Sunzi Suanjing (Chinese: 孫子算經; pinyin: Sūnzǐ Suànjīng; Wade–Giles: Sun Tzu Suan Ching; lit. 'The Mathematical Classic of Master Sun/Master Sun's Mathematical Manual') was a mathematical treatise written during 3rd to 5th centuries AD which was listed as one of the Ten Computational Canons during the Tang dynasty. The specific identity of its author Sunzi (lit. "Master Sun") is still unknown but he lived much later than his namesake Sun Tzu, author of The Art of War. From the textual evidence in the book, some scholars concluded that the work was completed during the Southern and Northern Dynasties.[2] Besides describing arithmetic methods and investigating Diophantine equations, the treatise touches upon astronomy and attempts to develop a calendar.[citation needed]
Facsimile of Qing dynasty edition of The Mathematical Classic of Sun Zi
Chapter 1 discusses measurement units of length, weight and capacity, and the rules of counting rods. Although counting rods were in use in the Spring and Autumn period and there were many ancient books on mathematics such as Book on Numbers and Computation and The Nine Chapters on the Mathematical Art, no detailed account of the rules was given. For the first time, The Mathematical Classic of Sun Zi provided a detail description of the rules of counting rods: "one must know the position of the counting rods, the units are vertical, the tens horizontal, the hundreds stand, the thousands prostrate",[3] followed by the detailed layout and rules for manipulation of the counting rods in addition, subtraction, multiplication, and division with ample examples.
Chapter 2
Chapter 2 deals with operational rules for fractions with rod numerals: the reduction, addition, subtraction, and division of fractions, followed by mechanical algorithm for the extraction of square roots.[4]
Researchers have published a full English translation of the Sūnzĭ Suànjīng:
Fleeting Footsteps; Tracing the Conception of Arithmetic and Algebra in Ancient China, by Lam Lay Yong and Ang Tian Se, Part Two, pp 149–182. World Scientific Publishing Company; June 2004 ISBN981-238-696-3
The original Chinese text is available on Wikisource.
Wikisource has original text related to this article:
^For instance, in problem 33 of volume 3, it is written, "Luoyang is 900 li away from Chang'an". As the name "Chang'an" was first employed during the Han dynasty, this work could not have been written before the 3rd century. Additionally, in problem 3 of volume 3, Sun Tzu writes "We have a board game, 19 rows and 19 columns square. Question: how many stones are there?" Since go made its first appearance in the mid-3rd century, the work was most probably written during the Wei or Jindynasties.[1]
sunzi, suanjing, chinese, 孫子算經, pinyin, sūnzǐ, suànjīng, wade, giles, suan, ching, mathematical, classic, master, master, mathematical, manual, mathematical, treatise, written, during, centuries, which, listed, computational, canons, during, tang, dynasty, spe. Sunzi Suanjing Chinese 孫子算經 pinyin Sunzǐ Suanjing Wade Giles Sun Tzu Suan Ching lit The Mathematical Classic of Master Sun Master Sun s Mathematical Manual was a mathematical treatise written during 3rd to 5th centuries AD which was listed as one of the Ten Computational Canons during the Tang dynasty The specific identity of its author Sunzi lit Master Sun is still unknown but he lived much later than his namesake Sun Tzu author of The Art of War From the textual evidence in the book some scholars concluded that the work was completed during the Southern and Northern Dynasties 2 Besides describing arithmetic methods and investigating Diophantine equations the treatise touches upon astronomy and attempts to develop a calendar citation needed Facsimile of Qing dynasty edition of The Mathematical Classic of Sun Zi Contents 1 Contents 1 1 Chapter 1 1 2 Chapter 2 1 3 Chapter 3 2 Bibliography 3 External links 4 ReferencesContents Edit Sunzi division algorithm of 6561 9 Al Khwarizimi division identical to Sunzi division Sunzi square root algorithm Kushyar ibn Labban division identical to Sunzi The book is divided into three chapters Chapter 1 Edit Chapter 1 discusses measurement units of length weight and capacity and the rules of counting rods Although counting rods were in use in the Spring and Autumn period and there were many ancient books on mathematics such as Book on Numbers and Computation and The Nine Chapters on the Mathematical Art no detailed account of the rules was given For the first time The Mathematical Classic of Sun Zi provided a detail description of the rules of counting rods one must know the position of the counting rods the units are vertical the tens horizontal the hundreds stand the thousands prostrate 3 followed by the detailed layout and rules for manipulation of the counting rods in addition subtraction multiplication and division with ample examples Chapter 2 Edit Chapter 2 deals with operational rules for fractions with rod numerals the reduction addition subtraction and division of fractions followed by mechanical algorithm for the extraction of square roots 4 Chapter 3 Edit Chapter 3 contains the earliest example of Chinese remainder theorem a key tool to understanding and resolving Diophantine equations Bibliography EditResearchers have published a full English translation of the Sunzĭ Suanjing Fleeting Footsteps Tracing the Conception of Arithmetic and Algebra in Ancient China by Lam Lay Yong and Ang Tian Se Part Two pp 149 182 World Scientific Publishing Company June 2004 ISBN 981 238 696 3The original Chinese text is available on Wikisource Wikisource has original text related to this article The Mathematical Classic of Sun ZiExternal links EditSun Zi at MacTutorReferences Edit Lam Lay Yong and An Tian Se Fleeting Footsteps p 4 World Scientific ISBN 981 02 3696 4 For instance in problem 33 of volume 3 it is written Luoyang is 900 li away from Chang an As the name Chang an was first employed during the Han dynasty this work could not have been written before the 3rd century Additionally in problem 3 of volume 3 Sun Tzu writes We have a board game 19 rows and 19 columns square Question how many stones are there Since go made its first appearance in the mid 3rd century the work was most probably written during the Wei or Jin dynasties 1 Lam Lay Yong and An Tian Se Fleeting Footsteps p55 World Scientific ISBN 981 02 3696 4 Lam Lay Yong and An Tian Se Fleeting Footsteps p65 World Scientific ISBN 981 02 3696 4 Retrieved from https en wikipedia org w index php title Sunzi Suanjing amp oldid 1083680320, wikipedia, wiki, book, books, library,
