ALGEBRAIC NUMBER THEORY : Ted Chinburg : Semester 4 of 2-year course in Algebraic Number Theory.  http://www.math.upenn.edu/~ted/721S11/hw-721SchedTab.html

ALGEBRAIC NUMBER THEORY : Ted Chinburg : Semester 4 of 2-year course in Algebraic Number Theory. http://www.math.upenn.edu/~ted/721S11/hw-721SchedTab.html

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

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...

Algebraic Number Theory

Algebraic Number Theory (Paperback)

Algebraic Number Theory and Fermat's Last Theorem (Revised) (Hardcover) (Ian Stewart & David Tall)

Algebraic Number Theory and Fermat's Last Theorem (Revised) (Hardcover) (Ian Stewart & David Tall)

Algebraic Number Theory

Local Fields (Graduate Texts in Mathematics):   The goal of this book is to present local class field theory from the cohomo­ logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of "localisation". The...

Local Fields (Graduate Texts in Mathematics): The goal of this book is to present local class field theory from the cohomo­ logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field. For example, such fields are obtained by completing an algebraic number field; that is one of the aspects of "localisation". The...

The Theory of Algebraic Number Fields | David Hilbert | Springer

The Theory of Algebraic Number Fields

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

Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger (Dover Books on Mathematics)

A conversational introduction to algebraic number theory : arithmetic beyond Z / Paul Pollack

A conversational introduction to algebraic number theory : arithmetic beyond Z / Paul Pollack

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