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Criteria for Divisibility

N. N. Vorobyov
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      N. N. Vorob'ev's Criteria for Divisibility introduces the high school or early college student to a specific number-theoretic topic and explains the general mathematical structures which underlie the particular concepts discussed. Vorob'ev discusses the ideas of well-ordered sets, partial and linear orderings, equivalence relations, equivalence classes, algorithms, and the relationship between the determinability of algorithms defined on the integers and the well-ordering principle. All this is done comprehensively with the help of a unique plan for study which encourages the student to skip large sections of the book on first reading and return to them later. The more general and conceptually challenging material appears in small print, so that the student must have a good grasp of the number-theoretic concepts on which the generalizations are based before making the step to generalization. The booklet provides both specific knowledge in a particular field of mathematical investigation and a fine basis on which to continue studies in mathematics.
      Format: CONTRIBUTORS: N. N. Vorobyov EAN: 9780226865164 COUNTRY: United States PAGES: WEIGHT: 113 g HEIGHT: 23 cm
      PUBLISHED BY: The University of Chicago Press DATE PUBLISHED: 1980-02-01 CITY: GENRE: MATHEMATICS / Arithmetic WIDTH: 16 cm SPINE:

      Book Themes:

      Number theory

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      N. N. Vorob'ev is a senior researcher at the Leningrad Division of the Mathematics Institute of the U.S.S.R. Academy of Sciences.
      N. N. Vorob'ev's Criteria for Divisibility introduces the high school or early college student to a specific number-theoretic topic and explains the general mathematical structures which underlie the particular concepts discussed. Vorob'ev discusses the ideas of well-ordered sets, partial and linear orderings, equivalence relations, equivalence classes, algorithms, and the relationship between the determinability of algorithms defined on the integers and the well-ordering principle. All this is done comprehensively with the help of a unique plan for study which encourages the student to skip large sections of the book on first reading and return to them later. The more general and conceptually challenging material appears in small print, so that the student must have a good grasp of the number-theoretic concepts on which the generalizations are based before making the step to generalization. The booklet provides both specific knowledge in a particular field of mathematical investigation and a fine basis on which to continue studies in mathematics.
      Format: CONTRIBUTORS: N. N. Vorobyov EAN: 9780226865164 COUNTRY: United States PAGES: WEIGHT: 113 g HEIGHT: 23 cm
      PUBLISHED BY: The University of Chicago Press DATE PUBLISHED: 1980-02-01 CITY: GENRE: MATHEMATICS / Arithmetic WIDTH: 16 cm SPINE:

      Book Themes:

      Number theory

      Customer Reviews

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      N. N. Vorob'ev is a senior researcher at the Leningrad Division of the Mathematics Institute of the U.S.S.R. Academy of Sciences.

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