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  2. Timeline of numerals and arithmetic - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_numerals_and...

    His arithmetic explains the division of fractions and the extraction of square and cubic roots (square root of 57,342; cubic root of 3, 652, 296) in an almost modern manner. [2] 12th century — Indian numerals have been modified by Persian mathematicians al-Khwārizmī to form the modern Arabic numerals (used universally in the modern world.)

  3. History of ancient numeral systems - Wikipedia

    en.wikipedia.org/wiki/History_of_ancient_numeral...

    In the Etruscan system, the symbol 1 was a single vertical mark, the symbol 10 was two perpendicularly crossed tally marks, and the symbol 100 was three crossed tally marks (similar in form to a modern asterisk *); while 5 (an inverted V shape) and 50 (an inverted V split by a single vertical mark) were perhaps derived from the lower halves of ...

  4. Timeline of number theory - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_number_theory

    895 — Thabit ibn Qurra gives a theorem by which pairs of amicable numbers can be found, (i.e., two numbers such that each is the sum of the proper divisors of the other). 975 — The earliest triangle of binomial coefficients (Pascal triangle) occur in the 10th century in commentaries on the Chandas Shastra.

  5. History of mathematical notation - Wikipedia

    en.wikipedia.org/wiki/History_of_mathematical...

    The numbers 0–9 in Chinese huama (花碼) numerals. The ancient Chinese used numerals that look much like the tally system. [27] Numbers one through four were horizontal lines. Five was an X between two horizontal lines; it looked almost exactly the same as the Roman numeral for ten.

  6. Number - Wikipedia

    en.wikipedia.org/wiki/Number

    Among the first were the hypercomplex numbers, which consist of various extensions or modifications of the complex number system. In modern mathematics, number systems are considered important special examples of more general algebraic structures such as rings and fields, and the application of the term "number" is a matter of convention ...

  7. Timeline of mathematics - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_mathematics

    This is a timeline of pure and applied mathematics history.It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic ...

  8. History of mathematics - Wikipedia

    en.wikipedia.org/wiki/History_of_mathematics

    Of particular note is the use in Chinese mathematics of a decimal positional notation system, the so-called "rod numerals" in which distinct ciphers were used for numbers between 1 and 10, and additional ciphers for powers of ten. [107]

  9. Timeline of scientific discoveries - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_scientific...

    However, modern mathematicians generally believe that his axioms were highly incomplete, and that his definitions were not really used in his proofs. 300 BC: Finite geometric progressions are studied by Euclid in Ptolemaic Egypt. [43] 300 BC: Euclid proves the infinitude of primes. [44] 300 BC: Euclid proves the Fundamental Theorem of Arithmetic.