A First Graduate Course in Abstract Algebra, Wickless, W.J.
Автор: E.B. Vinberg Название: A Course in Algebra Graduate Studies in Mathematics, Volume: 56 ISBN: 0821834134 ISBN-13(EAN): 9780821834138 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 5174.00 р. Наличие на складе: Есть (более 5-х шт.) Описание: Presents modern algebra. This book includes such topics as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. It is suitable for independent study for advanced undergraduates and graduate students.
Автор: Lee, Gregory T. Название: Abstract algebra ISBN: 3319776487 ISBN-13(EAN): 9783319776484 Издательство: Springer Рейтинг: Цена: 4268.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields.
Автор: Eie Minking, Chang Shou-Te Название: A Course on Abstract Algebra: Second Edition ISBN: 9813229624 ISBN-13(EAN): 9789813229624 Издательство: World Scientific Publishing Цена: 12197.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors' notes at the Department of Mathematics, National Chung Cheng University, it contains material sufficient for three semesters of study. It begins with a description of the algebraic structures of the ring of integers and the field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's theorem and Sylow's theorems follow as applications of group theory. The theory of rings and ideals forms the second part of this textbook, with the ring of integers, the polynomial rings and matrix rings as basic examples. Emphasis will be on factorization in a factorial domain. The final part of the book focuses on field extensions and Galois theory to illustrate the correspondence between Galois groups and splitting fields of separable polynomials.
Three whole new chapters are added to this second edition. Group action is introduced to give a more in-depth discussion on Sylow's theorems. We also provide a formula in solving combinatorial problems as an application. We devote two chapters to module theory, which is a natural generalization of the theory of the vector spaces. Readers will see the similarity and subtle differences between the two. In particular, determinant is formally defined and its properties rigorously proved.
The textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.
Автор: Michael Artin Название: Algebraic Geometry: Notes on a Course ISBN: 1470468484 ISBN-13(EAN): 9781470468484 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 19127.00 р. Наличие на складе: Поставка под заказ.
Описание: Provides an introduction to the geometry of complex algebraic varieties. The book is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. It is a suitable text for a beginning graduate course or an advanced undergraduate course.
Автор: Wickless, W.J. Название: A First Graduate Course in Abstract Algebra ISBN: 0367394413 ISBN-13(EAN): 9780367394417 Издательство: Taylor&Francis Рейтинг: Цена: 10717.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
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.
Автор: Moskowitz Martin & Farmakis Ioannis Название: Graduate Course In Algebra, A - Volume 1 ISBN: 9813142626 ISBN-13(EAN): 9789813142626 Издательство: World Scientific Publishing Цена: 13781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'I like the authors (TM) taste in footnotes, what with their frequent emphasis on history, i.e. the minutiae of the lives of many mathematicians appearing in these pages. Their remarks add a particular dimension of fun and pleasure to what I think is a very good book. It (TM)s pitched at the right level, it does a lot of serious stuff in preparation for what is coming the students (TM) way in the future, and it does it well.'MAA ReviewsThis comprehensive two-volume book deals with algebra, broadly conceived. Volume 1 (Chapters 1-6) comprises material for a first year graduate course in algebra, offering the instructor a number of options in designing such a course. Volume 1, provides as well all essential material that students need to prepare for the qualifying exam in algebra at most American and European universities. Volume 2 (Chapters 7-13) forms the basis for a second year graduate course in topics in algebra. As the table of contents shows, that volume provides ample material accommodating a variety of topics that may be included in a second year course. To facilitate matters for the reader, there is a chart showing the interdependence of the chapters.
Автор: Moskowitz Martin & Farmakis Ioannis Название: Graduate Course In Algebra, A - Volume 2 ISBN: 9813142677 ISBN-13(EAN): 9789813142671 Издательство: World Scientific Publishing Цена: 8237.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'I like the authors (TM) taste in footnotes, what with their frequent emphasis on history, i.e. the minutiae of the lives of many mathematicians appearing in these pages. Their remarks add a particular dimension of fun and pleasure to what I think is a very good book. It (TM)s pitched at the right level, it does a lot of serious stuff in preparation for what is coming the students (TM) way in the future, and it does it well.'MAA ReviewsThis comprehensive two-volume book deals with algebra, broadly conceived. Volume 1 (Chapters 1-6) comprises material for a first year graduate course in algebra, offering the instructor a number of options in designing such a course. Volume 1, provides as well all essential material that students need to prepare for the qualifying exam in algebra at most American and European universities. Volume 2 (Chapters 7-13) forms the basis for a second year graduate course in topics in algebra. As the table of contents shows, that volume provides ample material accommodating a variety of topics that may be included in a second year course. To facilitate matters for the reader, there is a chart showing the interdependence of the chapters.
Автор: Moskowitz Martin & Farmakis Ioannis Название: Graduate Course In Algebra, A - Volume 2 ISBN: 9813142669 ISBN-13(EAN): 9789813142664 Издательство: World Scientific Publishing Цена: 13781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'I like the authors (TM) taste in footnotes, what with their frequent emphasis on history, i.e. the minutiae of the lives of many mathematicians appearing in these pages. Their remarks add a particular dimension of fun and pleasure to what I think is a very good book. It (TM)s pitched at the right level, it does a lot of serious stuff in preparation for what is coming the students (TM) way in the future, and it does it well.'MAA ReviewsThis comprehensive two-volume book deals with algebra, broadly conceived. Volume 1 (Chapters 1-6) comprises material for a first year graduate course in algebra, offering the instructor a number of options in designing such a course. Volume 1, provides as well all essential material that students need to prepare for the qualifying exam in algebra at most American and European universities. Volume 2 (Chapters 7-13) forms the basis for a second year graduate course in topics in algebra. As the table of contents shows, that volume provides ample material accommodating a variety of topics that may be included in a second year course. To facilitate matters for the reader, there is a chart showing the interdependence of the chapters.
Автор: Moskowitz Martin & Farmakis Ioannis Название: Graduate Course In Algebra, A - Volume 1 ISBN: 9813142634 ISBN-13(EAN): 9789813142633 Издательство: World Scientific Publishing Цена: 8237.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'I like the authors (TM) taste in footnotes, what with their frequent emphasis on history, i.e. the minutiae of the lives of many mathematicians appearing in these pages. Their remarks add a particular dimension of fun and pleasure to what I think is a very good book. It (TM)s pitched at the right level, it does a lot of serious stuff in preparation for what is coming the students (TM) way in the future, and it does it well.'MAA ReviewsThis comprehensive two-volume book deals with algebra, broadly conceived. Volume 1 (Chapters 1-6) comprises material for a first year graduate course in algebra, offering the instructor a number of options in designing such a course. Volume 1, provides as well all essential material that students need to prepare for the qualifying exam in algebra at most American and European universities. Volume 2 (Chapters 7-13) forms the basis for a second year graduate course in topics in algebra. As the table of contents shows, that volume provides ample material accommodating a variety of topics that may be included in a second year course. To facilitate matters for the reader, there is a chart showing the interdependence of the chapters.
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: Lovett, Stephen (wheaton College, Illinois, Usa) Название: Abstract algebra ISBN: 1032289392 ISBN-13(EAN): 9781032289397 Издательство: Taylor&Francis Рейтинг: Цена: 15310.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook intends to serve as a first course in abstract algebra. The selection of topics serves both of the common trends in such a course: a balanced introduction to groups, rings, and fields; or a course that primarily emphasizes group theory. This book offers a unique feature in the lists of projects at the end of each section.
Автор: Anderson, Marlow Название: A First Course in Abstract Algebra ISBN: 1482245523 ISBN-13(EAN): 9781482245523 Издательство: Taylor&Francis Рейтинг: Цена: 14545.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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