History of convexity and mathematical programming: connections and relationships in two episodes of research in pure and applied mathematics of the 20th century

TY - GEN

T1 - History of convexity and mathematical programming: connections and relationships in two episodes of research in pure and applied mathematics of the 20th century

AU - Kjeldsen, Tinne Hoff

PY - 2010

Y1 - 2010

N2 - In this paper, the gradual introduction of the concept of a general convex body in Minkowski's work and the development of mathematical programming, are presented. Both episodes are exemplary for mathematics of the 20th century, in the sense that the former represents a trend towards a growing abstraction and autonomy in pure mathematics, whereas the latter is an example of the many new disciplines in applied mathematics that emerged as a consequence of efforts to develop mathematics into a useful tool in a wider range of subjects than previously. It will be discussed, how and why these two new areas emerged and developed through different kinds of connections and relations; and how they at some point became connected, and fed and inspired one another. The examples suggest that pure and applied mathematics are more intertwined than the division in 'pure' and 'applied' signals.

AB - In this paper, the gradual introduction of the concept of a general convex body in Minkowski's work and the development of mathematical programming, are presented. Both episodes are exemplary for mathematics of the 20th century, in the sense that the former represents a trend towards a growing abstraction and autonomy in pure mathematics, whereas the latter is an example of the many new disciplines in applied mathematics that emerged as a consequence of efforts to develop mathematics into a useful tool in a wider range of subjects than previously. It will be discussed, how and why these two new areas emerged and developed through different kinds of connections and relations; and how they at some point became connected, and fed and inspired one another. The examples suggest that pure and applied mathematics are more intertwined than the division in 'pure' and 'applied' signals.

M3 - Article in proceedings

SN - 978-81-85931-08-3

VL - 4

SP - 3233

EP - 3257

BT - Proceedings of the International Congress of Mathematicians 2010 - Invited lectures

A2 - Bhatia, Rajendra

PB - Hindustan Book Agency

CY - New Delhi

T2 - International Congress of Mathematicians 2010

Y2 - 19 August 2010 through 27 August 2010

ER -