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Topic: Euler

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Leonhard Euler

Euler characteristic

Euler angles

Euler Mascheroni constant

Euler equations

Euler Lagrange equations

Euler numbers

Euler Maclaurin formula

Euler product

Euler Jacobi pseudoprime

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	Leonhard Euler - Wikipedia, the free encyclopedia
		Leonhard Euler was born in Basel, Switzerland, the son of Paul Euler, a Lutheran minister.
		In 1727 Euler was called to St. Petersburg by Catherine I of Russia and became professor of physics in 1730, with an additional mathematics appointment in 1733.
		Euler wrote Tentamen novae theoriae musicae in 1739 which was an attempt to combine mathematics and music; a biography comments that the work was "for musicians too advanced in its mathematics and for mathematicians too musical".
	en.wikipedia.org /wiki/Leonhard_Euler (1443 words)

	EULER - LoveToKnow Article on EULER (Site not responding. Last check: 2007-10-21)
		Having taken his degree as master of arts in I 723, Euler applied himself, at his fathers desire, to the study of theology and the Oriental languages with the view of entering the church, but, with his fathers consent, he soon returned to geometry as his principal pursuit.
		In 1755 Euler had been elected a foreign member of the Academy of Sciences at Paris, and some time afterwards the academical prize was adjudged to three of his memoirs Concerning the Inequalities -in the Motions of the Planets.
		Eulers knowledge was more general than might have been expected in one who had pursued with such unremitting ardour mathematics and astronomy as his favorite studies.
	38.1911encyclopedia.org /E/EU/EULER.htm (3018 words)

	Leonhard Euler Biography
		Euler was born in Switzerland, in the town of Basel, on the 15th of April 1707, in the family of a pastor.
		When Euler returned to Petersburg with his two elder sons they were given a two-storey house on the banks of the Neva and Euler given a position at the head of the Academy of Sciences.
		Euler took a very active role in the observation of the movement of Venus across the face of the sun, despite the fact that at this time he was nearly blind.
	www.pdmi.ras.ru /EIMI/EulerBio.html (836 words)

	Leonard Euler
		Euler wanted to return to a position in western Europe, but the frequent arrival of children held him where he was.
		Euler had always had an outstanding memory and could do enormous calculations in his head, so he prepared for the coming blindness by learning to write formulas on a slate and to dictate mathematics to a son or secretary.
		Euler made fundamental contributions to several areas of science including fluid dynamics, lunar orbit theory (tides), mechanics and "the mathematical theory of investment" (insurance, annuities, pensions), as well as to essentially all of the areas of mathematics which existed at that time.
	scidiv.bcc.ctc.edu /Math/Euler.html (782 words)

	Euler
		Euler wrote an article on acoustics, which went on to become a classic, in his bid for selection to the post but he was not chosen to go forward to the stage where lots were drawn to make the final decision on who would fill the chair.
		Euler became professor of physics at the Academy in 1730 and, since this allowed him to become a full member of the Academy, he was able to give up his Russian navy post.
		Euler was also helped by two other members of the Academy, W L Krafft and A J Lexell, and the young mathematician N Fuss who was invited to the Academy from Switzerland in 1772.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Euler.html (4046 words)

	Leonhard Euler (1707 - 1783)
		I think we may sum up Euler's work by saying that he created a good deal of analysis, and revised almost all the branches of pure mathematics which were then known, filling up the details, adding proofs, and arranging the whole in a consistent form.
		Euler commenced this part by dividing curves into algebraical and transcendental, and established a variety of propositions which are true for all algebraical curves.
		This method is not convenient, but it was from Euler's results that Mayer constructed the lunar tables for which his widow in 1770 received 5000 pounds from the English parliament, and in recognition of Euler's services a sum of 300 pounds was also voted as an honorarium to him.
	www.maths.tcd.ie /pub/HistMath/People/Euler/RouseBall/RB_Euler.html (1819 words)

	LEONHARD EULER (Site not responding. Last check: 2007-10-21)
		Leonhard Euler (1707-1783) was arguably the greatest mathematician of the eighteenth century (His closest competitor for that title is Lagrange) and one of the most prolific of all time; his publication list of 886 papers and books may be exceeded only by Paul Erdös.
		But there is another "Euler's formula" that (to use the modern terminology adopted long after Euler's death) gives the values of the Riemann zeta function at positive even integers in terms of Bernoulli numbers.
		Euler's study of the bridges of Königsberg can be seen as the beginning of combinatorial topology (which is why the Euler characteristic bears his name).
	www.usna.edu /Users/math/meh/euler.html (402 words)

	The Prime Glossary: Leonhard Euler (Site not responding. Last check: 2007-10-21)
		Leonhard Euler (pronounced OY luhr) was a Swiss mathematician who lived between 1707 and 1783.
		Euler was born in Basel, Switzerland and was famous for his exceptional output of original mathematics covering a wide range of subjects.
		Besides his many contributions to number theory, Euler made significant contributions to the areas of calculus, geometry, algebra, probability, acoustics, optics, mechanics, astronomy, artillery, navigation, statistics, and finance.
	primes.utm.edu /glossary/page.php?sort=Euler (75 words)

	Euler's Contribution To Number Theory (Site not responding. Last check: 2007-10-21)
		Euler was the son of a Lutheran minister and entered the University of Basel to study theology like his father but opted to change his major to mathematics under the advice of Johann Bernoulli.
		Although blind, Euler had such an incredible memory and mathematical mind, he was able to dictate treatises on algebra, optics, and lunar motion until his death.
		Euler found that the fifth Fermat number, 4294967297, is divisible by 641.
	sweb.uky.edu /~jrbail01/euler.htm (1273 words)

	OS/2 e-Zine - The Best OS/2 Reading Anywhere!
		Euler is specifically not a Matlab clone, but the commands and syntax are similar, if not identical, in many ways.
		Euler can also handle more complicated types like contour plots, 2-D density plots (where the density is coded in colour) and this vector field graph.
		Euler is completely open-source, released under GPL, so it would be great to have someone take over and keep the OS/2 version up to date.
	www.os2ezine.com /20030916/page_3.html (1238 words)

	Leonhard Euler - Wikipedia, the free encyclopedia
		Leonhard Euler aged 49 (oil painting by Emanuel Handmann, 1756)
		An Euler circuit has all its points of even degree.
		An Euler path has exactly two odd vertices.
	en.wikipedia.org /wiki/Euler (1443 words)

	10.9. Euler, Leonard (1707-1783) (Site not responding. Last check: 2007-10-21)
		Leonhard Euler was one of top mathematicians of the eighteenth century and the greatest mathematician to come out of Switzerland.
		Leonhard Euler was born in Basel, Switzerland, on April 15, 1707.
		Euler took up a position at the Academy of Sciences in St. Petersburg, Russia, in 1727 and became the professor of mathematics six years later.
	web01.shu.edu /projects/reals/history/euler.html (906 words)

	Euler, Leonhard -- Encyclopædia Britannica
		This number, given by C = V - E + F, is the same for all figures the boundaries of which are composed of the same number of connected pieces...
		Euler was the most prolific mathematician ever—and one of the most influential—and when he turned his attention to number theory, the subject could no longer be ignored.
		The Swiss mathematician and physicist Leonhard Euler not only made important contributions to the subjects of geometry, calculus, mechanics, and number theory but also developed methods for solving problems in observa- tional astronomy.
	www.britannica.com /eb/article-9033216 (739 words)

	Leonhard Euler
		Euler was the most prolific mathematician who ever lived; his collected works run to more than seventy volumes.
		He contributed to numerous areas of both pure and applied mathematics, including the calculus of variations, analysis, number theory, algebra, geometry, trigonometry, analytical mechanics, hydrodynamics, and the lunar theory (calculation of the motion of the moon).
		Euler was one of the first to develop the methods of the
	www.infoplease.com /ce6/people/A0817838.html (308 words)

	Welcome to Euler
		EULER is a program for quickly and interactively computing with real and complex numbers and matrices, or with intervals, in the style of MatLab, Octave,...
		EULER can read these data form the file and produce plots of these data, fit polynomials to it, do further computations etc.
		EULER is an ideal tool for the tasks such as:
	euler.sourceforge.net (295 words)

	Euler's Formula
		This page lists proofs of the Euler formula: for any convex polyhedron, the number of vertices and faces together is exactly two more than the number of edges.
		According to Malkevitch, this formula was discovered in around 1750 by Euler, and first proven by Legendre in 1794.
		Perhaps there is a proof of Euler's formula that uses these polynomials directly rather than merely translating one of the inductions into polynomial form.
	www.ics.uci.edu /~eppstein/junkyard/euler (615 words)

	LEONHARD EULER (Site not responding. Last check: 2007-10-21)
		Euler's contribution to mathematics is represented here by a few of the notations conventionalized by him or in his honor.
		Euler grew up near Basel, Switzerland, and studied at an early age under Johann Bernoulli.
		From 1727 to 1741, Euler worked in St. Perersburg, Russia, and then moved to the Akademie in Berlin.
	faculty.evansville.edu /ck6/bstud/euler.html (331 words)

	Euler, Leonhard. (Site not responding. Last check: 2007-10-21)
		Through the intercession of Bernoulli, Euler obtained his father's consent to change his major to mathematics.
		In 1755 he was elected a foreign member of the Paris Academy of Science; during his career he received 12 of its prestigious biennial prizes.
		In Russia, Euler became almost entirely blind after a cataract operation, but was able to continue with his research and writing.
	euler.ciens.ucv.ve /English/mathematics/euler.html (576 words)

	Hotel Euler - About this hotel
		Built by Abraham Euler-Brunner in immediate vicinity of the new Basel Railway Station in 1865, the Hotel Euler has seen the rise of a new area and stood noble and strong through the ups and downs of history.
		Although its guests may feel that time has stood still at the Euler, giving it the homely appeal of a place where things seem to happen with more thought and care than in our fast living days.
		The Euler is one of Switzerland's leading establishments with a worldwide reputation as a hotel of the highest standards.
	www.hoteleuler.ch (219 words)

	The EULER Metadata Set
		Some of them are more relevant for the EULER project (and might be used as search help, e.g.
		Format may be used to determine the software, hardware or other equipment needed to display or operate the resource.
		The reason for applying this EULER-invented sub-field is that the end-user should be able to conclude if the resource described in the bibliographic record (displayed in the hitlist) is available online or not.
	www.schemas-forum.org /registry/schemas/EULER (752 words)

	EULER, a free three-dimensional implicit unstructured finite volume solver (Site not responding. Last check: 2007-10-21)
		A free finite volume solver for 1D, quasi-1D, 2D, 3D and axi- symmetric 3D compressible Euler equations on unstructured meshes using higher-order implicit adaptive ODE solvers for time integration.
		Description: The C++ research code EULER is designed for the efficient and precise finite volume solution of 1D, quasi-1D, 2D, 3D and axi-symmetric 3D compressible Euler equations (describing the motion of inviscid compressible flows - gases etc.) by precise ODE solvers.
		Solin: Three-Dimensonal Euler Equations and Their Numerical Solution by the Finite Volume Method, Moving Particle Scheme for Grid Generation, Faculty of Mathematics and Physics, Charles University Prague, 1996.
	www.iee.cas.cz /staff/solin/euler (378 words)

	Euler Angles are Evil.
		When you store rotation as Euler angles, there can be tiny amounts of roundoff error - if you change heading by 0.1 degrees for 3600 frames, the resulting net heading won't quite be zero.
		However, care has to be taken since the step of converting a matrix back into Euler angles results in some 'unknown' values at some orientations.
		In addition to Euler Angler representations and the Matrix representation, there is a third useful way to represent rotation.
	sjbaker.org /steve/omniv/eulers_are_evil.html (1438 words)

	EULER Project Homepage (Site not responding. Last check: 2007-10-21)
		The EULER project (EUropean Libraries and Electronic Resources in Mathematical Sciences), was successfully completed in september 2000.
		The EULER service provides you with a one-stop-shop in your search for mathematical resources such as books, pre-prints, web-pages, abstracts, proceedings, serials, technical reports and thesis.
		With the completion of the project the intention is that a Consortium will take over and adapt EULER to a fully fledged service.
	euler.lub.lu.se (266 words)

	Euler - Numerical Programming (Site not responding. Last check: 2007-10-21)
		Euler is a powerful numerical laboratory with a programming language.
		All versions are freeware and open source under the GNU general license.
		Euler is not a MatLab clone, but similar to this program.
	mathsrv.ku-eichstaett.de /MGF/homes/grothman/euler/euler.html (75 words)

	mathschallenge.net (Site not responding. Last check: 2007-10-21)
		Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve.
		Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems.
		However, you will only be able to gain access to the thread once you have solved the problem.
	mathschallenge.net /index.php?section=project (404 words)

	Euler proof mechanism
		Euler is an inference engine supporting logic based proofs.
		FYI euler -prover9 gedcom-relations.n3 gedcom-facts.n3 rpo-rules.n3 gedcom.in.n3 > gedcom.out.n3
		The proof engine uses the resolution inference mechanism and only follows Euler paths (the concept Euler found several hundred years ago) so that endless deductions are avoided.
	www.agfa.com /w3c/euler (290 words)

	Euler
		Euler - Program for computing with real and complex numbers and matrices
		This the GTK port of Euler, a program for quicky and interactvely computing with real and complex numbers and matrices.
		Please consider donating to the FSF to help support this project.
	directory.fsf.org /all/euler.html (253 words)

	Euler's Formula
		The beautiful and perhaps mysterious formula of Euler which is the subject of this section is
		Our rules of arithmetic have only told us how to extend addition and multiplication from the real numbers to the complex numbers.
		We will eventually give a complete and airtight answer to these questions in the section on complex functions(link), but we can get acquainted with Euler's formula and strip away some of its mystery by extrapolating a few simple properties of the real function
	www.sosmath.com /complex/number/eulerformula/eulerformula.html (333 words)

	All About EULER
		Modernized access point to EULER in test phase
		The EULER-TAKEUP project has released a new, enhanced version of the EULER Search Engine in July 2002.
		The new EULER Engine comes with a complete re-design of the user interface, inspired by other popular and easy to use general purpose search engines, and a new, speed-optimized retrieval machinery in the background.
	www.emis.de /projects/EULER/About.html (165 words)

	EULER - Service (Site not responding. Last check: 2007-10-21)
		The EULER service provides you with a one-stop-shop in your search for mathematical resources such as books, pre-prints, web-pages, abstracts, proceedings, serials, technical reports and theses.
		The EULER service is the result of the EULER-project which is co-funded by the European Commission in the Telematics for Libraries sector from the Telematics Applications programme.
		If you are interested in the work behind the EULER service, welcome to our project homepage.
	euler.lub.lu.se /euler/engine/engine.html (236 words)

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