# Algebraic number theory

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### 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...

### Formulas in Math series formulas.

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Algebraic Number Theory

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...

### The Theory of Algebraic Number Fields

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

Algebraic Number Theory by Edwin Weiss Careful organization and clear, detailed proofs make this book ideal either for classroom use or as a stimulating series of exercises for mathematically-minded individuals. Modern abstract techniques focus on introducing elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields.

### Algebraic Number Theory and Fermats Last Theorem Third Edition (9781568811192) Ian Stewart, David Tall , ISBN-10: 1568811195 , ISBN-13: 978-1568811192 , , tutorials , pdf , ebook , torrent , downloads , rapidshare , filesonic , hotfile , megaupload , fileserve

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...