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Algorithmic Algebraic Number Theory

constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go;

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Quadratic Number Theory

This text is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some;

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A Course in Algebraic Number Theory

This graduate-level text provides coverage for a one-semester course in algebraic number theory. It explores the general theory;

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A Gentle Course in Local Class Field Theory

This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a;

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A Gentle Course in Local Class Field Theory

This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a;

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First Course in Abstract Algebra, A

This text introduces students to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a;

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Quadratic Number Fields

usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings;

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Algebraic Number Theory

the basic theory of algebraic numbers. The treatment of the subject is classical but the newer approach discussed at the end provides a;

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Complex Algebraic Curves

of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most;

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Algebraic Numbers and Algebraic Functions

is algebraic numbers and algebraic functions, there is no greater master than Emil Artin. In this classic text, originated from the notes of the course;

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Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and

part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent;

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Algebraic Number Theory

This introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class;

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A Conversational Introduction to Algebraic Number Theory

introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q. Originating in the;

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Algebraic Curves and Their Applications

a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding;

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Class Field Theory and L Functions

A Thorough Presentation of the Theory of Algebraic Numbers and Functions Built on a presentation of algebraic foundations Topics;

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Algebra

algebraic number theory, and the rudiments of algebraic geometry. In addition, there are some more specialized topics not usually covered in such a;

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Algebraic Number Theory

in algebraic number theory. This Second Edition includes a valuable list of errata compiled by mathematicians who have read and used the text over the;

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Elementary and Analytic Theory of Algebraic Numbers

This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage;

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Certain Number-Theoretic Episodes In Algebra

Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical;

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Introduction to Applied Algebraic Systems

. A rigorous introduction to basic number theory, rings, fields, polynomial theory, groups, algebraic geometry and elliptic curves prepares;

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Computation with Linear Algebraic Groups

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book;

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A Brief Guide to Algebraic Number Theory

This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written;

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A Brief Guide to Algebraic Number Theory

This is a 2001 account of Algebraic Number Theory, a field which has grown to touch many other areas of pure mathematics. It is written;

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Mathematics Is Not a Spectator Sport

Compared to other popular math books, there is more algebraic manipulation, and more applications of algebra in number theory and geometry;

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Algebraic Geometry, Volume 3

algebraic geometry. This, in together with Algebraic Geometry 1 and Algebraic Geometry 2 , makes an excellent textbook for a course;

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Finite Fields

in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.;

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Non-Unique Factorizations

From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and;

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