Handbook of the History and Philosophy of Mathematical Practice

ISBN-13: 9783031408458 / Angielski

Bharath Sriraman

Spis treści

Introduction to the Handbook of the History and Philosophy of Mathematical Practice.- Yuri Ivanovich Manin (1937- 2023): Mathematics, philosophy, poetry.- Christiaan Huygens: A XVIIth century mathematician working in the tradition of Archimedes and Apollonius.- Evolution of Leibniz’s thought in the matter of fictions and infinitesimals.- Logic in the History and Philosophy of Mathematical Practice.- Computability Theory.- Euclidean and Non-Euclidean Geometry in the History and Philosophy of Mathematical Practice.- Menelaus' Spherics in Greek and Arabic mathematics.- From friezes to quasicrystals - a history of symmetry groups.- Twentieth century geometry: A return to the Greeks.- Experimental Mathematics in the History and Philosophy of Mathematical Practice.- Thought Experiments in Mathematics.- Mathematical experiments on paper and computer.- Experiments using computers from the perspective of big data learning about various aspects of mathematical practice.- Introduction to the history and philosophy of mathematical practices in constructing the Reals. On Bolzano and Greek concepts of continuity.- Introduction to Views from Other Domains.- Argumentation in Mathematical Practice.- Practice Makes Perfectoid.- Inverting Hierarchies: The Sociology of Mathematical Practice.- Platonism and philosophy of mathematical practice.- Proof in the History and Philosophy of Mathematical Practice: An Introduction.- Diagrammatic Proofs in Mathematics.- The dark side of the history of proof.- Introduction to Pluralism in the History and Philosophy of Mathematical Practice.- Multiverse and the Society.- New Perspectives in the History and Philosophy of Mathematical Practice: An Introduction.- Experiments in Mathematics: Fact, Fiction or the Future?.- What are Mathematical Practices? The Web-of-Practices Approach.

O autorze

Bharath Sriraman is a Professor of Mathematics at the University of Montana-Missoula  working in the areas of cognition, creativity, mathematics and philosophy. In 2016, he was named the University of Montana Distinguished Scholar.  Prof. Sriraman has held 40+ visiting professorships at institutions in Norway, Iceland, Sweden, Germany, Turkey, Iran, Malaysia, South Korea, Canada, South Africa, Colombia, and Argentina, which include two US Fulbright awards.  To date, Prof. Sriraman has published more than 330 journal articles, book chapters, proceedings papers, and reference work entries, and served as the Editor of 33 volumes, in his areas of interest.  He is the founder and Editor-in-Chief of The Mathematics Enthusiast, an independent, peer-reviewed, open-access international journal.  In addition to editing and curating the Handbook of the History and Philosophy of Mathematical Practice, he previously served as the Editor-in-Chief of the Handbook of the Mathematics of the Arts and Sciences (Springer, 2021). In keeping with the adage Omne Trium Perfectum, his third Major Springer Reference Works Project is the Handbook of Visual, Experimental and Computational Mathematics: Bridges through Data in preparation for release in 2027. In his spare time, he is an amateur arborist.