Handbook of the History and Philosophy of Mathematical Practice
Sriraman, Bharath
- 出版商: Springer
- 出版日期: 2024-05-15
- 售價: $46,650
- 貴賓價: 9.5 折 $44,318
- 語言: 英文
- 頁數: 3260
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031408454
- ISBN-13: 9783031408458
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商品描述
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
Otávio Bueno, University of Miami, USAWilliam Byers, Concordia University, Canada
Carlo Cellucci, Sapienza University of Rome, ItalyChandler 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)
Kyeong-Hwa Lee, Seoul National University, South Korea 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
This book with its exciting depth and breadth, illuminates us about the history, practice, and the very language of our subject; about the role of abstraction, of proof and manners of proof; about the interplay of fundamental intuitions; about algebraic thought in contrast to geometric thought. The richness of mathematics and the philosophy encompassing it is splendidly exhibited over the wide range of time these volumes cover---from deep platonic and neoplatonic influences to the most current experimental approaches. Enriched, as well, with vivid biographies and brilliant personal essays written by (and about) people who play an important role in our tradition, this extraordinary collection of essays is fittingly dedicated to the memory of Chandler Davis, Reuben Hersh, and Yuri Manin.---Barry Mazur, Gerhard Gade University Professor, Harvard University
This encyclopedic Handbook will be a treat for all those interested in the history and philosophy of mathematics. Whether one is interested in individuals (from Pythagoras through Newton and Leibniz to Grothendieck), fields (geometry, algebra, number theory, logic, probability, analysis), viewpoints (from Platonism to Intuitionism), or methods (proof, experiment, computer assistance), the reader will find a multitude of chapters that inform and fascinate.---John Stillwell, Emeritus Professor of Mathematics, University of San Francisco; Recipient of the 2005 Chauvenet Prize
Dedicating a volume to the memory of three mathematicians - Chandler Davis, Reuben Hersh, and Yuri Manin -, who went out of their way to show to a broader audience that mathematics is more than what they might think, is an excellent initiative. Gathering authors coming from many different backgrounds but who are very strict about the essays they write was successfully achieved by the editor-in-chief. The result: a great source of potential inspiration!---Jean-Pierre Bourguignon; Nicolaas Kuiper Honorary Professor at the Institut des Hautes Études Scientifiques
商品描述(中文翻譯)
這本獨特手冊的目的是從數學實踐的歷史起源到現在,探討數學哲學的轉變。它旨在綜合已知和迄今為止的發展,並探索數學哲學研究的方向,這在越來越多樣化的數學實踐中顯而易見。每個部分都提供了起源、辯論、方法論和當今學科特點的洞察。貢獻者包括數學、歷史和哲學學者,以及其他學科的學者,這些學科豐富了當今哲學研究中的觀點,他們描述了不同時期的各種數學實踐,並將其與哲學的發展進行對比。
編輯顧問委員會:
- Andrew Aberdein,美國佛羅里達理工學院
- Jody Azzouni,美國塔夫茨大學
- Otávio Bueno,美國邁阿密大學
- William Byers,加拿大康考迪亞大學
- Carlo Cellucci,義大利羅馬大學
- Chandler Davis,加拿大多倫多大學(1926-2022)
- Paul Ernest,英國埃克塞特大學
- Michele Friend,美國喬治華盛頓大學
- Reuben Hersh,美國新墨西哥大學(1927-2020)
- Kyeong-Hwa Lee,南韓首爾國立大學
- Yuri Manin,德國馬克斯普朗克數學研究所(1937-2023)
- Athanase Papadopoulos,法國斯特拉斯堡大學
- Ulf Persson,瑞典查爾默斯理工大學
- John Stillwell,美國舊金山大學
- David Tall,英國華威大學
這本書以其豐富的深度和廣度,為我們闡明了數學的歷史、實踐和語言,以及抽象、證明和證明方式的作用,以及基本直覺的相互作用,代數思維與幾何思維的對比。這些卷所涵蓋的時間範圍從深刻的柏拉圖和新柏拉圖影響到最新的實驗方法,展示了數學的豐富性和包容性。此外,這本書還附有生動的傳記和關於在我們傳統中扮演重要角色的人們的精彩個人文章,這些文章非常適合獻給 Chandler Davis、Reuben Hersh 和 Yuri Manin 的記憶。- Barry Mazur,哈佛大學 Gerhard Gade University 教授
這本百科全書式的手冊將是所有對數學的歷史和哲學感興趣的人的禮物。無論是對個人(從毕达哥拉斯到牛顿和莱布尼茨再到格罗滕迪克)、領域(幾何、代數、數論、邏輯、概率、分析)、觀點(從柏拉圖主義到直觀主義)還是方法(證明、實驗、計算機輔助),讀者都能找到許多豐富且引人入勝的章節。- John Stillwell,舊金山大學數學名譽教授;2005年 Chauvenet 獎得主
將一本書獻給三位數學家 - Chandler Davis、Reuben Hersh 和 Yuri Manin,他們竭盡全力向更廣泛的觀眾展示數學不僅僅是他們所想的那樣,這是一個很好的舉措。編輯主任成功地匯集了來自不同背景的作者,他們對自己撰寫的文章非常嚴謹。結果是一個潛在靈感的重要來源!- Jean-Pierre Bourguignon;法國高等科學研究院尼古拉斯·奎珀榮譽教授
作者簡介
作者簡介(中文翻譯)
Bharath Sriraman是蒙大拿大學密蘇拉分校的數學教授,研究領域包括認知、創造力、數學和哲學。2016年,他被授予蒙大拿大學傑出學者稱號。Sriraman教授曾在挪威、冰島、瑞典、德國、土耳其、伊朗、馬來西亞、南韓、加拿大、南非、哥倫比亞和阿根廷等國家的40多所學術機構擔任訪問教授,其中包括兩次美國富布萊特獎。迄今為止,Sriraman教授在他感興趣的領域已發表了330多篇期刊文章、專書章節、會議論文和參考工作條目,並擔任了33卷的編輯。他是《The Mathematics Enthusiast》的創辦人和主編,這是一本獨立的、同行評審的、開放存取的國際期刊。除了編輯和編纂《數學實踐的歷史和哲學手冊》外,他曾擔任《藝術與科學的數學手冊》(Springer,2021年)的主編。根據格言"Omne Trium Perfectum",他的第三個主要Springer參考工作項目是《視覺、實驗和計算數學手冊:通過數據建立橋樑》,預計於2027年發布。在閒暇時間,他是一位業餘樹木專家。