Abstract Algebra, David R. Finston; Patrick J. Morandi

Автор: Dummit, David S. Foote, Richard M.
Название: Abstract Algebra, 3rd Edition
ISBN: 0471433349 ISBN-13(EAN): 9780471433347
Издательство: Wiley
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Цена: 142510.00 T
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Описание: Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics.

Автор: Smith
Название: Introduction to Abstract Algebra, Second Edition
ISBN: 1498731619 ISBN-13(EAN): 9781498731614
Издательство: Taylor&Francis
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Цена: 107190.00 T
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Описание:

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups.
This new edition of a widely adopted textbook covers applications from biology, science, and engineering. It offers numerous updates based on feedback from first edition adopters, as well as improved and simplified proofs of a number of important theorems. Many new exercises have been added, while new study projects examine skewfields, quaternions, and octonions.
The first three chapters of the book show how functional composition, cycle notation for permutations, and matrix notation for linear functions provide techniques for practical computation. These three chapters provide a quick introduction to algebra, sufficient to exhibit irrational numbers or to gain a taste of cryptography.
Chapters four through seven cover abstract groups and monoids, orthogonal groups, stochastic matrices, Lagrange's theorem, groups of units of monoids, homomorphisms, rings, and integral domains. The first seven chapters provide basic coverage of abstract algebra, suitable for a one-semester or two-quarter course.
Each chapter includes exercises of varying levels of difficulty, chapter notes that point out variations in notation and approach, and study projects that cover an array of applications and developments of the theory.
The final chapters deal with slightly more advanced topics, suitable for a second-semester or third-quarter course. These chapters delve deeper into the theory of rings, fields, and groups. They discuss modules, including vector spaces and abelian groups, group theory, and quasigroups.
This textbook is suitable for use in an undergraduate course on abstract algebra for mathematics, computer science, and education majors, along with students from other STEM fields.

Автор: Jaisingh Lloyd R., Jasingh Lloyd R., Ayres Frank J
Название: Schaum`s Outline of Abstract Algebra
ISBN: 0071403272 ISBN-13(EAN): 9780071403276
Издательство: McGraw-Hill
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Цена: 34310.00 T
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Описание: Presents abstract algebra course information in an easy-to-follow, topic-by-topic format. This title provides you with many examples, solved problems, and practice exercises to test your skills. It gives you: practice problems with explanations that reinforce knowledge, and coverage of developments in your course field.

Автор: Jeffrey Bergen
Название: A Concrete Approach to Abstract Algebra,
ISBN: 0123749417 ISBN-13(EAN): 9780123749413
Издательство: Elsevier Science
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Цена: 77570.00 T
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Описание: This book introduces a new, collaborative action methodology-called synergic inquiry (SI)-for both investigating and effecting transformative change among our individual and collective lives. It is inspired to work within the four levels of our lives-the mental, the social, the political, and the spiritual. In this text, editors Yongming Tang and Charles Joiner stress a strong theory/practice mix.