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Mathematics
Abstract Algebra


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A Course on Abstract Algebra
A Course on Abstract Algebra
by Minking Eie
Book News Annotation
Elie and Chang (both mathematics, National Chung Cheng U., Taiwan) have produced a textbook for an undergraduate course in abstract algebra specifically for students whose first language is not English. They use simple and straightforward English to... (read more)

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Finite Dimensional Algebras
Finite Dimensional Algebras
by Yurij A. Drozd
Publisher Comments
The theory of finite-dimensional algebras is one of the most fundamental domains of modern algebra, applied in several other parts of mathematics andin theoretical physics. This book, written by two of the leading researchersin the field and revised and... (read more)

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Annals of Mathematics Studies #0082: Braids, Links, and Mapping Class Groups. (Am-82)
Annals of Mathematics Studies #0082: Braids, Links, and Mapping Class Groups. (Am-82)
by Joan S. Birman
Publisher Comments
The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology. In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points... (read more)

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A Concise Introduction to Linear Algebra
A Concise Introduction to Linear Algebra
by G. Za Schay
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Building on the author's... (read more)

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Fundamental Concepts of Abstract Algebra (Dover Books on Mathematics)
Fundamental Concepts of Abstract Algebra (Dover Books on Mathematics)
by Gertrude Ehrlich
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Designed to offer undergraduate mathematics majors insights into the main themes of abstract algebra, this text contains ample material for a two-semester course. Its extensive coverage includes set theory, groups, rings, modules, vector spaces, and... (read more)

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The Linear Algebra a Beginning Graduate Student Ought to Know
The Linear Algebra a Beginning Graduate Student Ought to Know
by Jonathan S. Golan
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Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It... (read more)

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Graduate Texts in Mathematics #91: The Geometry of Discrete Groups
Graduate Texts in Mathematics #91: The Geometry of Discrete Groups
by Alan F. Beardon
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This text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Möbius transformations in n-dimensional Euclidean space is developed. These transformations are discussed as isometries of... (read more)

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Integral Closure
Integral Closure
by Wolmer Vsconcelos
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This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas.... (read more)

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Exploratory Galois Theory
Exploratory Galois Theory
by John Swallow
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Combining a concrete perspective with an exploration-based approach, this analysis develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and only... (read more)

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Pure and Applied Mathematics: A Wiley Series of Texts, Monog #106: Galois Theory
Pure and Applied Mathematics: A Wiley Series of Texts, Monog #106: Galois Theory
by David A. Cox
Publisher Comments
Praise for the First Edition ". . .will certainly fascinate anyone interested in abstract algebra: a remarkable book!"—Monatshefte fur Mathematik Galois theory is one of the most established topics in mathematics, with historical roots that led to... (read more)

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Encyclopedia of Mathematics and Its Applications #141: Hadamard Expansions and Hyperasymptotic Evaluation: An Extension of the Method of Steepest Descents
Encyclopedia of Mathematics and Its Applications #141: Hadamard Expansions and Hyperasymptotic Evaluation: An Extension of the Method of Steepest Descents
by R. B. Paris
Publisher Comments
The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation of Laplace and Laplace-type integrals. This brand new method builds on the well-known asymptotic method of steepest... (read more)

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Springer Series in Statistics #199: Markov Bases in Algebraic Statistics
Springer Series in Statistics #199: Markov Bases in Algebraic Statistics
by Satoshi Aoki
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Algebraic statistics is a rapidly developing field, where ideas from statistics and algebra meet and stimulate new research directions. One of the origins of algebraic statistics is the work by Diaconis and Sturmfels in 1998 on the use of Gr\"obner bases... (read more)

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Lecture Notes in Mathematics #2032: Algebraic Topology of Finite Topological Spaces and Applications
Lecture Notes in Mathematics #2032: Algebraic Topology of Finite Topological Spaces and Applications
by Jonathan Barmak
Publisher Comments
This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic combinatorial and topological structures makes finite spaces a useful... (read more)

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Progress in Mathematics #299: Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift
Progress in Mathematics #299: Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift
by Folkert M. Ller-hoissen
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Tamari lattices originated from weakenings or reinterpretations of the familar associativity law... (read more)

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Graduate Texts in Mathematics #4: A Course in Homological Algebra
Graduate Texts in Mathematics #4: A Course in Homological Algebra
by Peter J. Hilton
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Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In the new edition of this broad introduction to the... (read more)

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Algebraic Models for Accounting Systems
Algebraic Models for Accounting Systems
by Salvador Cruz Rambaud
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This book describes the construction of algebraic models which represent the operations of the double-entry accounting system. It presents a novel and comprehensive treatment of the subject and utilizes the methods and tools of abstract algebra... (read more)

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London Mathematical Society Student Texts #78: Clifford Algebras: An Introduction
London Mathematical Society Student Texts #78: Clifford Algebras: An Introduction
by D. J. H. Garling
Publisher Comments
Clifford algebras, built up from quadratic spaces, have applications in many areas of mathematics, as natural generalizations of complex numbers and the quaternions. They are famously used in proofs of the Atiyah-Singer index theorem, to provide double... (read more)

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Progress in Mathematics #304: Arithmetic and Geometry Around Galois Theory
Progress in Mathematics #304: Arithmetic and Geometry Around Galois Theory
by Pierre D. Bes
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This Lecture Notes volume... (read more)

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Advances in Mathematics #7: Ordered Sets
Advances in Mathematics #7: Ordered Sets
by Egbert Harzheim
Publisher Comments
The textbook literature on ordered sets is still rather limited. A lot of material is presented in this book that appears now for the first time in a textbook. Order theory works with combinatorial and set-theoretical methods, depending on whether the... (read more)

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Progress in Mathematics #297: Metric and Differential Geometry: The Jeff Cheeger Anniversary Volume
Progress in Mathematics #297: Metric and Differential Geometry: The Jeff Cheeger Anniversary Volume
by Xianzhe Dai
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Metric and Differential Geometry grew out... (read more)

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