Learning Abstract Algebra with ISETL, Ed Dubinsky; Uri Leron

Автор: David R. Finston; Patrick J. Morandi
Название: Abstract Algebra
ISBN: 3319343955 ISBN-13(EAN): 9783319343952
Издательство: Springer
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Цена: 5589.00 р.
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Описание: This book starts with concrete topics and applications based on everyday experiences that naturally lead students to algebraic questions and concepts. The down-to-earth presentation is accessible to an audience with no previous knowledge of the subject.

Автор: Eie Minking & Chang Shou-Te
Название: Course On Abstract Algebra, A
ISBN: 9814271888 ISBN-13(EAN): 9789814271882
Издательство: World Scientific Publishing
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Цена: 8554.00 р.
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Описание: Offers an introduction to abstract algebra for advanced undergraduate students. This book discusses the general theory of ideals as well as maximal ideals in the rings of polynomials over the rational numbers. It focuses on field theory and Galois theory to illustrate the correspondence between the Galois groups and field extensions.

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: 5146.00 р.
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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: Allen C. Hibbard; Kenneth M. Levasseur
Название: Exploring Abstract Algebra With Mathematica®
ISBN: 0387986197 ISBN-13(EAN): 9780387986197
Издательство: Springer
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Цена: 7959.00 р.
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Описание: Presents "Exploring Abstract Algebra with Mathematica".

Автор: Nachtergaele Bruno Et Al
Название: Linear Algebra As An Introduction To Abstract Mathematics
ISBN: 9814723770 ISBN-13(EAN): 9789814723770
Издательство: World Scientific Publishing
Цена: 4752.00 р.
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Описание:

This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.

Автор: Ed Dubinsky; Uri Leron
Название: Learning Abstract Algebra with ISETL
ISBN: 1461276020 ISBN-13(EAN): 9781461276029
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation.

Автор: Smith
Название: Introduction to Abstract Algebra, Second Edition
ISBN: 1498731619 ISBN-13(EAN): 9781498731614
Издательство: Taylor&Francis
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Цена: 16078.00 р.
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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.