Introductio in analysin infinitorum
GPTKB entity
Statements (54)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:book
|
| gptkbp:author |
gptkb:Leonhard_Euler
|
| gptkbp:book |
gptkb:De_functionibus_specialibus
|
| gptkbp:contains |
treatment of the solution of equations by infinite series
treatment of the sine and cosine functions as infinite series treatment of the expansion of functions into series discussion of analytic functions discussion of infinite products discussion of the area under curves discussion of the catenary discussion of the convergence of series discussion of the ellipse and hyperbola discussion of the lemniscate discussion of the number e discussion of the rectification of curves discussion of the roots of unity discussion of transcendental functions early use of power series introduction of Euler's formula introduction of the gamma function treatment of algebraic curves treatment of complex numbers treatment of continued fractions treatment of the arc length of curves treatment of the cycloid treatment of the logarithmic curve treatment of the logarithmic spiral treatment of the parabola treatment of the quadrature of curves treatment of trigonometric series discussion of the representation of functions by series discussion of the binomial theorem for any exponent definition of exponential and logarithmic functions |
| gptkbp:countryOfPublication |
gptkb:Switzerland
|
| https://www.w3.org/2000/01/rdf-schema#label |
Introductio in analysin infinitorum
|
| gptkbp:influenced |
19th-century analysis
development of calculus |
| gptkbp:language |
gptkb:Latin
|
| gptkbp:notableFor |
development of trigonometric functions as infinite series
early use of infinite series foundational work in mathematical analysis introduction of the concept of function |
| gptkbp:numberOfVolumes |
2
|
| gptkbp:publicationYear |
1748
|
| gptkbp:publisher |
gptkb:Marc-Michel_Bousquet
|
| gptkbp:subject |
gptkb:mathematics
analysis |
| gptkbp:translatedInto |
gptkb:John_D._Blanton
yes |
| gptkbp:translationPublicationYear |
1988
|
| gptkbp:volume |
gptkb:De_functionibus_in_genere
|
| gptkbp:bfsParent |
gptkb:Leonhard_Euler
gptkb:Euler's_formula |
| gptkbp:bfsLayer |
5
|