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A First Course in Group Theory, Davvaz Bijan


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Автор: Davvaz Bijan
Название:  A First Course in Group Theory
ISBN: 9789811663642
Издательство: Springer
Классификация:


ISBN-10: 9811663645
Обложка/Формат: Hardcover
Страницы: 308
Вес: 0.61 кг.
Дата издания: 12.12.2021
Язык: English
Издание: 1st ed. 2021
Иллюстрации: 76 illustrations, color; 4 illustrations, black and white; xiv, 294 p. 80 illus., 76 illus. in color.
Размер: 23.39 x 15.60 x 1.91 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange`s theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth.


A Course in Finite Group Representation Theory

Автор: Webb
Название: A Course in Finite Group Representation Theory
ISBN: 1107162394 ISBN-13(EAN): 9781107162396
Издательство: Cambridge Academ
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Цена: 9979.00 р.
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Описание: This classroom-tested graduate text provides a thorough grounding in the representation theory of finite groups over fields and rings. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, and block theory.

A First Course in Computational Algebraic Geometry

Автор: Decker
Название: A First Course in Computational Algebraic Geometry
ISBN: 1107612535 ISBN-13(EAN): 9781107612532
Издательство: Cambridge Academ
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Цена: 2534.00 р.
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Описание: This quick guide is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. It provides a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the computer algebra system Singular.

First Course in Linear Algebra

Автор: Eie Minking
Название: First Course in Linear Algebra
ISBN: 9813143118 ISBN-13(EAN): 9789813143111
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание:

"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.

First Course In Linear Algebra, A

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: 11563.00 р.
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Описание:

"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.

A First Course in Information Theory

Автор: Raymond W. Yeung
Название: A First Course in Information Theory
ISBN: 1461346452 ISBN-13(EAN): 9781461346456
Издательство: Springer
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Цена: 16979.00 р.
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Описание: This book provides an up-to-date introduction to information theory. It provides the first comprehensive treatment of the theory of I-Measure, network coding theory, Shannon and non-Shannon type information inequalities, and a relation between entropy and group theory.

A First Course in Noncommutative Rings

Автор: T.Y. Lam
Название: A First Course in Noncommutative Rings
ISBN: 1468404083 ISBN-13(EAN): 9781468404081
Издательство: Springer
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Цена: 11173.00 р.
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Описание: One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory.

Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups).

In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra.

A Course on Abstract Algebra: Second Edition

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: 12197.00 р.
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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.

First course in mechanics

Автор: Lunn, Mary (vice Principal, Fellow And Tutor In Ma
Название: First course in mechanics
ISBN: 0198534337 ISBN-13(EAN): 9780198534334
Издательство: Oxford Academ
Цена: 8712.00 р.
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Описание: Provides an introduction to mechanics for students coming to the subject for the first time. The author`s aim is to provide an understanding of Newtonian mechanics using the tools of modern algebra. This text is illustrated throughout with many worked examples, and numerous exercises (some with solutions) are provided.

Linear Algebra: Core Topics For The First Course

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: 19008.00 р.
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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.

A First Graduate Course in Abstract 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: 10104.00 р.
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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.

A First Course in the Sporadic Sics

Автор: Stacey Blake C.
Название: A First Course in the Sporadic Sics
ISBN: 3030761037 ISBN-13(EAN): 9783030761035
Издательство: Springer
Цена: 9083.00 р.
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Описание: This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8.

Linear Algebra: Core Topics For The First Course

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: 10296.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.


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