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: 34490.00 T Наличие на складе: Есть 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: Dummit, David S. Foote, Richard M. Название: Abstract Algebra, 3rd Edition ISBN: 0471433349 ISBN-13(EAN): 9780471433347 Издательство: Wiley Рейтинг: Цена: 142510.00 T 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: Kenneth S Williams, Vlastimil Dlab Название: Invitation To Algebra: A Resource Compendium For Teachers, Advanced Undergraduate Students And Graduate Students In Mathematics ISBN: 9811219974 ISBN-13(EAN): 9789811219979 Издательство: World Scientific Publishing Рейтинг: Цена: 132000.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a compendium style account of a comprehensive mathematical journey from Arithmetic to Algebra. It contains material that is helpful to graduate and advanced undergraduate students in mathematics, university and college professors teaching mathematics, as well as some mathematics teachers teaching in the final year of high school. A successful teacher must know more than what a particular course curriculum asks for. A number of topics that are missing in present-day textbooks, and which may be attractive to students at the graduate or advanced undergraduate level in mathematics, for example, continued fractions, arithmetic progressions of higher order, complex numbers in plane geometry, differential schemes, path semigroups and path algebras, have been carefully presented. This reflects the aim of the book to attract students to mathematics.
Автор: Lee, Gregory T. Название: Abstract algebra ISBN: 3319776487 ISBN-13(EAN): 9783319776484 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Есть 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: 81310.00 T 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: 127510.00 T Наличие на складе: Нет в наличии. 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: Eie Minking & Chang Shou-Te Название: Course On Abstract Algebra, A ISBN: 9814271888 ISBN-13(EAN): 9789814271882 Издательство: World Scientific Publishing Рейтинг: Цена: 57030.00 T 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: Peter J. Hilton; Urs Stammbach Название: A Course in Homological Algebra ISBN: 0387948236 ISBN-13(EAN): 9780387948232 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. This title addresses a number of select topics and describes their applications, illustrating the range and depth of their developments.
Автор: Peter J. Hilton; Urs Stammbach Название: A Course in Homological Algebra ISBN: 1461264383 ISBN-13(EAN): 9781461264385 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory.
Автор: Pierre Antoine Grillet Название: Abstract Algebra ISBN: 1441924507 ISBN-13(EAN): 9781441924506 Издательство: Springer Рейтинг: Цена: 51200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
About the first edition:
"The text is geared to the needs of the beginning graduate student, covering with complete, well-written proofs the usual major branches of groups, rings, fields, and modules... n]one of the material one expects in a book like this is missing, and the level of detail is appropriate for its intended audience." (Alberto Delgado, MathSciNet)
"This text promotes the conceptual understanding of algebra as a whole, and that with great methodological mastery. Although the presentation is predominantly abstract...it nevertheless features a careful selection of important examples, together with a remarkably detailed and strategically skillful elaboration of the more sophisticated, abstract theories." (Werner Kleinert, Zentralblatt)
For the new edition, the author has completely rewritten the text, reorganized many of the sections, and even cut or shortened material which is no longer essential. He has added a chapter on Ext and Tor, as well as a bit of topology.
Автор: Moskowitz Martin & Farmakis Ioannis Название: Graduate Course In Algebra, A - Volume 1 ISBN: 9813142626 ISBN-13(EAN): 9789813142626 Издательство: World Scientific Publishing Цена: 91870.00 T 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: Wickless, W.J. Название: A First Graduate Course in Abstract Algebra ISBN: 0367394413 ISBN-13(EAN): 9780367394417 Издательство: Taylor&Francis Рейтинг: Цена: 67360.00 T 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.
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