A First Course in Abstract Algebra, Anderson, Marlow

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)
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Цена: 34490.00 T
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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
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Цена: 29340.00 T
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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: Gallian Joseph A.
Название: Contemporary Abstract Algebra
ISBN: 1305657969 ISBN-13(EAN): 9781305657960
Издательство: Cengage Learning
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Цена: 79190.00 T
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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: Alain Escassut
Название: Banach Algebras of Ultrametric Functions
ISBN: 9811251657 ISBN-13(EAN): 9789811251658
Издательство: World Scientific Publishing
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Цена: 171810.00 T
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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: Knop, Larry E.
Название: Linear Algebra
ISBN: 1584887826 ISBN-13(EAN): 9781584887829
Издательство: Taylor&Francis
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Цена: 148010.00 T
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Автор: Hungerford, Thomas (st. Louis University) Hungerford, Thomas (cleveland State University)
Название: Abstract algebra
ISBN: 1111569622 ISBN-13(EAN): 9781111569624
Издательство: Cengage Learning
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Цена: 74970.00 T
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Автор: Atanasiu Dragu, Mikusinski Piotr
Название: Linear Algebra: Core Topics For The First Course
ISBN: 9811215960 ISBN-13(EAN): 9789811215964
Издательство: World Scientific Publishing
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Цена: 68640.00 T
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Описание: The book is an introduction to linear algebra intended as a textbook for the first course in linear algebra. In the first six chapters we present the core topics: matrices, the vector space ℝn, orthogonality in ℝn, determinants, eigenvalues and eigenvectors, and linear transformations. The book gives students an opportunity to better understand linear algebra in the next three chapters: Jordan forms by examples, singular value decomposition, and quadratic forms and positive definite matrices.In the first nine chapters everything is formulated in terms of ℝn. This makes the ideas of linear algebra easier to understand. The general vector spaces are introduced in Chapter 10. The last chapter presents problems solved with a computer algebra system. At the end of the book we have results or solutions for odd numbered exercises.

Автор: Atanasiu Dragu, Mikusinski Piotr
Название: Linear Algebra: Core Topics For The First Course
ISBN: 9811215022 ISBN-13(EAN): 9789811215025
Издательство: World Scientific Publishing
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Цена: 126720.00 T
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Описание: The book is an introduction to linear algebra intended as a textbook for the first course in linear algebra. In the first six chapters we present the core topics: matrices, the vector space ℝn, orthogonality in ℝn, determinants, eigenvalues and eigenvectors, and linear transformations. The book gives students an opportunity to better understand linear algebra in the next three chapters: Jordan forms by examples, singular value decomposition, and quadratic forms and positive definite matrices.In the first nine chapters everything is formulated in terms of ℝn. This makes the ideas of linear algebra easier to understand. The general vector spaces are introduced in Chapter 10. The last chapter presents problems solved with a computer algebra system. At the end of the book we have results or solutions for odd numbered exercises.

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
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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: Cavalieri
Название: Riemann Surfaces and Algebraic Curves
ISBN: 110714924X ISBN-13(EAN): 9781107149243
Издательство: Cambridge Academ
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Цена: 120390.00 T
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Описание: Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field in algebraic geometry. Designed for undergraduate study, this classroom-tested text demonstrates the connections between diverse areas of mathematics and features short essays by guest writers as well as over 100 exercises for the reader.

Автор: Eie Minking & Chang Shou-Te
Название: First Course In Linear Algebra, A
ISBN: 981314310X ISBN-13(EAN): 9789813143104
Издательство: World Scientific Publishing
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Цена: 77090.00 T
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"The text itself is well-written. Each chapter begins with a brief synopsis which nicely captures the heart of the chapter, and there are enough boldface headings and vocabulary to keep the reader oriented to the task at hand."

MAA Reviews

A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook, can already understand any Linear Algebra used in more advanced books and research papers in Mathematics or in other scientific disciplines.

This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices. One may thus use different viewpoints to manipulate a matrix instead of a one-sided approach. Although most of the examples are for real and complex matrices, a vector space over a general field is briefly discussed. Several optional sections are devoted to applications to demonstrate the power of Linear Algebra.

Автор: Wickless, W.J.
Название: A First Graduate Course in Abstract Algebra
ISBN: 0367394413 ISBN-13(EAN): 9780367394417
Издательство: Taylor&Francis
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Цена: 67360.00 T
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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.