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  2. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    These include infinite and infinitesimal numbers which possess certain properties of the real numbers. Surreal numbers: A number system that includes the hyperreal numbers as well as the ordinals. Fuzzy numbers: A generalization of the real numbers, in which each element is a connected set of possible values with weights.

  3. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Elements of Number Theory (reprint of the 1954 ed.). Mineola, NY: Dover Publications. Hardy and Wright's book is a comprehensive classic, though its clarity sometimes suffers due to the authors' insistence on elementary methods (Apostol 1981). Vinogradov's main attraction consists in its set of problems, which quickly lead to Vinogradov's own ...

  4. Hindu–Arabic numeral system - Wikipedia

    en.wikipedia.org/wiki/Hindu–Arabic_numeral_system

    The Hindu–Arabic system is designed for positional notation in a decimal system. In a more developed form, positional notation also uses a decimal marker (at first a mark over the ones digit but now more commonly a decimal point or a decimal comma which separates the ones place from the tenths place), and also a symbol for "these digits recur ad infinitum".

  5. List of Mersenne primes and perfect numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_Mersenne_primes...

    Visualization of 6 as a perfect number Logarithmic graph of the number of digits of the largest known prime number by year, nearly all of which have been Mersenne primes Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory .

  6. Residue number system - Wikipedia

    en.wikipedia.org/wiki/Residue_number_system

    A residue numeral system (RNS) is a numeral system representing integers by their values modulo several pairwise coprime integers called the moduli. This representation is allowed by the Chinese remainder theorem, which asserts that, if M is the product of the moduli, there is, in an interval of length M, exactly one integer having any given set of modular values.

  7. Archimedean property - Wikipedia

    en.wikipedia.org/wiki/Archimedean_property

    The field of the rational numbers endowed with the p-adic metric and the p-adic number fields which are the completions, do not have the Archimedean property as fields with absolute values. All Archimedean valued fields are isometrically isomorphic to a subfield of the complex numbers with a power of the usual absolute value. [6]

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  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    The modern study of number theory in its abstract form is largely attributed to Pierre de Fermat and Leonhard Euler. The field came to full fruition with the contributions of Adrien-Marie Legendre and Carl Friedrich Gauss. [17] Many easily stated number problems have solutions that require sophisticated methods, often from across mathematics.

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