WorldCat Identities

Euler, Leonhard 1707-1783

Overview
Works: 2,903 works in 7,244 publications in 7 languages and 41,548 library holdings
Genres: History  Biography  Conference papers and proceedings 
Roles: Author, Honoree, Editor, Other, Translator, Correspondent, Recipient, Dedicatee, Creator, Illustrator, Commentator for written text, Author of introduction, Cartographer, Dedicator, Adapter, Respondent
Classifications: QA29.E8, 512.788
Publication Timeline
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Most widely held works about Leonhard Euler
 
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Most widely held works by Leonhard Euler
Diophantus of Alexandria: a study in the history of Greek algebra by Thomas Little Heath( Book )

42 editions published between 1910 and 2011 in English and held by 726 WorldCat member libraries worldwide

Introduction to analysis of the infinite by Leonhard Euler( Book )

22 editions published between 1988 and 1990 in English and German and held by 632 WorldCat member libraries worldwide

From the preface of the author: " ... I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series."
Elements of algebra by Leonhard Euler( Book )

62 editions published between 1797 and 2010 in English and held by 558 WorldCat member libraries worldwide

In 1770, one of the founders of pure mathematics, Swiss mathematician Leonard Euler (1707-1783), published Elements of Algebra, a mathematics textbook for students. This edition of Euler's classic, published in 1822, is an English translation which includes notes added by Euler's tutor, Johann Bernoulli, and additions by Joseph-Louis Lagrange, both giants in eighteenth-century mathematics, as well as a short biography of Euler. Part 1 begins with elementary mathematics of determinate quantities and includes four sections on simple calculations (adding, subtracting, division, multiplication), and then progresses to compound calculations (fractions), ratios and proportions and algebraic equations. Part 2 consists of 15 chapters on analyses of indeterminate quantities. Here, Euler shows the reader several ways to solve polynomial equations up to the fourth degree. This landmark book showed students the beauty of mathematics, and more significantly, how to do it
Introductio in analysin infinitorum by Leonhard Euler( Book )

91 editions published between 1748 and 2017 in 6 languages and held by 507 WorldCat member libraries worldwide

Foundations of differential calculus by Leonhard Euler( Book )

20 editions published between 2000 and 2005 in English and held by 442 WorldCat member libraries worldwide

The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community
Introduction à l'analyse infinitésimale by Leonhard Euler( Book )

43 editions published between 1796 and 2017 in French and English and held by 322 WorldCat member libraries worldwide

Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive Solutio problematis isoperimetrici latissimo sensu accepti by Leonhard Euler( Book )

46 editions published between 1744 and 1993 in 5 languages and held by 208 WorldCat member libraries worldwide

Abhandlungen über das gleichgewicht und die schwingungen der ebenen elastischen kurven by Jakob Bernoulli( Book )

12 editions published in 1910 in German and held by 129 WorldCat member libraries worldwide

Abhandlungen über Variations-Rechnung by Jean Bernoulli( Book )

16 editions published between 1894 and 1914 in German and held by 68 WorldCat member libraries worldwide

Euler and modern science by N. N Bogoli︠u︡bov( Book )

2 editions published in 2007 in English and held by 19 WorldCat member libraries worldwide

" ... English translation of a collection of papers in Russian, many of which were presented at a conference that took place in Moscow and St. Petersburg in 1983 ..."--Introduction, p. ix
The early mathematics of Leonhard Euler by Charles Edward Sandifer( Book )

1 edition published in 2007 in English and held by 17 WorldCat member libraries worldwide

"The Early Mathematics of Leonhard Euler describes Euler's early mathematical works: the 50 mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These works contain some of Euler's greatest mathematics: the Konigsburg bridge problem, his solution to the Basel problem, his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler: that mixed partial derivatives are equal, our f(x) notation, and the integrating factor in differential equations. The book provides some of the way mathematics is actually done. For example, Euler found partial results towards the Euler-Fermat theorem well before he discovered a proof of the Fermat theorem itself, and the Euler-Fermat version came 30 years later, beyond the scope of this book. The book shows how results in diverse fields are related, how number theory relates to series, which, in turn relate to elliptic integrals and then to differential equations, There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from his first work on differential equations as an 18-year old student, a paper with a serious flaw in it, to the most celebrated mathematician and scientist of his times, when, at the age of 34, he was lured away like a superstar athlete might be traded today. The book is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail. Woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context."--Publisher's website
The genius of Euler : reflections on his life and work by William Dunham( Book )

1 edition published in 2007 in English and held by 17 WorldCat member libraries worldwide

The collected articles, aimed at a mathematically literate audience, address aspects of Euler's life and work, from the biographical to the historical to the mathematical. The oldest of these was written in 1872, and the most recent dates to 2006. Some of the papers focus on Euler and his world, others describe a specific Eulerian achievement, and still others survey a branch of mathematics to which Euler contributed significantly. -- From publisher description
Leonhard Euler by Rudolf Fueter( Book )

4 editions published between 1948 and 1979 in German and Undetermined and held by 14 WorldCat member libraries worldwide

Orthogonal polynomials and continued fractions : from Euler's point of view by S. V Khrushchev( Book )

1 edition published in 2008 in English and held by 13 WorldCat member libraries worldwide

"This new and exciting historical book tells how Euler introduced the idea of orthogonal polynomials and how he combined them with continued fractions, as well as how Brouncker's formula of 1655 can be derived from Euler's efforts in Special Functions and Orthogonal Polynomials. The most interesting applications of this work are discussed, including the great Markoff's Theorem on the Lagrange spectrum, Abel's Theorem on integration in finite terms, Chebyshev's Theory of Orthogonal Polynomials, and very recent advances in Orthogonal Polynomials on the unit circle. As continued fractions become more important again, in part due to their use in finding algorithms in approximation theory, this timely book revives the approach of Wallis, Brouncker and Euler and illustrates the continuing significance of their influence. A translation of Euler's famous paper 'Continued Fractions, Observation' is included as an Addendum."--Publisher's description
Dr. Euler's fabulous formula : cures many mathematical ills by Paul J Nahin( Book )

1 edition published in 2006 in English and held by 12 WorldCat member libraries worldwide

Presents the story of the formula - zero equals e[pi] i+1 long regarded as the gold standard for mathematical beauty. This book shows why it still lies at the heart of complex number theory. It discusses many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology
Optics in the age of Euler : conceptions of the nature of light, 1700-1795 by Casper Hakfoort( Book )

1 edition published in 1986 in English and held by 1 WorldCat member library worldwide

According to received historiography, the fundamental issue in eighteenth-century optics was whether light could be understood as the emission of particles or as the motion of waves in a subtle medium. Moreover, the emission theory of light was supposed to have been dominant in the eighteenth century, backed by Newton's physical arguments. This picture is enriched and qualified by focussing on the origins, contents, and reception of Leonhard Euler's wave theory of light published in 1746, here studied in depth for the first time. Contrary to what has been assumed, in an important sense, the particle-wave debate only starts with Euler. In addition, Euler's wave theory was the most popular theory in Germany for thirty-five years. Finally, when the emission view of light suddenly became dominant in Germany around 1795, new chemical experiments were crucial. Reflecting on the mathematical, experimental, and metaphysical aspects of physical optics, Casper Hakfoort provides as an epilogue a general picture of early modern science
 
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WorldCat IdentitiesRelated Identities
Introduction to analysis of the infinite
Alternative Names
Ėĭler, Leonard

Ėĭler, Leonard 1707-1783

Eiler, Leonnard 1707-1783

Ejler, L. 1707-1783

Éjler, Leonard

Ėjler, Leonard 1707-1783

Euler.

Euler, .. 1707-1783

Euler L.

Euler L. 1707-1783

Euler, L. (Leonhard), 1707-1783

Euler , Leonard

Euler Léonard 1707-1783

Euler, Leonardo 1707-1783

Euler, Leonardt 1707-1783

Euler, Leonh.

Euler, Leonh 1707-1783

Euler Leonhard

Euler, Leonhardt 1707-1783

Euler, Leunhard 1707-1783

Eulero, Leonh 1707-1783

Eulero , Leonhardo

Eulero, Leonhardo 1707-1783

Eulero , Lionardo

Eulero Lionardo 1707-1783

Eulero matematico e fisico svizzero

Eulerus, L.

Eulerus, L. 1707-1783

Eulerus , Leonardus

Eulerus, Leonardus 1707-1783

Eulerus, Leonh 1707-1783

Eulerus, Leonhardu 1707-1783

Eulerus, Leonhardus

Eulerus Leonhardus 1707-1783

Evler, Leonhard 1707-1783

Eyler Leonard

Eylero L.

Eylero L. 1707-1783

Leonard Euler

Leonard Eýler

Leonards Eilers

Leonhard Euler matemàtic rus

Leonhard Euler matemático e físico suízo

Leonhard Euler matemático nacido en Suiza

Leonhard Euler matemáticu rusu nacíu en Suiza

Leonhard Euler mathématicien et physicien suisse

Leonhard Euler mathématicien, physicien, philosophe, théologien et orientaliste suisse

Leonhard Euler Nhà Toán học người Thụy Sĩ

Leonhard Euler Schweizer Mathematiker

Leonhard Euler schweizisk matematiker

Leonhard Euler Suiso a matematiko

Leonhard Euler svájci matematikus és fizikus

Leonhard Euler sveitsisk matematiker og fysiker

Leonhard Euler švetsuarielaine, germuanielaine da ven’alaine matemuatiekku da mehaniekku, kudai luadi ylen suuren ruavon nämmien tiedoaloin kehittämizekse

Leonhard Euler švýcarský matematik a fyzik

Leonhard Euler Swiss mathematician

Leonhard Euler Swiss mathematician and physicist

Leonhard Euler Switserse wiskundige en fisikus

Leonhard Euler szwajcarski matematyk, fizyk i astronom

Leonhard Euler Zwitsers wiskundige en natuurkundige

Leonhardus Eulerus

Liunardu Euleru

Liyoonaardi Ooyiler

Ou-la

Ou-la 1707-1783

Oula

Oula 1707-1783

Λέοναρντ Όιλερ Ελβετός μαθηματικός

Ейлер, Леонгард

Леанард Ойлер

Леанард Эйлер

Леонард Ейлер

Леонард Ойлер

Леонард Ојлер

Леонард Эйлер

Леонард Эйлер швейцарский, немецкий и российский математик

Эйлер

Эйлер Л

Эйлер, Л 1707-1783

Эйлер, Леонард

Эйлер, Леонард 1707-1783

Լեոնարդ Էյլեր

אוילר, ליאונרד 1707-1783

לאונרד אוילר

לאונרד אוילר מתמטיקאי ופיזיקאי שווייצרי

לעאנהארד אוילער

لئونارد اویلر

لئونارد اویلر ریاضی‌دان و فیزیک‌دان سوئیسی

ليونارد يولر

ليونهارت أويلر رياضياتي سويسري

ليونهارد أويلر

لیونارڈ ایولر

لیونہارڈ اویلر

لیۆنارد ئۆیلەر

लिओनार्ड ऑइलर

लियोनार्ड ऑयलर

लियोनार्ड ओइलर

লিঅ'নাৰ্ড অইলাৰ

লিওনার্ট অয়লার

লেওনার্ড অয়লার সুইজারল্যান্ডীয় গণিতবিদ

ਲਿਓਨਹਾਰਡ ਇਓਲਰ

லியோனார்டு ஆய்லர்

లియొనార్డ్ ఆయిలర్

ಲಿಯೊನಾರ್ಡ್ ಯೂಲರ್

ലെയൻഹാർട് ഓയ്ലർ

ලියොනාඩ් ඉයුලර්

เลออนฮาร์ด ออยเลอร์

လီယွန်ဟတ် အွိုင်လာ

ლეონარდ ეილერი

레온하르트 오일러

오일러, 레온하르트 1707-1783

ላዮናርድ ኦይለር

លេអុនហាដ អយល័រ

オイラー, レオンハルト

オイレル

レオンハルト・オイラー

歐拉

萊昂哈德·歐拉

Languages
English (218)

Latin (118)

German (47)

French (42)

Dutch (3)

Italian (2)

Spanish (2)

Covers
Introduction to analysis of the infiniteElements of algebraIntroductio in analysin infinitorumFoundations of differential calculusMethodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive Solutio problematis isoperimetrici latissimo sensu acceptiEuler and modern scienceThe early mathematics of Leonhard EulerThe genius of Euler : reflections on his life and work