Diophantus was a Hellenistic mathematician who lived circa 250 AD, but the uncertainty of this date is so great that it may be off by more than a century. He is known for having written Arithmetica, a treatise that was originally thirteen books but of which only the first six have survived. Arithmetica has very little in common with traditional Greek mathematics since it is divorced from geometric methods, and it is different from Babylonian mathematics in that Diophantus is concerned primarily with exact solutions, both determinate and indeterminate, instead of simple approximations.
In Arithmetica, Diophantus is the first to use symbols for unknown numbers as well as abbreviations for powers of numbers, relationships, and operations; thus he used what is now known as syncopated algebra. The main difference between Diophantine syncopated algebra and modern algebraic notation is that the former lacked special symbols for operations, relations, and exponentials.
Write True or False.
- Diophantus was a Hellenistic mathematician who lived circa 150 AD, but the uncertainty of this date is so great that it may be off by more than a century.
- The main difference between Diophantine syncopated algebra and modern algebraic notation is that the former lacked special symbols for operations, relations, and exponentials.
- Arithmetica has very little in common with traditional Greek mathematics since it is divorced from geometric methods.
- Diophantus is known for having written Arithmetica, a treatise that was originally six books and now be thirteen books.
- In Arithmetica, Diophantus is the second to use symbols for unknown numbers as well as abbreviations for powers of numbers, relationships, and operations.
Answer:
1. F 2. T 3. T 4. F 5. F
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