Learning Abstract Algebra with ISETL, Ed Dubinsky; Uri Leron
Автор: Ed Dubinsky; Uri Leron Название: Learning Abstract Algebra with ISETL ISBN: 0387941045 ISBN-13(EAN): 9780387941042 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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. This course features activities such as computer constructions, specifically, small programs written in the mathlike programming language ISETL.
Описание: Teaches matrix algebra, allowing the student to learn the material by actually working with matrix objects in modern computer environment of R. This book provides an overview of matrix theory without being bogged down in proofs or tedium.
Описание: Teaches matrix algebra, allowing the student to learn the material by actually working with matrix objects in modern computer environment of R. This book provides a comprehensive overview of matrix theory without being bogged down in proofs or tedium.
Автор: Eie Minking & Chang Shou-Te Название: Course On Abstract Algebra, A ISBN: 9814271888 ISBN-13(EAN): 9789814271882 Издательство: World Scientific Publishing Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: 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. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Smith Название: Introduction to Abstract Algebra, Second Edition ISBN: 1498731619 ISBN-13(EAN): 9781498731614 Издательство: Taylor&Francis Рейтинг: Цена: 16078.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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