Автор: Dummit, David S. Foote, Richard M. Название: Abstract Algebra, 3rd Edition ISBN: 0471433349 ISBN-13(EAN): 9780471433347 Издательство: Wiley Рейтинг: Цена: 22989 р. Наличие на складе: Поставка под заказ.
Описание: This text carefully develops the theory of different algebraic structures, beginning with basic definitions and moving to some in-depth results, using numerous examples and exercises to aid the reader`s understanding.
Автор: Lidl Название: Applied Abstract Algebra ISBN: 0387982906 ISBN-13(EAN): 9780387982908 Издательство: Springer Рейтинг: Цена: 5886 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a survey, accessible to junior/senior undergraduate students and containing many examples, solved exercises, and sets of problems, of some parts of
abstract algebra that are of use in many other areas of discrete mathematics. Three major themes are particularly relevant to computer science, Boolean algebras and switching circuits,
finite fields and algebraic coding, and semigroups and automata. The topics of the book can be studied independently of each other, although the book is a mathematics book, the
authors have made great efforts to address the needs of the users of the techniques that are being discussed.
There is a special emphasis on fully worked out computational
examples. More than 500 exercises accompany the 40 sections. This new edition includes major changes to the first edition: corrections and improvements to the first four chapters, a
new chapter on Cryptology, and an enlarged chapter on Applications of Groups.
n extensive chapter has been added to survey other (mostly recent) applications, many of which were not included in the first edition, nor are commonly found in undergraduate texts.
The book assumes knowledge of the material covered in a course on linear algebra and, preferably, a first course in (abstract) algebra covering the basics of groups, rings, and
Автор: Smith, Jonathan D.h. Название: Introduction to abstract algebra ISBN: 1420063715 ISBN-13(EAN): 9781420063714 Издательство: Taylor&Francis Рейтинг: Цена: 6060 р. Наличие на складе: Поставка под заказ.
Описание: Presents abstract algebra as the main tool underlying discrete mathematics and the digital world. This title discusses the fundamentals of abstract algebra, before offering a coverage of group and ring theory. Containing exercises, chapter notes, and study projects, it also provides examples of abstract algebra concepts in matrices and calculus.
Автор: Curtis Название: Abstract Linear Algebra ISBN: 0387972633 ISBN-13(EAN): 9780387972633 Издательство: Springer Цена: 4203 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Develops the standard topics of Linear Algebra. This book covers the Theorem of Hurwitz, which argues that the only normed algebras over the real numbers are the real numbers, the complex numbers, the quaternions, and the octonions.
Описание: The famous problems of squaring the circle, doubling the cube, and trisecting the angle have captured the imagination of both the professional and amateur
mathematician for over two thousand years. These problems, however, have not yielded to purely geometrical methods. It was only the development of abstract algebra in the
nineteenth century which enabled mathematicians to arrive at the surprising conclusion that these constructions are not possible.
This text aims to develop the abstract
Автор: Whitehead, Carol Название: Guide to abstract algebra ISBN: 0333794478 ISBN-13(EAN): 9780333794470 Издательство: Springer Рейтинг: Цена: 5609 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A second edition of this clear and readable text, introducing the basic topics of an introductory abstract algebra course. A wide variety of exercises and worked examples are provided. This edition has new sections on Polynomials, Finite Arithmetic and Complex Numbers.
Автор: Ayres, Frank Название: Schaum`s outline of modern abstract algebra ISBN: 0070026556 ISBN-13(EAN): 9780070026551 Издательство: McGraw-Hill Рейтинг: Цена: 1044 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aeons ago, a super-scientific culture known as `Angels` had left incomprehensible relics all over the galaxy. Among these phenomena were the Stations, whereby human spacecraft could jump instantly from one part of the galaxy to another. And from them the brilliant Angel technology could be explored and exploited. A study guide to abstract algebra, this title offers sample problems with fully worked solutions, including proofs of important theorems. It gives additional practice problems to solve on your own, working at your own speed. It contains chapters on sets, integers, groups, polynomials, and vector spaces.
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: 1044 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides an introduction to topics in abstract algebra, taking account of the developments in the theoretical and conceptual aspects of the discipline, particularly in the areas of groups and fields. This book includes: a section on binary linear codes; Automorphisms and Galois Theory; 450 solved problems; and more than 175 illustrative examples.
Автор: Jeffrey Bergen Название: A Concrete Approach to Abstract Algebra, ISBN: 0123749417 ISBN-13(EAN): 9780123749413 Издательство: Elsevier Science Рейтинг: Цена: 6644 р. 7382.00-10% Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A Concrete Approach to Abstract Algebra presents a solid and highly accessible introduction to abstract algebra by providing details on the building blocks of abstract algebra. It begins with a concrete and thorough examination of familiar objects such as integers, rational numbers, real numbers, complex numbers, complex conjugation, and polynomials. The author then builds upon these familiar objects and uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices. The final four chapters present the more theoretical material needed for graduate study. This text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics which arise in courses in algebra, geometry, trigonometry, precalculus, and calculus.
Автор: Reis, Clive Название: Abstract algebra ISBN: 9814340286 ISBN-13(EAN): 9789814340281 Издательство: World Scientific Publishing Рейтинг: Цена: 7043 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya-Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems.Considerable emphasis is placed on the algebraic system consisting of congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced -- via congruence classes -- to the idea of cosets and factor groups. This enables the transition to cosets and factor objects in a more abstract setting to be relatively painless. The chapters dealing with applications help to reinforce the concepts and methods developed in the context of more down-to-earth problems.Most introductory texts in abstract algebra either avoid cosets, factor objects and homomorphisms completely or introduce them towards the end of the book. In this book, these topics are dealt with early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible, even if there are alternative methods of proof.
Автор: Nicholson W Keith Название: Introduction to Abstract Algebra ISBN: 1118296036 ISBN-13(EAN): 9781118296035 Издательство: Wiley Рейтинг: Цена: 12645 р. Наличие на складе: Поставка под заказ.
Описание: This is a self-contained introduction to the basic structures of abstract algebra and its applications. Classroom-tested over several decades, the book is self-contained and is ideal for self-study. The author has thoroughly reviewed and revised the book and has also significantly added to the discussion on modules over principle ideal domains.
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.
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