Language:
English
繁體中文
Help
圖資館首頁
Login
Back
to Search results for
[ subject:"Gregory, James," ]
Switch To:
Labeled
|
MARC Mode
|
ISBD
The impossibility of squaring the ci...
~
Crippa, Davide.
The impossibility of squaring the circle in the 17th centurya debate among Gregory, Huygens and Leibniz /
Record Type:
Electronic resources : Monograph/item
Title/Author:
The impossibility of squaring the circle in the 17th centuryby Davide Crippa.
Reminder of title:
a debate among Gregory, Huygens and Leibniz /
Author:
Crippa, Davide.
Published:
Cham :Springer International Publishing :2019.
Description:
viii, 184 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
MathematicsPhilosophy17th century.
Online resource:
https://doi.org/10.1007/978-3-030-01638-8
ISBN:
9783030016388$q(electronic bk.)
The impossibility of squaring the circle in the 17th centurya debate among Gregory, Huygens and Leibniz /
Crippa, Davide.
The impossibility of squaring the circle in the 17th century
a debate among Gregory, Huygens and Leibniz /[electronic resource] :by Davide Crippa. - Cham :Springer International Publishing :2019. - viii, 184 p. :ill., digital ;24 cm. - Frontiers in the history of science,2662-2564. - Frontiers in the history of science..
FM -- Introduction -- James Gregory and the Impossibility of Squaring the Central Conic Sections -- Leibniz's Arithmetical Quadrature of the Circle -- Conclusion -- BM.
This book is about James Gregory's attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise De quadratura arithmetica. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
ISBN: 9783030016388$q(electronic bk.)
Standard No.: 10.1007/978-3-030-01638-8doiSubjects--Personal Names:
853842
Gregory, James,
1638-1675.Subjects--Topical Terms:
853845
Mathematics
--Philosophy--17th century.
LC Class. No.: QA8.4 / .C757 2019
Dewey Class. No.: 510
The impossibility of squaring the circle in the 17th centurya debate among Gregory, Huygens and Leibniz /
LDR
:02463nmm a2200337 a 4500
001
568129
003
DE-He213
005
20200130145811.0
006
m d
007
cr nn 008maaau
008
200611s2019 sz s 0 eng d
020
$a
9783030016388$q(electronic bk.)
020
$a
9783030016371$q(paper)
024
7
$a
10.1007/978-3-030-01638-8
$2
doi
035
$a
978-3-030-01638-8
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA8.4
$b
.C757 2019
072
7
$a
PBX
$2
bicssc
072
7
$a
MAT015000
$2
bisacsh
072
7
$a
PBX
$2
thema
082
0 4
$a
510
$2
23
090
$a
QA8.4
$b
.C931 2019
100
1
$a
Crippa, Davide.
$3
853841
245
1 4
$a
The impossibility of squaring the circle in the 17th century
$h
[electronic resource] :
$b
a debate among Gregory, Huygens and Leibniz /
$c
by Davide Crippa.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Birkhauser,
$c
2019.
300
$a
viii, 184 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Frontiers in the history of science,
$x
2662-2564
505
0
$a
FM -- Introduction -- James Gregory and the Impossibility of Squaring the Central Conic Sections -- Leibniz's Arithmetical Quadrature of the Circle -- Conclusion -- BM.
520
$a
This book is about James Gregory's attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise De quadratura arithmetica. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
600
1 0
$a
Gregory, James,
$d
1638-1675.
$3
853842
600
1 0
$a
Huygens, Christiaan,
$d
1629-1695.
$3
853843
600
1 0
$a
Leibniz, Gottfried Wilhelm,
$c
Freiherr von,
$d
1646-1716.
$3
178974
650
0
$a
Mathematics
$x
Philosophy
$x
History
$y
17th century.
$3
853845
650
1 4
$a
History of Mathematical Sciences.
$3
511733
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer eBooks
830
0
$a
Frontiers in the history of science.
$3
853844
856
4 0
$u
https://doi.org/10.1007/978-3-030-01638-8
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
ALL
電子館藏
Items
1 records • Pages 1 •
1
Inventory Number
Location Name
Item Class
Material type
Call number
Usage Class
Loan Status
No. of reservations
Opac note
Attachments
000000176774
電子館藏
1圖書
電子書
EB QA8.4 .C931 2019 2019
一般使用(Normal)
On shelf
0
1 records • Pages 1 •
1
Multimedia
Multimedia file
https://doi.org/10.1007/978-3-030-01638-8
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login