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arithmetization

   Also found in: Wikipedia 0.01 sec.
arithmetization [ə‚rith·məd·ə′zā·shən]
(mathematics)
The study of various branches of higher mathematics by methods that make use of only the basic concepts and operations of arithmetic.
Representation of the elements of a finite or denumerable set by nonnegative integers. Also known as Gödel numbering.


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Gregory, the calculus of operations, and the Cambridge Mathematical Journal; developments in the theory of algebras over number fields; Emmy Noether's 1932 ICM lecture on non-commutative methods in algebraic number theory; and the arithmetization of algebraic geometry.
00 Paperback QA21 For undergraduate math students and teachers, this introduction to the history of the subject and influential mathematicians encompasses the Greeks, Indian arithmetic, integral and differential calculus, the analytic geometry of Rene Descartes, non-commutative algebra, the arithmetization of analysis, and the beginnings of algebra as well as figures such as Newton, Hamilton, Kepler, Fibonacci, and Euclid.
 
 
 
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