Influences in Twentieth- and Twenty-First-Century Mathematical Practice

Bharath Sriraman () and Kyeonghwa Lee ()
Additional contact information
Bharath Sriraman: University of Montana
Kyeonghwa Lee: Seoul National University

A chapter in Handbook of the History and Philosophy of Mathematical Practice, 2024, pp 909-914 from Springer

Abstract: Abstract What characterizes twentieth-century mathematics? Or twenty-first-century mathematics? As opposed to mathematical practices? The former is too broad and subject to different answers depending on the individual or the group being addressed. Hilbert’s 23 problems published in 1900 would probably be mentioned because they influenced generations of mathematicians in the ensuing 123 years. Many names could also be mentioned such as Hardy, Ramanujan, Kolmogorov, Arnold, Poincaré, Grothendieck, the Bourbaki, the Langlands program, and others as shaping the agenda of twentieth- and twenty-first-century mathematics. Mathematical practice, on the other hand, is a broader arena than mathematics per se. It is broader because it includes not only mathematicians making original contributions to the field but also others that use mathematics in other contexts. These can vary from applications of mathematics in the real world, revisiting historical sources, (auto) biographical and metamathematical accounts, to making mathematics more accessible through textbooks. Others could simply view mathematics as a recreational activity (e.g., Bhaskara’s Lilavati, Victorian Mathematics, etc.). In this section of the Handbook, a selection of chapters are found that serve as examples of mathematical practice in a broader sense. The perspective conveyed in this section provides a balance between Western and non-Western contributions to mathematical practice.

Keywords: Twentieth-century mathematics; Twenty-first-century mathematics; Historiography of mathematics; Victorian mathematics; Indian mathematics; Greek mathematics; Ethics; Financial mathematics; Postmodernism (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-40846-5_137

Ordering information: This item can be ordered from
http://www.springer.com/9783031408465

DOI: 10.1007/978-3-031-40846-5_137

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().