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- catalog contributor b2008165.
- catalog created "[1964]".
- catalog date "1964".
- catalog date "[1964]".
- catalog dateCopyrighted "[1964]".
- catalog description ""Bibliography and notes": p. 373-375.".
- catalog description "pt. I. An intuitive approach. Preliminary considerations -- Mathematical induction -- The division algorithm -- Number theory in the game of solitaire -- Representation of the integers -- The Euclid algorithm -- More about greatest common divisors -- The fundamental theorem of arithmetic -- Prime and composite integers -- The number-theoretic functions [tau](n) and [sigma](n) -- Multiplicative number-theoretic functions -- The bracket function -- Introduction to the congruence notation -- Linear congruences -- Diophantine equations of the first degree -- Systems of linear congruences -- The Euler-Fermat theorems -- Congruences of higher degree -- Exponents and primitive roots -- The theory of indices -- Quadratic residues and Legendre's symbol -- The quadratic reciprocity law -- Pythagorean triplets -- Homogeneous quadratic Diophantine equations -- Fermat's method of descent -- Sum of four squares -- Sum of two squares -- Egyptian fractions -- pt. II. An axiomatic approach. Mathematical systems and introduction to group theory -- Transformation groups -- Linear transformations and matrices -- Introduction to quadratic forms -- Congruence modulo a subgroup -- Direct products -- Rings, domains, and fields -- The fundamental theorem reconsidered -- Quotient fields -- Ordered rings -- Polynomial rings -- Modular fields -- The real field and decimal representation of rational numbers -- Continued fractions -- Peano's axioms for the natural integers -- Integers-positive, negative, and zero.".
- catalog extent "xiv, 383 p.".
- catalog hasFormat "Theory of numbers.".
- catalog isFormatOf "Theory of numbers.".
- catalog issued "1964".
- catalog issued "[1964]".
- catalog language "eng".
- catalog publisher "New York, Macmillan".
- catalog relation "Theory of numbers.".
- catalog subject "Number theory.".
- catalog subject "QA241 .S8 1964".
- catalog tableOfContents "pt. I. An intuitive approach. Preliminary considerations -- Mathematical induction -- The division algorithm -- Number theory in the game of solitaire -- Representation of the integers -- The Euclid algorithm -- More about greatest common divisors -- The fundamental theorem of arithmetic -- Prime and composite integers -- The number-theoretic functions [tau](n) and [sigma](n) -- Multiplicative number-theoretic functions -- The bracket function -- Introduction to the congruence notation -- Linear congruences -- Diophantine equations of the first degree -- Systems of linear congruences -- The Euler-Fermat theorems -- Congruences of higher degree -- Exponents and primitive roots -- The theory of indices -- Quadratic residues and Legendre's symbol -- The quadratic reciprocity law -- Pythagorean triplets -- Homogeneous quadratic Diophantine equations -- Fermat's method of descent -- Sum of four squares -- Sum of two squares -- Egyptian fractions -- pt. II. An axiomatic approach. Mathematical systems and introduction to group theory -- Transformation groups -- Linear transformations and matrices -- Introduction to quadratic forms -- Congruence modulo a subgroup -- Direct products -- Rings, domains, and fields -- The fundamental theorem reconsidered -- Quotient fields -- Ordered rings -- Polynomial rings -- Modular fields -- The real field and decimal representation of rational numbers -- Continued fractions -- Peano's axioms for the natural integers -- Integers-positive, negative, and zero.".
- catalog title "Theory of numbers.".
- catalog type "text".