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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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Cohomology of Groups and Algebraic K-theory

algebraic K-theory. Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology;

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Algebraic Number Theory

This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader;

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Essentials of Number Theory

, algebraic number theory, analytic number theory, geometric number theory, and probabilistic number theory. These categories reflect the methods used;

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Fundamentals of Number Theory

The branch of pure mathematics that is dedicated to study of integers is called number theory or arithmetic. Number theory studies the;

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Number Theory: Volume II

numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this;

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Number Theory

of number theory. The main sub-divisions of number theory are analytical number theory, algebraic number theory and Diophantine geometry. Some;

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Contributions in Algebra and Algebraic Geometry

and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are;

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Discriminant Equations In Diophantine Nu

Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine;

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Algebraic Number Theory

of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development;

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Algebraic Number Theory and Fermat's Last Theorem

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas;

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Algebraic Number Theory and Fermat's Last Theorem

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas;

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Algorithmic Information Theory

Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Goedel's incompleteness;

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Theory of Algebraic Integers

algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in instalments in the 'Bulletin des sciences;

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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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Numbers and Symmetry

provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate;

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Numbers and Symmetry

provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate;

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Discovering Group Theory

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and;

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Discovering Group Theory

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and;

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Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers

algebraic and number theoretical tools for formulating and solving certain types of classification problems in topology.;

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A Physicist's Introduction to Algebraic Structures

An algebraic structure consists of a set of elements, with some rule of combining them, or some special property of selected subsets of the;

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Algebra and Number Theory

Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory;

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Sums of Squares of Integers

Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums;

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Sums of Squares of Integers

Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums;

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Computational and Algorithmic Problems in Finite Fields

generators, modular arithmetic etc.), and computational number theory (primality testing, factoring integers, computing in algebraic number theory;

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An Introduction to Rings and Modules

appear. Armed with these two texts, the reader will be ready for more advanced topics in K-theory, homological algebra and algebraic number;

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