The early mathematics of Leonhard Euler / C. Edward Sandifer.

Format:

Book

Author/Creator:

Sandifer, Charles Edward, 1951- author.

Series:

MAA spectrum

Spectrum, 2638-9045 ; v. 98

Language:

English

Subjects (All):

Euler, Leonhard, 1707-1783.

Euler, Leonhard.

Mathematics--History--18th century.

Mathematics.

Physical Description:

1 online resource (xix, 391 pages : portrait, facsimiles)

Place of Publication:

[Washington, DC] : Mathematical Association of America, c2007.

System Details:

Mode of access : World Wide Web

Contents:

Interlude: 1725-1727 1. E-1: Constructio linearum isochronarum in medio quocunque resistente 2. E-3: Methodus inveniendi traiectorias reciprocas algebraicas Interlude: 1728 3. E-5: Problematis traiectoriarum reciprocarum solutio 4. E-10: Nova methodus innumerabiles aequationes differentialis secundi gradus reducendi ad aequationes differentialis primi gradus Interlude: 1729-1731 5. E-19: De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt 6. E-9: De linea brevissima in superficie quacunque duo quaelibet puncta iungente 7. E-20: De summatione innumerabilium progressionum Interlude: 1732 8. E-25: Methodus generalis summandi progressiones 9. E-26: Observationes de theoremate quodam Fermatiano aliisque ad numeros primos spectantibus 10. E-27: Problematis isoperimetrici in latissimo sensu accepti solutio generalis Interlude: 1733 11. E-11: Constructio aequationum quarundam differentialium quae indeterminatarum separationem non admittunt 12. E-28: Specimen de constructione aequationum differentialium sine indeterminatarum separatione 13. E-29: De solutione problematum Diophanteorum per numeros integros 14. E-30: De formis radicum aequationum cuiusque ordinis conjectatio 15. E-31: Constructio aequationis differentialis $ax^n dx = dy + y^2 dx$ Interlude: 1734 16. E-42: De linea celerrimi descensus in medio quocunque resistente 17. E-43: De progressionibus harmonicis observationes 18. E-44: De infinitis curvis eiusdem generis sen methodus inveniendi aequationes pro infinitis curvis eiusdem generis 19. E-45: Additamentum ad dissertationem de infinitis curvis eiusdem generis 20. E-48: Investigatio binarum curvarum, quarum arcus eidem abscissae respondents summam algebraicam constituant Interlude: 1735 21. E-41: De summis serierum reciprocarum 22. E-46: Methodus universalis serierum convergentium summas quam proxime inveniendi 23. E-47: Inventio summae cuiusque seriei ex dato termino generali 24. E-51: De constructione aequationum ope motus tractorii aliisque ad methodum tangentium inversam pertinentibus 25. E-52: Solutio problematum rectificationem ellipsis requirentium 26. E-53: Solutio problematis ad geometriam situs pertinentis Interlude: 1736 27. E-54: Theorematum quorundam ad numeros primos spectantium demonstratio 28. E-55: Methodus universalis series summandi ulterius promota 29. E-56: Curvarum maximi minimive proprietate gaudentium inventio nova et facilis Interlude: 1737 30. E-70: De constructione aequationum 31. E-71: De fractionibus continuis dissertatio 32. E-72: Variae observationes circa series infinitas 33. E-73: Solutio problematis geometrici circa lunulas a circulis formatas Interlude: 1738 34. E-23: De curvis rectificabilibus algebraicis atque traiectoriis reciprocis algebraicis 35. E-74: De variis modis circuli quadraturam numeris proxime exprimendi 36. E-95: De aequationibus differentialibus, quae certis tantum casibus integrationem admittunt 37. E-98: Theorematum quorundam arithmeticorum demonstrationes 38. E-99: Solutio problematis cuiusdam a celeberrimo Daniele Bernoullio propositi Interlude: 1739 39. E-122: De productis ex infinitis factoribus ortis

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2020

Description based on print version record.

Other Format:

Print version: Sandifer, Charles Edward, 1951- early mathematics of Leonhard Euler /

ISBN:

9781470451813 (online)

Access Restriction:

Restricted for use by site license.