The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics

Author:   Elena Anne Corie Marchisotto ,  Francisco Rodríguez-Consuegra ,  James T. Smith
Publisher:   Birkhauser Boston Inc
Edition:   1st ed. 2021
ISBN:  

9780817648220


Pages:   603
Publication Date:   03 April 2021
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Our Price $475.17 Quantity:  
Add to Cart

Share |

The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics


Add your own review!

Overview

The Italian mathematician Mario Pieri (1860–1913) played a major role in the development of algebraic geometry and foundations of mathematics around the turn of the twentieth century.  This volume is the second in a series intended to make Pieri’s research in diverse fields—mathematical logic and philosophy of mathematics, foundations of projective, inversive, and elementary geometry, algebraic and differential geometry, and vector analysis—accessible to today’s scholars and to assess its importance (yet little recognized) in historical and modern contexts.  The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics examines Pieri’s underlying philosophy of mathematics and his research goals, highlighting one of his most influential achievements, his axiomatizations of projective and elementary geometry. Its chapters include three of Pieri’s pioneering works, translated by the authors and appearing in English for the first time, as well as an analysis of the role of this research in its larger context. Together, these translations and the accompanying interpretation accurately capture Pieri’s expository style, philosophical perspective, and his foundational research, which has influenced generations. With an excellent index, exhaustive references, and engaging discussions that reveal Pieri’s work in its historical context, this volume will appeal to scholars and advanced students interested in the history and philosophy of mathematics and logic, as well as readers with a general knowledge of geometry at the intermediate level. A list of errata can be found on the author Smith’s personal webpage.

Full Product Details

Author:   Elena Anne Corie Marchisotto ,  Francisco Rodríguez-Consuegra ,  James T. Smith
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1st ed. 2021
Weight:   1.502kg
ISBN:  

9780817648220


ISBN 10:   0817648224
Pages:   603
Publication Date:   03 April 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Pieri's Contributions to Foundations and Philosophy of Mathematics.- Pieri's Philosophy of Deductive Sciences.- Two Paths to Logical Consequence: Pieri and the Peano School.- Pieri's 1900 Paris Paper.- Pieri and Projective Geometry.- Pieri's 1898 Geometry of Position Memoir.- Transformational Geometry.- Pieri's 1900 Point-and-Motion Memoir.- Pieri's Works on Foundations and Philosophy of Mathematics.- Central Themes and Impact of Pieri's Work.- Bibliography.- Index.

Reviews

Reviews for the first volume: This book portrays Pieri as an individual of exceptional ability, who responded to the influence of many of his contemporaries; and they, in turn, acknowledged the quality of Pieri's work. In fact, there is a sixty-page section in the first chapter containing biographical sketches of the lives and work of almost a hundred such mathematicians. Moreover, the general historical analysis and interpretative commentary, whilst focussing particularly upon the achievements of Mario Pieri, also extends to many of the general mathematical developments of his era. The book is very thoroughly documented and contains an abundance of photographic portraits. It culminates with an extensive bibliography and an accurately compiled index, and it will undoubtedly appeal to those concerned with the history of 'modern mathematics', as well as being of interest to the general readership specified by the authors. -MAA Reviews


“This book gives a very thorough and carefully produced account of Pieri's foundational work in geometry … .” (Viktor Blåsjö, Mathematical Reviews, May, 2022)


Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
Shopping cart
Mailing List