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 Handbookof 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.

Introduction to the Handbook of the History and Philosophy of Mathematical Practice.- From Origins to the Natural Historians/Philosophers.- Logic.- Practices in Euclidean and Non-Euclidean Geometry.- "Experimental" Mathematics.- Constructing the Reals; Paradoxes and Foundations.- Views from Other Domains.- Ontology.- Proof.- Pluralism.- New Perspectives.- Trends and Influences in 20^th Century Mathematics.  Mathematicians' Reflections on Practice and Working Philosophy of Mathematics.  Practical, Historical, and Philosophical Instances of Probability.- Semiology of Mathematical Practice.

The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed. Each section offers insights into the origins, debates, methodologies, and newer perspectives that characterize the discipline today. Contributions are written by scholars from mathematics, history, and philosophy - as well as other disciplines that have contributed to the richness of perspectives abundant in the study of philosophy today - who describe various mathematical practices throughout different time periods and contrast them with the development of philosophy.

Editorial Advisory Board

Andrew Aberdein, Florida Institute of Technology, USA

Jody Azzouni, Tufts University, USA

William Byers, Concordia University, Canada

Carlo Cellucci, Sapienza University of Rome, Italy

Chandler Davis, University of Toronto, Canada (1926-2022)

Paul Ernest, University of Exeter, UK

Michele Friend, George Washington University, USA

Reuben Hersh, University of New Mexico, USA (1927-2020)

Yuri Manin, Max Planck Institute for Mathematics, Germany (1937-2023)

Athanase Papadopoulos, University of Strasbourg, France

Ulf Persson, Chalmers University of Technology, Sweden

John Stillwell, University of San Francisco, USA

David Tall, University of Warwick, UK