Contents Sunzi Suanjing




1 contents

1.1 chapter 1
1.2 chapter 2
1.3 chapter 3





contents

sunzi division algorithm of 6561/9



al khwarizimi division identical sunzi division



sunzi square root algorithm



kushyar ibn labban division, identical sunzi


the book divided 3 chapters.


chapter 1

chapter 1 discusses measurement units of length, weight , capacity, , rules of counting rods. although counting rods in use in spring , autumn period , many ancient books on mathematics such book on numbers , computation , 9 chapters on mathematical art, no detail account of rules given. first time, mathematical classic of sun zi provided detail description of rules of counting rods: 1 must know position of counting rods, units vertical, tens horizontal, hundreds stand thousands prostrate . followed detailed layout , rules manipulation of counting rods in addition, subtraction, multiplication, , division ample examples.


chapter 2

chapter 2 deals operational rules fractions rod numerals: reduction, addition, subtraction, , division of fractions, followed mechanical algorithm extraction of square root.


chapter 3

chapter 3 contains earliest example of chinese remainder theorem, key tool understanding , resolving diophantine equations.









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