The Language of Mathematics: The Stories Behind the Symbols (Hardcover) (數學的語言:符號背後的故事)

Rojas, Raúl

  • 出版商: Princeton University Press
  • 出版日期: 2025-01-14
  • 售價: $1,200
  • 貴賓價: 9.5$1,140
  • 語言: 英文
  • 頁數: 280
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0691201889
  • ISBN-13: 9780691201887
  • 下單後立即進貨 (約1週~2週)

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商品描述

A marvelous compendium of mathematical symbols and their fascinating histories

Galileo famously wrote that the book of nature is written in mathematical language. The Language of Mathematics is a wide-ranging and beautifully illustrated collection of short, colorful histories of the most commonly used symbols in mathematics, providing readers with an engaging introduction to the origins, evolution, and conceptual meaning of each one.

In dozens of lively and informative entries, Raúl Rojas shows how today's mathematics stands on the shoulders of giants, mathematicians from around the world who developed mathematical notation through centuries of collective effort. He tells the stories of such figures as al-Khwarizmi, René Descartes, Joseph-Louis Lagrange, Carl Friedrich Gauss, Augustin-Louis Cauchy, Karl Weierstrass, Sofia Kovalevskaya, David Hilbert, and Kenneth Iverson. Topics range from numbers and variables to sets and functions, constants, and combinatorics. Rojas describes the mathematical problems associated with different symbols and reveals how mathematical notation has sometimes been an accidental process. The entries are self-contained and can be read in any order, each one examining one or two symbols, their history, and the variants they may have had over time.

An essential companion for math enthusiasts, The Language of Mathematics shows how mathematics is a living and evolving entity, forever searching for the best symbolism to express relationships between abstract concepts and to convey meaning.

商品描述(中文翻譯)

一部精彩的數學符號及其迷人歷史的彙編

伽利略曾著名地寫道,自然之書是用數學語言書寫的。《數學的語言》是一部範圍廣泛且插圖精美的短篇歷史集,介紹了數學中最常用符號的起源、演變及概念意義,為讀者提供了一個引人入勝的入門。

在數十個生動且資訊豐富的條目中,拉烏爾·羅哈斯展示了當今數學是如何建立在巨人的肩膀上,這些數學家來自世界各地,經過幾個世紀的共同努力發展了數學符號。他講述了如阿爾-花拉子密、勒內·笛卡爾、約瑟夫-路易·拉格朗日、卡爾·弗里德里希·高斯、奧古斯丁-路易·柯西、卡爾·魏爾斯特拉斯、索非亞·科瓦列夫斯卡亞、大衛·希爾伯特和肯尼斯·艾佛森等人物的故事。主題涵蓋數字和變數、集合和函數、常數以及組合數學。羅哈斯描述了與不同符號相關的數學問題,並揭示了數學符號有時是偶然過程的結果。這些條目是獨立的,可以按任意順序閱讀,每個條目檢視一到兩個符號、它們的歷史及隨時間變化的變體。

《數學的語言》是數學愛好者的必備伴侶,展示了數學是一個活生生且不斷演變的實體,永遠在尋找最佳的符號來表達抽象概念之間的關係並傳達意義。

作者簡介

Raúl Rojas is professor of mathematics and statistics at the University of Nevada, Reno, and professor emeritus of computer science and mathematics at the Free University of Berlin. A world-renowned expert in artificial intelligence, he is the author of the seminal book Neural Networks and the editor (with Ulf Hashagen) of The First Computers.

作者簡介(中文翻譯)

Raúl Rojas 是內華達大學雷諾分校的數學與統計學教授,以及柏林自由大學的計算機科學與數學名譽教授。他是人工智慧領域的世界知名專家,著有開創性著作《神經網絡》,並與 Ulf Hashagen 共同編輯《第一台計算機》。