Ghent University Academic Bibliography

Advanced

From the second unknown to the symbolic equation

Albrecht Heeffer UGent (2010) Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics. In Studies in Logic 26. p.57-101
Please use this url to cite or link to this publication:
author
organization
year
type
bookChapter
publication status
published
keyword
we would like to emphasize the foundations on which Vi`ete could base his logistica speciosa. The period between Cardano’s Practica Arithmeticae of 1539 and Gosselin’s De arte magna of 1577 has been crucial in providing the necessary building, blocks for the transformation of algebra from rules for problem solving to the study of equations. In this paper we argue that the so-called “second unknown” or the Regula quantitates steered the development of an adequate, symbolism to deal with multiple unknowns and aggregates of equations. During this process the very concept of a symbolic equation emerged separate from previous notions of what we call “co-equal polynomials”., The symbolic equation slowly emerged during the course of the sixteenth century as a new mathematical concept as well as a mathematical object on which new operations were made possible. Where historians have often pointed at Fran¸cois Vi`ete as the father of symbolic algebra
book title
Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics
editor
Albrecht Heeffer UGent and Maarten Van Dyck UGent
series title
Studies in Logic
volume
26
pages
57 - 101
publisher
College Publications
place of publication
London
ISBN
978-1-84890-017-2
language
English
UGent publication?
yes
classification
B2
copyright statement
I have retained and own the full copyright for this publication
VABB id
c:vabb:300583
VABB type
VABB-4
id
1043033
handle
http://hdl.handle.net/1854/LU-1043033
date created
2010-09-16 15:23:37
date last changed
2017-01-02 09:54:53
@incollection{1043033,
  author       = {Heeffer, Albrecht},
  booktitle    = {Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics},
  editor       = {Heeffer, Albrecht and Van Dyck, Maarten},
  isbn         = {978-1-84890-017-2},
  keyword      = {we would like to emphasize the foundations on which Vi`ete could base his logistica speciosa. The period between Cardano{\textquoteright}s Practica Arithmeticae of 1539 and Gosselin{\textquoteright}s De arte magna of 1577 has been crucial in providing the necessary building,blocks for the transformation of algebra from rules for problem solving to the study of equations. In this paper we argue that the so-called {\textquotedblleft}second unknown{\textquotedblright} or the Regula quantitates steered the development of an adequate,symbolism to deal with multiple unknowns and aggregates of equations. During this process the very concept of a symbolic equation emerged separate from previous notions of what we call {\textquotedblleft}co-equal polynomials{\textquotedblright}.,The symbolic equation slowly emerged during the course of the sixteenth century as a new mathematical concept as well as a mathematical object on which new operations were made possible. Where historians have often pointed at Fran{\c{~}}cois Vi`ete as the father of symbolic algebra},
  language     = {eng},
  pages        = {57--101},
  publisher    = {College Publications},
  series       = {Studies in Logic},
  title        = {From the second unknown to the symbolic equation},
  volume       = {26},
  year         = {2010},
}

Chicago
Heeffer, Albrecht. 2010. “From the Second Unknown to the Symbolic Equation.” In Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics, ed. Albrecht Heeffer and Maarten Van Dyck, 26:57–101. London: College Publications.
APA
Heeffer, A. (2010). From the second unknown to the symbolic equation. In A. Heeffer & M. Van Dyck (Eds.), Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics (Vol. 26, pp. 57–101). London: College Publications.
Vancouver
1.
Heeffer A. From the second unknown to the symbolic equation. In: Heeffer A, Van Dyck M, editors. Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics. London: College Publications; 2010. p. 57–101.
MLA
Heeffer, Albrecht. “From the Second Unknown to the Symbolic Equation.” Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics. Ed. Albrecht Heeffer & Maarten Van Dyck. Vol. 26. London: College Publications, 2010. 57–101. Print.