The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics
暫譯: 馬里奧·皮耶里在數學基礎與哲學中的遺產

Marchisotto, Elena Anne Corie, Rodríguez-Consuegra, Francisco, Smith, James T.

  • 出版商: Birkhauser Boston
  • 出版日期: 2021-04-03
  • 售價: $7,020
  • 貴賓價: 9.5$6,669
  • 語言: 英文
  • 頁數: 603
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0817648224
  • ISBN-13: 9780817648220
  • 相關分類: 數學
  • 無法訂購

商品描述

The Italian mathematician Mario Pieri (1860-1913) played an integral part in the research groups of Corrado Segre and Giuseppe Peano, and thus had a significant, yet somewhat underappreciated impact on several branches of mathematics, particularly on the development of the foundations of philosophy and mathematics in the years around the turn of the 20th century. This book is the second in a series of three volumes that are dedicated to countering that neglect and comprehensively examining Pieri's life, mathematical work, and influence in such diverse fields as mathematical logic, algebraic geometry, number theory, inversive geometry, vector analysis, and differential geometry.

Mario Pieri on the Foundations of Philosophy and Mathematics introduces readers to Pieri's career and his studies in foundations, from both historical and modern viewpoints, placing his life and research in context and tracing his influence on his contemporaries as well as more recent mathematicians. The text also includes translations and commentary on Pieri's original analyses on projective geometry, transformational geometry.

Combining an engaging exposition, little-known historical information, exhaustive references and an excellent index, this text will be of interest to graduate students, researchers, and historians with a general knowledge of logic and advanced mathematics.

商品描述(中文翻譯)

意大利數學家馬里奧·皮耶里(Mario Pieri,1860-1913)在科拉多·塞格雷(Corrado Segre)和朱塞佩·皮亞諾(Giuseppe Peano)的研究團隊中扮演了重要角色,因此對數學的幾個分支產生了顯著但有些被低估的影響,特別是在20世紀初期哲學和數學基礎的發展上。本書是三卷系列中的第二卷,旨在對抗這種忽視,全面檢視皮耶里的生平、數學工作及其在數學邏輯、代數幾何、數論、反演幾何、向量分析和微分幾何等多個領域的影響。

《馬里奧·皮耶里與哲學和數學的基礎》從歷史和現代的角度介紹了皮耶里的職業生涯及其在基礎研究方面的學習,將他的生活和研究置於背景中,追溯他對當代及後來數學家的影響。文本還包括對皮耶里在射影幾何和變換幾何方面的原始分析的翻譯和評論。

本書結合了引人入勝的闡述、鮮為人知的歷史資訊、詳盡的參考文獻和優秀的索引,將吸引對邏輯和高級數學有一般了解的研究生、研究人員和歷史學者的興趣。