Hilbert's Programs and Beyond

Hilbert's Programs and Beyond
Author: Wilfried Sieg
Publisher: Oxford University Press
Total Pages: 452
Release: 2013-03-07
Genre: Computers
ISBN: 0195372220

David Hilbert was one of the great mathematicians who expounded the centrality of their subject in human thought. In this collection of essays, Wilfried Sieg frames Hilbert's foundational work, from 1890 to 1939, in a comprehensive way and integrates it with modern proof theoretic investigations.

The History of Continua

The History of Continua
Author: Stewart Shapiro
Publisher: Oxford University Press, USA
Total Pages: 593
Release: 2021
Genre: Mathematics
ISBN: 0198809646

Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.

The Richness of the History of Mathematics

The Richness of the History of Mathematics
Author: Karine Chemla
Publisher: Springer Nature
Total Pages: 702
Release: 2023-11-27
Genre: Mathematics
ISBN: 3031408551

This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.

Actions of Groups

Actions of Groups
Author: John McCleary
Publisher: Cambridge University Press
Total Pages: 246
Release: 2022-12-31
Genre: Mathematics
ISBN: 1009158120

An undergraduate text with an active learning approach introducing representation theory and Galois theory topics using group actions.