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題名:中國傳統數學位與象的結構
書刊名:漢學研究
作者:陳良佐
出版日期:1992
卷期:10:1=19
頁次:頁137-179
主題關鍵詞:中國結構傳統數學
原始連結:連回原系統網址new window
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The structure and mechanical nature of traditional Chinese mathematics were based on position (wei位) and pictograph (hsiang象). All steps and ca1culations using an abacus (or more primitive calculating device), involved a combination of position and pictograph. Once the decimal system of calculation was devised, the unique characterist of the organization and mechanics of ancient Chinese mathe­matics appeared, decimal system of China was a natural product of the Chinese language’s monosyllabic and isolating features as well as the ideographic characteristic of the written language. Chinese characters are based on an ideographic writing system in which the shape and structure of a character symbolizes an object and can also convey abstract ideas. The Chinese language frequently relies on concrete phrases to convey abstract thoughts. This kind of symbolic language and writing system influenced the language of ancient Chinese mathematics. The external structure of position and pictograpn in traditional mathematics were also influenced by the I-Ching. The 64 “kua” (or divinatory diagrams) are symbols made up by placing the two diagrams Yin and Yang in different positions.
期刊論文
1.陳良佐(1977)。我國籌算中的空位─零─及其相關的一些問題。大陸雜誌,54(5),5-6。  延伸查詢new window
2.沈康身(1986)。讀「九章算術‧劉徽注」新議。自然科學史研究,3,208-209。  延伸查詢new window
3.郭書春(1990)。論我國古典數學思惟的特徵。自然科學史研究,4,299。  延伸查詢new window
4.陳良佐(1978)。先秦數學的發展及其影響。中央研究院歷史語言研究所集刊,264。new window  延伸查詢new window
會議論文
1.錢寶琮(1966)。增乘開方法的歷史的發展。北京。  延伸查詢new window
2.錢寶琮(1966)。增乘開方法的歷史發展。北京。41。  延伸查詢new window
3.王渝生(1989)。隙積術、□積術與尖錐術─從沈括、朱世傑到李善蘭。臺北。212。  延伸查詢new window
圖書
1.陸宗達(1980)。訓詁簡論。北京市:北京出版社。  延伸查詢new window
2.中外數學簡史編寫組(1986)。中國數學簡史。濟南。  延伸查詢new window
3.錢寶琮(1963)。中國數學史。北京。  延伸查詢new window
4.中村元、徐復觀(1953)。中國人之思惟方法。臺北:中華文化出版事業委員會。  延伸查詢new window
5.Karlgren, Bernhard(1977)。中國語與中國文。中國語與中國文。臺北。  延伸查詢new window
6.陸宗達、王寧(1983)。訓詁方法論。北京:中國社會科學出版社。  延伸查詢new window
7.周法高(1975)。中國語文研究。臺北。  延伸查詢new window
8.吳九龍(1985)。銀雀山漢簡釋文。北京:文物出版社。  延伸查詢new window
9.Karlgren, Bernhard、杜其容(1978)。中國語之性質及其歷史。臺北:國立編譯館。  延伸查詢new window
10.張世超、孫凌安、金國泰、馬如森(1996)。金文形義通解。中文出版社。  延伸查詢new window
11.白尚恕(1985)。測圓海鏡今譯。測圓海鏡今譯。濟南。  延伸查詢new window
12.(1931)。中算家之縱橫圖研究。中算史論叢(三)。  延伸查詢new window
13.唐蘭。古文學導論。古文學導論。  延伸查詢new window
14.白尚恕(1982)。九章算術與劉徽所用名詞今釋。九章算術與劉徽。北京。  延伸查詢new window
15.王夢鷗(1969)。禮記今註今釋。禮記今註今釋。臺北。  延伸查詢new window
16.李繼閔。《九章算術》中的比率理論。九章算術與劉徽。北京。  延伸查詢new window
17.Menninger, Karl。Number Words and Number Symbols。Number Words and Number Symbols。Cambridge。  new window
18.Kline, Morris。Mathematical Though form Ancient to Modern Times。Mathematical Though form Ancient to Modern Times。  new window
其他
1.(清)丁福保。說文解字詁林正補合編(第一冊),臺北。  延伸查詢new window
2.(1990)。九章算術,上海。  延伸查詢new window
3.孫子算經。  延伸查詢new window
4.楊輝。詳解九章算法纂類。  延伸查詢new window
5.(元)李冶。敬齊古今黈拾遺。  延伸查詢new window
6.(清)羅士琳。四元玉鑑,臺北。  延伸查詢new window
7.程大位(1986)。算法纂要校釋。  延伸查詢new window
8.禮記。  延伸查詢new window
9.周禮。  延伸查詢new window
10.孫子。  延伸查詢new window
11.(唐)孔穎達。詩經。  延伸查詢new window
12.論政。  延伸查詢new window
 
 
 
 
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