Contributions in Analytic and Algebraic Number Theory: Festschrift in Honor of S. J. Patterson

Contributions in Analytic and Algebraic Number Theory: Festschrift in Honor of S. J. Patterson

Math = Love Make a set of nesting boxes to illustrate the number systems and have students place the index cards in the correct box(es)

Math = Love Make a set of nesting boxes to illustrate the number systems and have students place the index cards in the correct box(es)

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Algebraic Theory of Numbers by Pierre Samuel  Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics—algebraic geometry, in...

Algebraic Theory of Numbers by Pierre Samuel Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics—algebraic geometry, in...

The Theory of Algebraic Numbers by Harry Pollard   An excellent introduction to the basics of algebraic number theory, this concise, well-written volume examines Gaussian primes; polynomials over a field; algebraic number fields; and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class...

The Theory of Algebraic Numbers by Harry Pollard An excellent introduction to the basics of algebraic number theory, this concise, well-written volume examines Gaussian primes; polynomials over a field; algebraic number fields; and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class...

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Algebraic Extensions of Fields by Paul J. McCarthy   '...clear, unsophisticated and direct...'  — MathThis textbook is intended to prepare graduate students for the further study of fields, especially algebraic number theory and class field theory. It presumes some familiarity with topology and a solid background in abstract algebra.  Chapter 1 contains the basic results concerning algebraic extensions. In addition to separable and...

Algebraic Extensions of Fields by Paul J. McCarthy '...clear, unsophisticated and direct...' — MathThis textbook is intended to prepare graduate students for the further study of fields, especially algebraic number theory and class field theory. It presumes some familiarity with topology and a solid background in abstract algebra. Chapter 1 contains the basic results concerning algebraic extensions. In addition to separable and...

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