Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers (Hardcover)
暫譯: 啟發符號:數學符號的簡史及其隱藏的力量(精裝版)
Mazur, Joseph
- 出版商: Princeton University
- 出版日期: 2014-03-23
- 售價: $1,200
- 貴賓價: 9.5 折 $1,140
- 語言: 英文
- 頁數: 312
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0691154635
- ISBN-13: 9780691154633
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商品描述
An entertaining look at the origins of mathematical symbols
While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted.
Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics.
From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.
商品描述(中文翻譯)
數學符號起源的有趣探討
雖然我們都經常使用基本的數學符號,例如加號、減號和等號,但很少有人知道這些符號在十六世紀之前並不存在。那麼,在此之前,數學家們是依賴什麼來進行他們的工作呢?數學符號是如何演變成我們今天所知的樣子?在《Enlightening Symbols》中,知名數學作家約瑟夫·馬祖爾(Joseph Mazur)解釋了我們數學符號系統發展背後的迷人歷史。他展示了符號最初是如何使用的,隨著時間的推移,一個符號是如何取代另一個符號的,以及在符號廣泛採用之前和之後,書面數學是如何傳達的。
馬祖爾穿越數學歷史,探討不同文化中數字的基礎,並回顧歷史學家在過去兩個世紀中對數字系統起源的爭論。他追溯了代數從修辭風格到符號風格的轉變,證明在十六世紀之前,大多數代數是以散文或詩歌的形式書寫,使用數字的書面名稱。馬祖爾還研究了數學符號對數學思維、情緒、意義、溝通和理解的潛意識和心理影響。他考慮了這些符號如何通過相似性、聯想、身份、相似性和重複的意象來影響我們,如何通過潛意識的聯想引發新想法,如何在經驗與未知之間建立聯繫,以及它們如何促進基本數學的交流。
從文字到縮寫再到符號,本書展示了數學是如何演變成我們今天所熟悉的形式。
作者簡介
Joseph Mazur is the author of "Euclid in the Rainforest" (Plume), which was a finalist for the PEN/Martha Albrand Award, "Zeno's Paradox" (Plume), "What's Luck Got to Do with It?" (Princeton), and "Fluke" (Basic).
作者簡介(中文翻譯)
約瑟夫·馬祖爾(Joseph Mazur)是《雨林中的歐幾里得》("Euclid in the Rainforest",Plume)的作者,該書曾入圍PEN/Martha Albrand獎;他還著有《芝諾的悖論》("Zeno's Paradox",Plume)、《運氣與此有何關係?》("What's Luck Got to Do with It?",Princeton)以及《意外》("Fluke",Basic)。