The Eneström Index. In 1913, Swedish mathematician Gustaf Eneström completed a comprehensive survey of Euler's works. He enumerated 866 distinct works, including books, journal articles, and some letters he deemed to be especially important. Each of these was assigned a number, from E1 to E866, which is now referred to as the "Eneström number." Most historical scholars today use Eneström numbers to identify Euler's writings quickly.
Euler Translation. Since roughly 80% of Euler's works were published in Latin, translation into modern languages is crucial in order to understand his contributions to science and mathematics. If you are contemplating a particular translation project, please contact Erik Tou (etou@uw.edu) or Chris Goff (cgoff@pacific.edu), using "Euler Translation Notice" as your subject heading. If you have completed a translation project, please consider submitting it to the journal Euleriana.
Other Resources. To read more on Euler and his work, check out the Euler Archive's historical information section, as well as Ed Sandifer's How Euler Did It column. Further information on Euler and 18th century science can be found on our Historical and Biographical Resources page.
Publications from 1726
E1: Constructio linearum isochronarum in medio quocunque resistente
Publications from 1727
E2: Dissertatio physica de sono
E3: Methodus inveniendi traiectorias reciprocas algebraicas
Publications from 1728
Publications from 1729
E5: Problematis traiectoriarum reciprocarum solutio
E6: Dissertatio de novo quodam curvarum tautochronarum genere
E7: Tentamen explicationis phaenomenorum aeris
Publications from 1732
E9: De linea brevissima in superficie quacunque duo quaelibet puncta iungente
Publications from 1733
E11: Constructio aequationum quarundam differentialium, quae indeterminatarum separationem non admittunt
Publications from 1735
E12: De innumerabilibus curvis tautochronis in vacuo
E13: Curva tautochrona in fluido resistentiam faciente secundum quadrata celeritatum
Publications from 1736
E15: Mechanica, volume 1
E16: Mechanica, volume 2
Publications from 1738
E17: Rechenkunst
E18: De Indorum anno solari astronomico
E19: De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt
E20: De summatione innumerabilium progressionum
E22: De communicatione motus in collisione corporum
E23: De curvis rectificabilibus algebraicis atque traiectoriis reciprocis algebraicis
E24: Solutio singularis casus circa tautochronismum
E25: Methodus generalis summandi progressiones
E26: Observationes de theoremate quodam Fermatiano aliisque ad numeros primos spectantibus
E27: Problematis isoperimetrici in latissimo sensu accepti solutio generalis
E28: Specimen de constructione aequationum differentialium sine indeterminatarum separatione
E29: De solutione problematum diophanteorum per numeros integros
E30: De formis radicum aequationum cuiusque ordinis coniectatio
E31: Constructio aequationis differentialis axn dx = dy + y2 dx
E32: Von der Gestalt der Erden
Publications from 1739
E33: Tentamen novae theoriae musicae
E34: Dissertatio de igne in qua ejus natura et proprietates explicantur
Publications from 1740
E37: De motu planetarum et orbitarum determinatione
E38: Orbitae solaris determinatio
E39: Solutio problematum quorundam astronomicorum
E40: De minimis oscillationibus corporum tam rigidorum quam flexibilium. Methodus nova et facilis.
E41: De summis serierum reciprocarum
E42: De linea celerrimi descensus in medio quocunque resistente
E43: De progressionibus harmonicis observationes
E45: Additamentum ad dissertationem de infinitis curvis eiusdem generis
Publications from 1741
E46: Methodus universalis serierum convergentium summas quam proxime inveniendi
E47: Inventio summae cuiusque seriei ex dato termino generali
E49: De oscillationibus fili flexilis quotcunque pondusculis onusti
E50: Methodus computandi aequationem meridiei
E52: Solutio problematum rectivicationem ellipsis requirentium
E53: Solutio problematis ad geometriam situs pertinentis
E54: Theorematum quorundam ad numeros primos spectantium demonstratio
E55: Methodus universalis series summandi ulterius promota
E56: Curvarum maximi minive proprietate gaudientium inventio nova et facilis
E57: Inquisitio physica in causam fluxus ac refluxus maris
Publications from 1743
E58: Determinatio orbitae cometae qui mense Martio huius anni 1742 potissimum fuit observatus
E59: Theoremata circa reductionem formularum integralium ad quadraturam circuli
E60: De inventione integralium, si post integrationem variabili quantitati determinatus valor tribuatur
E62: De integratione aequationum differentialium altiorum graduum
E63: Démonstration de la somme de cette suite 1 + 1/4 + 1/9 + 1/16 + ...
Publications from 1742
E64: Leonhardus Eulerus mathematicus acutissimus ad auctorem
Publications from 1744
E66: Theoria motuum planetarum et cometarum
E67: Beantwortung verschiedener Fragen uber die Beschaffenheit, Bewegung und Wurckung der Cometen
E68: Fortgesetzte Beantwortung der Fragen uber die Beschaffenheit, Bewegung und Wurckung der Cometen
E69: De communicatione motus in collisione corporum sese non directe percutientium
E70: De constructione aequationum
E71: De fractionibus continuis dissertatio
E72: Variae observationes circa series infinitas
E73: Solutio problematis geometrici circa lunulas a circulis formatas
E74: De variis modis circuli quadraturam numeris proxime exprimendi
E75: Solutio problematis in Novorum Actorum Eruditorum mense novembri A. 1743 propositi
Publications from 1745
E76: Novae et correctae tabulae ad loca lunae computanda
E77: Neue Grundsätze der Artillerie
E78: Dissertation sur la meilleure construction du cabestan
E79: Problema geometricum propositum publice ab Anonymo Geometra
Publications from 1748
Publications from 1746
E81: Gedancken von den Elementen der Cörper
E82: De la force de percussion et de sa véritable mesure
E84: Leonhardi Euleri animadversio ad libri praecedentis sec. 83 et seq. de curvis elasticis
E85: Solutio problematis catoptrici in his actis A. 1745 Mense Septembri P. I pag. 523 propositi
E86: De motu corporum in superficiebus mobilibus
E87: Tabulae astronomicae solis et lunae
E88: Nova theoria lucis et colorum
E89: De relaxione motus planetarum
E90: Enodatio quaestionis utrum materiae facultas cogitandi tribui possit necne
E91: Recherches physiques sur la nature des moindres parties de la matière
Publications from 1747
E92: Rettung der Göttlichen Offenbahrung gegen die Einwürfe der Freygeister
E94: De motu cymbarum remis propulsarum in fluviis
E95: De aequationibus differentialibus, quae certis tantum casibus integrationem admittunt
E96: De machinarum tam simplicium quam compositarum usu maxime lucroso
E97: De attractione corporum sphaeroidico-ellipticorum
E98: Theorematum quorundam arithmeticorum demonstrationes
E99: Solutio problematis cuiusdam a Celeberrimo Daniele Bernoullio propositi
E100: De numeris amicabilibus