mathematicians of all time. http://www.andrews.edu/~calkins/math/biograph/199899/bioeuler.htm

Back to the Table of Contents Biographies of Mathematicians - Leonhard Euler This page includes: Introduction Family Königsberg Bridge Problem Conclusion ... Sources Introduction Leonhard Euler, from Basel, Switzerland, was one of the most prolific mathematicians of all time. He was born to Margaret and Reverend Paul Euler on April 15, 1707. Right from the start, his father, who was once a mathematician himself, wanted his son to be in the ministry. As Leonhard chose not to be in the ministry, he made many great advancements in the field of mathematics. Throughout his life, he published over 866 books and articles pertaining to mathematics, theoretical physics, and engineering mechanics. It was once said that "Euler calculated without apparent effort, as men breathe..." Although he was set back by partial blindness in his 20's, and then almost complete blindness in his later life, he was still able to discover some of the most important mathematical works of his time. Family Leonhard was married in Russia on January 7, 1734. He married Katharina Gsell, the daughter of a Swiss painter. Together, they had thirteen children, only five, however, survived infancy. Euler claimed that while holding a baby in his arms, and children playing around his feet, he made some of his best mathematical discoveries. He was sent to a school in Basel. While there, he lived with his grandmother on his mother's side. In 1720, at the age of 14, his father sent him to the University of Basel to prepare for the ministry, but get a general education first. He obtained a Master's Degree in philosophy three years later. He discovered that he was not content with the ministry, but liked mathematics better. He continued studying theology until his teacher, Johann Bernoulli, was able to convince Euler's father to let him study mathematics. Later, in 1727, he attended the Saint Petersburg Academy of Science. In 1730, Leonhard was appointed professor of physics, and three years later he became the professor of mathematics. Leonhard joined the Berlin Academy of Science in 1741. Later in 1744, he became director of the academy's mathematics section.

70. DBLP Leonhard Euler dblp.unitrier.de leonhard euler. List of publications from the DBLP BibliographyServer - FAQ 1985. 1, leonhard euler An Essay on Continued Fractions. http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/e/Euler:Leonhard.html

71. EULER, Leonhard - Www.matematik.dosyasi.com leonhard euler (1707 1803) Isviçre'nin Basel kentinde, matematikçi birailenin oglu olarak Dünya'ya gelen euler, sürekli olarak matematigin http://user.domaindlx.com/matematikdosyasi/matematikciler/euler.htm

MATEMATÝKÇÝLER Leonhard Euler (1707 - 1803) Ýsviçre'nin Basel kentinde, matematikçi bir ailenin oðlu olarak Dünya'ya gelen Euler, sürekli olarak matematiðin konuþulduðu bir ortamda büyümüþtür. Matematiði iyi bilen babasýnýn, yetiþmesinde önemli bir payý olmuþtur. Johann Bernoulli'den dersler almýþ ve Nicoleus Bernoulli, St. Petersburg'a gittiðinde, Euler'i de bereberinde götürmüþtür. Yaþamýnýn önemli bir kýsmý burada geçmiþ ve birçok eserini burada yazmýþtýr. Bir ara Büyük Friedrich'in daveti üzerine Berlin'e gitmiþ ve 1741'den 1766'ya kadar Berlin Akademisi'nde çalýþmýþtýr. 1766'da Çariçe II. Katerina'nýn davetlisi olarak tekrar St. Petersburg'a dönmüþ ve ölünceye kadar orada kalmýþtýr. Euler 1735'de bir gözünü, 1766'da ise diðer gözünü kaybetmesine raðmen, çalýþmalarýný sürdürmüþtür, çünkü olaðanüstü bir belleðe sahip olduðu için, buluþlarýný ara ara yazdýrabilmiþtir. Euler, en çok eser býrakan bilim adamý olarak tanýnýr; hayattayken 530 kitabý ve makalesi çýkmýþ, ölümünden sonra ise elyazmalarýnýn yayýnlanmasýyla bu sayý 771'e çýkmýþtýr. Euler, 18.yüzyýlýn diðer matematikçileri gibi, hem kuramsal hem de uygulamalý konularla ilgilenmiþ ve matematiðin hemen hemen bütün alanlarýna katkýlar yapmýþtýr. 1748'de yayýmladýðý iki ciltlik "Introductio in Analysis Infinitorum"(Sonsuz Küçükler Analizine Giriþ) adlý eserinde, e

72. Leonhard Euler Translate this page e idéias) em uso nas universidades nos dias de hoje, com por exemplo, p , S , i,e e f(x), a base dos logaritmos naturais ou neperianos e (de euler) a, b, e c http://members.tripod.com/alkimia/biografias/leonhard_euler.htm

Físico-matemático suíço nascido em Basiléia, o mais brilhante gênio da matemática pura e aplicada de todos os tempos. De uma família tradicionalmente dedicada à pesquisa científica, filho de um pastor luterano que tinha sido aluno de Jacques Bernoulli , este um matemático de renome à época, mas que preferiria que o filho seguisse a carreira teológica. Estudou matemática com Jean Bernoulli, tornando-se grande amigo dos seus dois filhos Nikolaus e Daniel . Além de matemática também estudou medicina, astronomia, física óptica, teologia e línguas estrangeiras com o pai e outros professores. Por indicação dos irmãos Bernoullis, a convite de Catarina I , que morreria pouco depois, assumiu a área de medicina e fisiologia na Academia de Ciências de São Petersburgo (1727). Antes de ir para a Rússia já havia recebido menção honrosa da Académie des Sciences de Paris (onde ganhou por 12 vezes o cobiçado prêmio bienal) por um ensaio sobre mastros de navio. Com o retorno de Daniel à Suíça, tornou-se o principal professor de matemática da Academia, contribuindo intensamente com o conteúdo e credibilidade da revista matemática da Academia: Commentarii Academiae Scientiarum Imperialis Petropolitanae . Ainda na Rússia casou e teve alguns dos seus treze filhos e perdeu a vista direita (1733), ao que parece por excesso de trabalho ou por um problema neurológico.

73. Euler euler, leonhard. (17071783). http://www.aldebaran.cz/famous/people/Euler_Leonhard.html

Euler, Leonhard Švýcarský matematik, který byl vyuèován Johannem Bernoullim. Pracoval na Akademii v Petrohradu a na Akademii vìd v Berlínì. Mìl úžasnou pamì a jednou rozøešil pøi mezi dvìma studenty, jejichž výsledky nároèného výpoètu se lišily na padesátém desetinném místì tím, že výsledek spoèítal jen tak v hlavì. V roce 1735 Euler oslepl na pravé oko a v roce 1766 i na levé. Ale pøesto podporován svou úžasnou pamìtí (psaní trénoval na velkých tabulích), pokraèoval v publikaci svých výsledkù prostým diktováním. Euler byl nejplodnìjším matematikem všech dob (pøesto, že mìl 13 dìtí). Za svùj život publikoval pøes 800 prací. Dvanáctkrát byl odmìnìn cenou Paøížské akademie. Když se ho ptali na vysvìtlení jeho úžasné plodnosti odvìtil, zdá se, že mé pero je inteligentnìjší než já. François Arago o nìm øekl: "Poèítá stejnì lehce jako èlovìk dýchá nebo orel plachtí vzduchem". Nezávisle na Lagrangeovy nalezl postaèující podmínky pro minimalizaci funkcionálu ve variaèním poètu. Ve fyzice jsou tyto rovnice známy jako Lagrangeovy pohybové rovnice. Jejich výhodou je, že nezávisí na volbì souøadnicového systému.

74. Wissen Unserer Zeit Translate this page Berühmte Personen euler, leonhard. euler, leonhard leonhard euler, geborenam 15. April 1707 in Basel, gestorben am 18. euler, leonhard. http://www.wissen-unserer-zeit.de/themen/biograf/php/eulerleonhard.php

Berühmte Personen Euler, Leonhard Euler, Leonhard Leonhard Euler, geboren am 15. April 1707 in Basel, gestorben am 18. September 1783 in Sankt Petersburg, war einer der produktivsten Mathematiker aller Zeiten und wohl der bedeutendste des 18. Jahrhunderts. Sogar totale Blindheit in den letzten 17 Lebensjahren hinderte ihn nicht daran, noch Manuskripte für Dutzende von Büchern zu diktieren ... Euler, Leonhard

75. Euler,Leonhard euler, leonhard. (17011783). The greatest mathematician of the eighteenthcentury, leonhard euler was born in Basel, Switzerland. http://www.chisholmtrail.com/students/jmorton/html/Tutor1/euler.html

Euler, Leonhard The greatest mathematician of the eighteenth century, Leonhard Euler was born in Basel, Switzerland. There, he studied under anthoer giant of mathematics, Jean Bernoulli . In 1731 Euler became a professor of physics and matematics at St. Petersburg Academy. Euler was prilific matematician of all time, publishing over 800 different books and papers. His influence was felt in physics and astronomy as well Euler's work on mathematical analysis, Itroductio in analysin infintorum (1748) reamined a standard tectbook for well over a century. For the princess of Anhalt-Dessau he wrote (1768-1772), giving a clear non-technical outline of the main physical theories of the time. One can hardly write mathematical equations without copying Euler. Notations still in use today, such e and , Euler's formula: cos(x)+iism=e ix demonstarte the relationship between analysis, trigomentry and imaginary numbers, in one beautiful and elegant equation Leonhard Euler died in 1783, leaving behind a legacy perhaps unmatched, and certainly unsurpassed, in the annals of mathematics Math 89 5: The History of Mathematics

76. EULER Project: Leonhard Euler The euler Project. leonhard euler. leonhard euler. The project isnamed after leonhard euler, 17071783, mathematicorum princeps . http://www.emis.de/projects/EULER/euler.html

Eu ropean L ibraries and E lectronic R esources in Mathematical Sciences The EULER Project Leonhard Euler Leonhard Euler The project is named after Leonhard Euler, 1707-1783, "mathematicorum princeps". Here's a small collection of links with more information on Leonhard Euler and his life. Biographical details are available from www.missouri.edu from www.nadn.navy.mil from www.shu.edu from www.physics.ucla.edu from www.chemie.uni-bremen.de Leonhard Euler appears on the Swiss 10 franc note

77. Department Of Mathematics: The Bridges Of Konigsburg leonhard euler In a 1736 paper which arguably began the field of topology, thegreat Swiss mathematician leonhard euler (17071783) proved that this was http://www.maths.may.ie/images/konig.html

Department of Mathematics NUI Maynooth In a 1736 paper which arguably began the field of topology, the great Swiss mathematician Leonhard Euler (1707-1783) proved that this was impossible. In fact Euler gives a criterion which allows one to quickly determine whether there is a solution for any similar problem with any number of bridges connecting any number of landmasses! Euler first noted that the problem is not changed if we replace the landmasses by vertices (red dots in the diagram) and the bridges by arcs connecting the vertices. We call the resulting assemblage of points and arcs a graph and define the degree of a vertex to be the number of arcs that lead to/from it. Euler proved: Theorem There exists a (at least one) path on a graph which travels along each arc exactly once if and only if the graph has at most two points of odd degree. Such a path on a graph, if it exists, is now called an Euler path The key to the proof of (one direction of) Euler's result is the realisation that if a vertex is not the initial or final vertex of a path and each bridge is only used once, then the number of arcs that are traversed leading to/from that vertex must be even (each time you go through a vertex, you use one arc to get there and another to leave). This also shows that if there are two vertices of odd degree, one must be the initial vertex of the Euler path and the other the final vertex. Incidentally, notice that the number of vertices of odd degree in any graph must be even since the sum of all the degrees is double the number of vertices.

78. Stadtarchiv Schaffhausen: Biographisches Material EULER, Leonhard ( Porträt ) Biographie 1 Biographie m. Porträt. Verfasser Dr. Fueter 1948. http://www.stadtarchiv-schaffhausen.ch/Biographien/167.htm

STADTARCHIV SCHAFFHAUSEN Übersicht EULER, Leonhard Mathematiker; Basel Bilder: 1 Foto von Kupferstich ( Porträt ) Biographie: 1 Biographie m. Porträt. Verfasser: Dr. Fueter 1948. Publikationen: Diverse Vorträge und Zeitungsartikel in der NZZ. Bestandes-Signatur: D I 02.521.04 Bestell-Signatur: 167

79. Porträt-Galerie + PORTRAIT-ANTIQUARIAT KLAUS HILLE / BERLIN + Translate this page euler, leonhard. geb. 1707 in Basel gest. 1783 in St. Petersburg.Mathematiker, Physiker, Astronom. In Petersburg, Berlin. Verlor http://www.portrait-hille.de/kap07/bild.asp?catnr1=1432&seqnr=899

80. Leonhard Euler: Opera Omnia leonhard euler Opera Omnia. leonhard euler, Opera Omnia. Editorial Boardof Series I–III HC Im Hof (Chief Editor) Th. Steiner / GA Tammann. http://www.birkhauser.ch/books/math/euler/

Home Highlights Mathematics Search ... Show shopping cart Leonhard Euler Opera Omnia Edited by the Euler Committee of the Swiss Academy of Science Series prima Series secunda Series tertia Series quarta Leonhard Euler, Opera Omnia H.-C. Im Hof (Chief Editor) Th. Steiner / G.A. Tammann International Editorial Board of Series IV: E.A. Fellmann (Chief Editor) G. Frei / A. Kleinert / Ju. Kh. Kopelevic / G.K. Mikhajlov / Th. Steiner Visit also: The website of the Euler Commission Opera Omnia Complete Sets: Series prima, secunda, tertia (72 Vols.) ISBN 3-7643-1475-3 Series prima. Opera mathematica (29 Vols, 30 parts) ISBN 3-7643-1474-5 Top For volume details see lists of: Series I Opera mathematica (In 29 volumes; 30 volume-parts) Available complete Series II Opera mechanica et astronomica (In 31 volumes; 32 volume-parts) Series III Opera physica, Miscellanea (In 12 volumes) Series IV A. Commercium epistolicum (10 Volumes) info@birkhauser.ch Last update: 04.03.2003

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