Автор: Dummit, David S. Foote, Richard M. Название: Abstract Algebra, 3rd Edition ISBN: 0471433349 ISBN-13(EAN): 9780471433347 Издательство: Wiley Рейтинг: Цена: 21376.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Hodge Название: Abstract Algebra ISBN: 1466567066 ISBN-13(EAN): 9781466567061 Издательство: Taylor&Francis Рейтинг: Цена: 10717.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think.
The book can be used in both rings-first and groups-first abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Through this engaging learning process, students discover new ideas and develop the necessary communication skills and rigor to understand and apply concepts from abstract algebra. In addition to the activities and exercises, each chapter includes a short discussion of the connections among topics in ring theory and group theory. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text.
Encouraging students to do mathematics and be more than passive learners, this text shows students that the way mathematics is developed is often different than how it is presented; that definitions, theorems, and proofs do not simply appear fully formed in the minds of mathematicians; that mathematical ideas are highly interconnected; and that even in a field like abstract algebra, there is a considerable amount of intuition to be found.
Автор: Horn Название: Matrix Analysis ISBN: 0521548233 ISBN-13(EAN): 9780521548236 Издательство: Cambridge Academ Рейтинг: Цена: 9029.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The thoroughly revised and updated second edition of this acclaimed text for a second course on linear algebra has more than 1,100 problems and exercises, along with new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices and much more.
Автор: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
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 Рейтинг: Цена: 5146.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 11635.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Sather Wagstaff Sean Название: Progress in Commutative Algebra 2 ISBN: 3110278596 ISBN-13(EAN): 9783110278590 Издательство: Walter de Gruyter Рейтинг: Цена: 29744.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry).
This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure.
Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely generated. The final three papers in this volume investigate factorization in a broad sense. The first paper by Celikbas and Eubanks-Turner discusses the partially ordered set of prime ideals of the projective line over the integers. The editors have also included a paper on zero divisor graphs by Coykendall, Sather-Wagstaff, Sheppardson and Spiroff. The final paper, by Chapman and Krause, concerns non-unique factorization.
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