Number theory

A gentle introduction to Liouville''s powerful method in elementary number theory.

Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.

This book explains the mathematics behind practical implementations of elliptic curve systems.

A coherent account of the computational methods used to solve diophantine equations.

A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.

Papers presented by prominent contributors at a workshop on Number Theory and Cryptography, and the annual meeting of the Australian Mathematical Society.

These papers were presented at the 1985 Australian Mathematical Society convention.

A self-contained account of a new approach to the subject.

The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems.

In recent times, group theory has found wider applications in various fields of algebra and mathematics in general.

Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.

A detailed and unified treatment of $P$-adic differential equations, from the basic principles to the current frontiers of research.

Alan Baker''s systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.

Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.

Leading experts explore the relation between periods and transcendental numbers, using a modern approach derived from the theory of motives.

A concise and well-motivated introduction to algebraic number theory, following the evolution of unique prime factorization through history.

Fill in any gaps in your knowledge with this overview of key topics in undergraduate mathematics, now with four new chapters.

Fill in any gaps in your knowledge with this overview of key topics in undergraduate mathematics, now with four new chapters.

In recent times, group theory has found wider applications in various fields of algebra and mathematics in general.

Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras.

Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras.

Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains.

Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains.

Contains 25 surveys in algebra and model theory, all written by leading experts in the field.

Contains 25 surveys in algebra and model theory, all written by leading experts in the field.

This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings.

Since 1973, Galois theory has been educating undergraduate students on Galois groups and classical Galois theory.

Since 1973, Galois theory has been educating undergraduate students on Galois groups and classical Galois theory.

Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner.

Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner.

Number Theory and its Applications is a textbook for students pursuing mathematics as major in undergraduate and postgraduate courses.

Number Theory and its Applications is a textbook for students pursuing mathematics as major in undergraduate and postgraduate courses.

Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century.

Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century.

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research.

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research.

Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the first book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules.

Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the first book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules.

Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small.

Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small.

Differential Equations in Engineering: Research and Applications describes advanced research in the field of the applications of differential equations in engineering and the sciences, and offers a sound theoretical background, along with case studies.

Differential Equations in Engineering: Research and Applications describes advanced research in the field of the applications of differential equations in engineering and the sciences, and offers a sound theoretical background, along with case studies.

Linear algebra provides the essential mathematical tools to tackle all the problems in Science.

Linear algebra provides the essential mathematical tools to tackle all the problems in Science.

Elementary Number Theory, Gove Effinger, Gary L.

Elementary Number Theory, Gove Effinger, Gary L.

This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available.

This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available.

Proofs 101: An Introduction to Formal Mathematics serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and a first course in linear algebra.