Applied Abstract Algebra, Rudolf Lidl; G?nter Pilz
Автор: Nachtergaele Bruno Et Al Название: Linear Algebra As An Introduction To Abstract Mathematics ISBN: 9814730351 ISBN-13(EAN): 9789814730358 Издательство: World Scientific Publishing Цена: 9187.00 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: Pierre Antoine Grillet Название: Abstract Algebra ISBN: 1441924507 ISBN-13(EAN): 9781441924506 Издательство: Springer Рейтинг: Цена: 7680.00 р. 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: Herstein Название: Abstract Algebra 3e (WSE) ISBN: 0471368792 ISBN-13(EAN): 9780471368793 Издательство: Wiley Рейтинг: Цена: 21534.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.
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: Allen C. Hibbard; Kenneth M. Levasseur Название: Exploring Abstract Algebra With Mathematica® ISBN: 0387986197 ISBN-13(EAN): 9780387986197 Издательство: Springer Рейтинг: Цена: 7959.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents "Exploring Abstract Algebra with Mathematica".
Автор: N. Jacobson Название: Lectures in Abstract Algebra ISBN: 1468470558 ISBN-13(EAN): 9781468470550 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presup- posed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essential tools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A stu- dent well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text.
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