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A Course in Algebraic Number Theory

2010-01-01 Mathematics
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Release : 2010-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 541/5 ( reviews)

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Book Synopsis A Course in Algebraic Number Theory by : Robert B. Ash

Download or read book A Course in Algebraic Number Theory written by Robert B. Ash. This book was released on 2010-01-01. Available in PDF, EPUB and Kindle. Book excerpt: This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as the number field case. It illustrates the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition.

A Course in Computational Algebraic Number Theory

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 456/5 ( reviews)

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Book Synopsis A Course in Computational Algebraic Number Theory by : Henri Cohen

Download or read book A Course in Computational Algebraic Number Theory written by Henri Cohen. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

The Theory of Algebraic Numbers: Second Edition

1975-12-31 Algebraic number theory
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Release : 1975-12-31
Genre : Algebraic number theory
Kind : eBook
Book Rating : 093/5 ( reviews)

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Book Synopsis The Theory of Algebraic Numbers: Second Edition by : Harry Pollard

Download or read book The Theory of Algebraic Numbers: Second Edition written by Harry Pollard. This book was released on 1975-12-31. Available in PDF, EPUB and Kindle. Book excerpt: This monograph makes available, in English, the elementary parts of classical algebraic number theory. This second edition follows closely the plan and style of the first edition. The principal changes are the correction of misprints, the expansion or simplification of some arguments, and the omission of the final chapter on units in order to make way for the introduction of some two hundred problems.

Problems in Algebraic Number Theory

2005-09-28 Mathematics
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Release : 2005-09-28
Genre : Mathematics
Kind : eBook
Book Rating : 983/5 ( reviews)

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Book Synopsis Problems in Algebraic Number Theory by : M. Ram Murty

Download or read book Problems in Algebraic Number Theory written by M. Ram Murty. This book was released on 2005-09-28. Available in PDF, EPUB and Kindle. Book excerpt: The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved

Algebraic Number Theory

2012-01-27 Mathematics
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Release : 2012-01-27
Genre : Mathematics
Kind : eBook
Book Rating : 36X/5 ( reviews)

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Book Synopsis Algebraic Number Theory by : Edwin Weiss

Download or read book Algebraic Number Theory written by Edwin Weiss. This book was released on 2012-01-27. Available in PDF, EPUB and Kindle. Book excerpt: Ideal either for classroom use or as exercises for mathematically minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields.

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