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Mathematics
Abstract Algebra


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Featured Titles in Mathematics - Abstract Algebra
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Groups, Rings, Modules (Dover Books on Mathematics)
Groups, Rings, Modules (Dover Books on Mathematics)
by Maurice Auslander
Publisher Comments
This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and... (read more)

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A Classical Introduction to Galois Theory
A Classical Introduction to Galois Theory
by Stephen C. Newman
Publisher Comments
Explore the foundations and modern applications of Galois theory Galois theory is widely regarded as one of the most elegant areas of mathematics. A Classical Introduction to Galois Theory develops the topic from a historical perspective, with an... (read more)

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Novelty, Information and Surprise
Novelty, Information and Surprise
by G. Nther Palm
Publisher Comments
The book offers a new approach to information theory that is more general then the classical approach by Shannon. The classical definition of information is given for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of... (read more)

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Field Theory
Field Theory
by Steven Roman
Publisher Comments
This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for a graduate course in field theory, or independent study. The reader is expected to have taken an undergraduate course in abstract algebra, not so... (read more)

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Noncommutative Grvbner Bases and Filtered-Graded Transfer
Noncommutative Grvbner Bases and Filtered-Graded Transfer
by H. Li
Publisher Comments
This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative... (read more)

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Introduction to Abstract Algebra
Introduction to Abstract Algebra
by W. Keith Nicholson
Publisher Comments
Please change to :This set contains: Introduction to Abstract Algebra, Fourth Edition  (978-1-1181-3535-8) and Solutions Manual to Accompany Introduction to Abstract Algebra, Fourth Edition (978-1-1182-8815-3) by W. Keith Nicholson.... (read more)

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Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics
Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics
by Christian Studer
Publisher Comments
This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application... (read more)

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Graduate Texts in Mathematics #175: An Introduction to Knot Theory
Graduate Texts in Mathematics #175: An Introduction to Knot Theory
by W. B. Raymond Lickorish
Publisher Comments
A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant... (read more)

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Algebra : Pure and Applied (02 Edition)
Algebra : Pure and Applied (02 Edition)
by Aigli Papantonopoulo
Publisher Comments
For a one-semester course covering groups and rings or a two-semester course in Abstract Algebra.This text provides thorough coverage of the main topics of abstract algebra while offering nearly 100 pages of applications. A repetition and examples first... (read more)

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A Sequence of Problems on Semigroups (Problem Books in Mathematics)
A Sequence of Problems on Semigroups (Problem Books in Mathematics)
by J. W. Neuberger
Publisher Comments
A Sequence of Problems on Semigroups consists of an arrangement of problems which are designed to develop a variety of aspects to understanding the area of one-parameter semigroups of operators. Written in the Socratic/Moore method, this is a problem... (read more)

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Integration of Functions
Integration of Functions
by Hardy G. H.
Publisher Comments
The first edition of Hardy's Integration of Functions of a Single Variable was published in 1905, with this 1916 second edition being reprinted up until 1966. Now this digital reprint of the second edition will allow the twenty-first-century reader a... (read more)

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Grundlehren Der Mathematischen Wissenschaften #328: Galois Theory of Linear Differential Equations
Grundlehren Der Mathematischen Wissenschaften #328: Galois Theory of Linear Differential Equations
by Marius Van Der Put
Publisher Comments
Linear differential equations form the central topic of this volume, Galois theory being the unifying theme. A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to... (read more)

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Foundations of Galois Theory (04 Edition)
Foundations of Galois Theory (04 Edition)
by M. M. Postnikov
Publisher Comments
The first part explores Galois theory, focusing on related concepts from field theory. The second part discusses the solution of equations by radicals, returning to the general theory of groups for relevant facts, examining equations solvable by... (read more)

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Galois Theory (Universitext)
Galois Theory (Universitext)
by Steven H. Weintraub
Publisher Comments
Galois theory is a mature mathematical subject of particular beauty. Any Galois theory book written nowadays bears a great debt to Emil Artin's classic text "Galois Theory," and this book is no exception. While Artin's book pioneered an approach to... (read more)

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Dynamical Systems of Algebraic Origin (Modern Birkh User Classics)
Dynamical Systems of Algebraic Origin (Modern Birkh User Classics)
by Klaus Schmidt
Publisher Comments
Although much of classical ergodic theory is concerned with single transformations and one-parameter flows, the subject inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with... (read more)

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Algebra and Applications #17: Syzygies and Homotopy Theory
Algebra and Applications #17: Syzygies and Homotopy Theory
by F. E. A. Johnson
Publisher Comments
The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much... (read more)

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Lecture Notes in Mathematics #2070: Probabilistic Group Theory, Combinatorics, and Computing: Lectures from the Fifth de Brun Workshop
Lecture Notes in Mathematics #2070: Probabilistic Group Theory, Combinatorics, and Computing: Lectures from the Fifth de Brun Workshop
by Alla Detinko
Publisher Comments
Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brún Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that have recently emerged at the... (read more)

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Graduate Texts in Mathematics #260: Monomial Ideals
Graduate Texts in Mathematics #260: Monomial Ideals
by J. Rgen Herzog
Synopsis
This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. In the text, theory is complemented by a number of examples and exercises.... (read more)

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Plane Algebraic Curves: Translated by John Stillwell (Modern Birkh User Classics)
Plane Algebraic Curves: Translated by John Stillwell (Modern Birkh User Classics)
by Egbert Brieskorn
Publisher Comments
In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and topic of research... (read more)

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Cambridge Tracts in Mathematics Cambridge Tracts in Mathemat #52: Fourier Transforms
Cambridge Tracts in Mathematics Cambridge Tracts in Mathemat #52: Fourier Transforms
by Richard R. Goldberg
Publisher Comments
This tract gives a clear exposition of the elementary theory of Fourier transforms, so arranged as to give easy access to the recently developed abstract theory of Fourier transforms on a locally compact group. (This latter subject has important... (read more)

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