Basic Abstract Algebra

Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486318117
Format: PDF, ePub, Mobi
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Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.

A Course in Algebraic Number Theory

Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486477541
Format: PDF, ePub, Mobi
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This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as the number field case. It illustrates the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition.

Real Variables with Basic Metric Space Topology

Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486472205
Format: PDF, Mobi
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Designed for a first course in real variables, this text encourages intuitive thinking and features detailed solutions to problems. Topics include complex variables, measure theory, differential equations, functional analysis, probability. 1993 edition.

Abstract Algebra

Author: W. E. Deskins
Publisher: Courier Corporation
ISBN: 0486158462
Format: PDF, Mobi
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Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.

Elements of Abstract Algebra

Author: Allan Clark
Publisher: Courier Corporation
ISBN: 9780486647258
Format: PDF, ePub, Mobi
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Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.

A First Graduate Course in Abstract Algebra

Author: W.J. Wickless
Publisher: CRC Press
ISBN: 135198974X
Format: PDF, Mobi
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Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both challenging and stimulating. A First Graduate Course in Abstract Algebra is just such a textbook. Divided into two sections, this book covers both the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and more advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. The author includes review material where needed instead of in a single chapter, giving convenient access with minimal page turning. He also provides ample examples, exercises, and problem sets to reinforce the material. This book illustrates the theory of finitely generated modules over principal ideal domains, discusses tensor products, and demonstrates the development of determinants. It also covers Sylow theory and Jordan canonical form. A First Graduate Course in Abstract Algebra is ideal for a two-semester course, providing enough examples, problems, and exercises for a deep understanding. Each of the final three chapters is logically independent and can be covered in any order, perfect for a customized syllabus.

Abstract Algebra and Solution by Radicals

Author: John Edward Maxfield
Publisher: Courier Corporation
ISBN: 0486477231
Format: PDF, ePub, Mobi
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The American Mathematical Monthly recommended this advanced undergraduate-level text for teacher education. It starts with groups, rings, fields, and polynomials and advances to Galois theory, radicals and roots of unity, and solution by radicals. Numerous examples, illustrations, commentaries, and exercises enhance the text, along with 13 appendices. 1971 edition.

Statistical Inference

Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486481581
Format: PDF
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This book offers a brief course in statistical inference that requires only a basic familiarity with probability and matrix and linear algebra. Ninety problems with solutions make it an ideal choice for self-study as well as a helpful review of a wide-ranging topic with important uses to professionals in business, government, public administration, and other fields. 2011 edition.

A Course in Linear Algebra

Author: David B. Damiano
Publisher: Courier Corporation
ISBN: 0486469085
Format: PDF, Kindle
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"Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter contains an introduction, definitions, and propositions, in addition to multiple examples, lemmas, theorems, corollaries, andproofs. Each chapter features numerous supplemental exercises, and solutions to selected problems appear at the end. 1988 edition"--

Foundations of Galois Theory

Author: M.M. Postnikov
Publisher: Elsevier
ISBN: 1483156478
Format: PDF, Kindle
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Foundations of Galois Theory is an introduction to group theory, field theory, and the basic concepts of abstract algebra. The text is divided into two parts. Part I presents the elements of Galois Theory, in which chapters are devoted to the presentation of the elements of field theory, facts from the theory of groups, and the applications of Galois Theory. Part II focuses on the development of general Galois Theory and its use in the solution of equations by radicals. Equations that are solvable by radicals; the construction of equations solvable by radicals; and the unsolvability by radicals of the general equation of degree n ? 5 are discussed as well. Mathematicians, physicists, researchers, and students of mathematics will find this book highly useful.