Abstract Algebra with Applications, Spindler, Karlheinz
Автор: Alain Escassut Название: Banach Algebras of Ultrametric Functions ISBN: 9811251657 ISBN-13(EAN): 9789811251658 Издательство: World Scientific Publishing Рейтинг: Цена: 171810.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book examines ultrametric Banach algebras in general. It begins with algebras of continuous functions, and looks for maximal and prime ideals in connections with ultrafilters on the set of definition. The multiplicative spectrum has shown to be indispensable in ultrametric analysis and is described in the general context and then, in various cases of Banach algebras.Applications are made to various kind of functions: uniformly continuous functions, Lipschitz functions, strictly differentiable functions, defined in a metric space. Analytic elements in an algebraically closed complete field (due to M Krasner) are recalled with most of their properties linked to T-filters and applications to their Banach algebras, and to the ultrametric holomorphic functional calculus, with applications to spectral properties. The multiplicative semi-norms of Krasner algebras are characterized by circular filters with a metric and an order that are examined.The definition of the theory of affinoid algebras due to J Tate is recalled with all the main algebraic properties (including Krasner-Tate algebras). The existence of idempotents associated to connected components of the multiplicative spectrum is described.
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: Gallian Joseph A. Название: Contemporary Abstract Algebra ISBN: 1305657969 ISBN-13(EAN): 9781305657960 Издательство: Cengage Learning Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: CONTEMPORARY ABSTRACT ALGEBRA, NINTH EDITION is primarily intended for an abstract algebra course whose main purpose is to enable students to do computations and write proofs. Gallian�s text stresses the importance of obtaining a solid introduction to the traditional topics of abstract algebra, while at the same time presenting it as a contemporary and very much an active subject which is currently being used by working physicists, chemists, and computer scientists.
Автор: Hungerford, Thomas (st. Louis University) Hungerford, Thomas (cleveland State University) Название: Abstract algebra ISBN: 1111569622 ISBN-13(EAN): 9781111569624 Издательство: Cengage Learning Рейтинг: Цена: 74970.00 T Наличие на складе: Нет в наличии.
Автор: Gray Название: A History of Abstract Algebra ISBN: 3319947729 ISBN-13(EAN): 9783319947723 Издательство: Springer Рейтинг: Цена: 35390.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Introduction.- 1 Simple quadratic forms.- 2 Fermat's Last Theorem.- 3 Lagrange's theory of quadratic forms.- 4 Gauss's Disquisitiones Arithmeticae.- 5 Cyclotomy.- 6 Two of Gauss's proofs of quadratic reciprocity.- 7 Dirichlet's Lectures.- 8 Is the quintic unsolvable?.- 9 The unsolvability of the quintic.- 10 Galois's theory.- 11 After Galois - Introduction.- 12 Revision and first assignment.- 13 Jordan's Traitй.- 14 Jordan and Klein.- 15 What is 'Galois theory'?.- 16 Algebraic number theory: cyclotomy.- 17 Dedekind's first theory of ideals.- 18 Dedekind's later theory of ideals.- 19 Quadratic forms and ideals.- 20 Kronecker's algebraic number theory.- 21 Revision and second assignment.- 22 Algebra at the end of the 19th century.- 23 The concept of an abstract field.- 24 Ideal theory.- 25 Invariant theory.- 26 Hilbert's Zahlbericht.- 27 The rise of modern algebra - group theory.- 28 Emmy Noether.- 29 From Weber to van der Waerden.- 30 Revision and final assignment.- A Polynomial equations in the 18th Century.- B Gauss and composition of forms.- C Gauss on quadratic reciprocity.- D From Jordan's Traitй.- E Klein's Erlanger Programm.- F From Dedekind's 11th supplement.- G Subgroups of S4 and S5.- H Curves.- I Resultants.- Bibliography.- Index.
Автор: Gallian, Joseph A. Название: Contemporary abstract algebra ISBN: 0367651785 ISBN-13(EAN): 9780367651787 Издательство: Taylor&Francis Рейтинг: Цена: 91860.00 T Наличие на складе: Невозможна поставка. Описание: CONTEMPORARY ABSTRACT ALGEBRA, TENTH EDITION is primarily intended for an abstract algebra course whose main purpose is to enable students to do computations and write proofs.
Автор: Garrett Название: Abstract algebra ISBN: 1584886897 ISBN-13(EAN): 9781584886891 Издательство: Taylor&Francis Рейтинг: Цена: 183750.00 T Наличие на складе: Невозможна поставка. Описание: Emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This provides important specific illustrations of general theory, discussing finite fields, cyclotomic polynomials, and cyclotomic fields.
Автор: Jeffrey Bergen Название: A Concrete Approach to Abstract Algebra, ISBN: 0123749417 ISBN-13(EAN): 9780123749413 Издательство: Elsevier Science Рейтинг: Цена: 77570.00 T 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: 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: 34310.00 T 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: Horn Название: Matrix Analysis ISBN: 0521548233 ISBN-13(EAN): 9780521548236 Издательство: Cambridge Academ Рейтинг: Цена: 60190.00 T 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: Sather Wagstaff Sean Название: Progress in Commutative Algebra 2 ISBN: 3110278596 ISBN-13(EAN): 9783110278590 Издательство: Walter de Gruyter Рейтинг: Цена: 198290.00 T 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.
Автор: Cabrera Garc?a Название: Non-Associative Normed Algebras ISBN: 1107043069 ISBN-13(EAN): 9781107043060 Издательство: Cambridge Academ Рейтинг: Цена: 185850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume of two focuses on C*-algebras and related structure.
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