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Introduction to Abstract Algebra
ISBN: 9780125057509 / Angielski / Twarda / 291 str. Termin realizacji zamówienia: ok. 22-25 dni roboczych. Introduction to Abstract Algebra provides insight into the methods of abstract algebra. This book provides information pertinent to the fundamental concepts of abstract algebra. Organized into five chapters, this book begins with an overview of the study of natural numbers that are used historically for the purpose of counting the objects in different assemblages. This text then examines the concepts of set and elements of a set. Other chapters contain an intuitive survey of the different kinds of real numbers, with the inclusion of many very important results on integers. This book...
Introduction to Abstract Algebra provides insight into the methods of abstract algebra. This book provides information pertinent to the fundamental co...
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cena:
454,00 zł |
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Homotopy Type and Homology
ISBN: 9780198514824 / Angielski / Twarda / 512 str. Termin realizacji zamówienia: ok. 22 dni roboczych. The author, a leading figure in algebraic topology, provides a modern treatment of a long established set of questions in this important research area. The book's principal objective--and main result--is the classification theorem on k-variants and boundary invariants, which supplement the classical picture of homology and homotopy groups, along with computations of types that are obtained by applying this theorem. Research mathematicians in algebraic topology will be interested in this new attempt to classify homotopy types of simply connected CW-complexes.
The author, a leading figure in algebraic topology, provides a modern treatment of a long established set of questions in this important research area...
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cena:
1065,90 zł |
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Maximal Orders
ISBN: 9780198526735 / Angielski / Twarda / 432 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This is a reissue of a classic text, which includes the author's own corrections and provides a very accessible, self contained introduction to the classical theory of orders and maximal orders over a Dedekind ring. It starts wtih a long chapter that provides the algebraic prerequisites for this theory, covering basic material on Dedekind domains, localizations and completions as well as semisimple rings and separable algebras. This is followed by an introduction to the basic tools in studying orders, such as reduced norms and traces, discriminants, and localization of orders. The theory of...
This is a reissue of a classic text, which includes the author's own corrections and provides a very accessible, self contained introduction to the cl...
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cena:
1121,61 zł |
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Algebraic Methods in Philosophical Logic
ISBN: 9780198531920 / Angielski / Twarda / 488 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily at logisticians in mathematics, philosophy, computer science and linguistics with an interest in algebraic logic, but is also accessible to those from a non-logistics background. The premise of the text is that standard algebraic results (representations) translate into standard logical results (completeness) and it identifies classes of algebras appropriate for classical and non-classical logic studies, including: gaggles, distributoids, partial- gaggles, and...
This comprehensive text demonstrates how various notions of logic can be viewed as notions of universal algebra. It is aimed primarily at logisticians...
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cena:
1065,90 zł |
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Nearrings: Geneses and Applications
ISBN: 9780198533986 / Angielski / Twarda / 480 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Although Nearrings arise naturally in various ways, most nearrings studied today arise as the endomorphisms of a group or cogroup object of a category. During the first half of the twentieth century, nearfields were formalized using applications to sharply transitive groups and to foundations of geometry. This book details the theoretical implications of how planar nearrings grew out of the geometric success of the planar nearfields and have found numerous applications to various branches of mathematics as well as to coding theory, cryptography, and the design of statistical families of...
Although Nearrings arise naturally in various ways, most nearrings studied today arise as the endomorphisms of a group or cogroup object of a category...
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cena:
648,05 zł |
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Rings and Fields
ISBN: 9780198534556 / Angielski / Twarda / 184 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This accessible introduction to the mathematics of rings and fields shows how algebraic techniques can be used to solve many difficult problems. The book is carefully organized. Prerequisite mathematical skills are introduced at the beginning, and each chapter opens with an introduction to a problem followed by the development of the algebraic techniques necessary for its solution, using concrete mathematical and non-mathematical examples. Although prior knowledge of group theory is not required, a chapter is included which states the axiom for a group and proves the group theoretic results...
This accessible introduction to the mathematics of rings and fields shows how algebraic techniques can be used to solve many difficult problems. The b...
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cena:
843,05 zł |
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Super-Real Fields : Totally Ordered Fields with Additional Structure
ISBN: 9780198539919 / Angielski / Twarda / 376 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Super-fields are a class of totally ordered fields that are larger than the real line. They arise from quotients of the algebra of continuous functions on a compact space by a prime ideal, and generalize the well-known class of ultrapowers, and indeed the continuous ultrapowers. These fields are an important topic in their own right and have many surprising applications in analysis and logic. The authors introduce these exciting new fields to mathematicians, analysts, and logicians, including a natural generalization of the real line R, and resolve a number of open problems. After an...
Super-fields are a class of totally ordered fields that are larger than the real line. They arise from quotients of the algebra of continuous function...
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cena:
2013,02 zł |
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Lectures on Lie Groups
ISBN: 9780226005300 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 22-25 dni roboczych. " "Lectures in Lie Groups"] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well written basic text and Adams] has done a service to the mathematical community." Irving Kaplansky"
" "Lectures in Lie Groups"] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic result...
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cena:
88,82 zł |
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Commutative Semigroup Rings
ISBN: 9780226293929 / Angielski / Miękka / 392 str. Termin realizacji zamówienia: ok. 22-25 dni roboczych. "Commutative Semigroup Rings" was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigroups and rings, thereby illuminating both of these important concepts in modern algebra."
"Commutative Semigroup Rings" was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigr...
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cena:
169,28 zł |
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Rings, Fields and Groups
ISBN: 9780340544402 / Angielski / Miękka / 416 str. Termin realizacji zamówienia: ok. 22-25 dni roboczych. 'Rings, Fields and Groups' gives a stimulating and unusual introduction to the results, methods and ideas now commonly studied on abstract algebra courses at undergraduate level. The author provides a mixture of informal and formal material which help to stimulate the enthusiasm of the student, whilst still providing the essential theoretical concepts necessary for serious study. Retaining the highly readable style of its predecessor, this second edition has also been thoroughly revised to include a new chapter on Galois theory plus hints and solutions to many of the 800 exercises...
'Rings, Fields and Groups' gives a stimulating and unusual introduction to the results, methods and ideas now commonly studied on abstract algebra cou...
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cena:
258,35 zł |
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Complex Multiplication
ISBN: 9780387907864 / Angielski / Twarda / 184 str. Termin realizacji zamówienia: ok. 22 dni roboczych. The small book by Shimura-Taniyama on the subject of complex multi is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. Sh 1] Sh 2], and Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961. Several persons have found my lecture notes on this subject...
The small book by Shimura-Taniyama on the subject of complex multi is a classic. It gives the results obtained by them (and some by Weil) plication in...
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cena:
585,64 zł |
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Elements of Algebra : Geometry, Numbers, Equations
ISBN: 9780387942902 / Angielski / Twarda / 184 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it...
Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstractio...
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cena:
257,72 zł |
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Basic Mathematics
ISBN: 9780387967875 / Angielski / Miękka / 496 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This is a text in basic mathematics with multiple uses for either high school or college level courses. Readers will get a firm foundation in basic principles of mathematics which are necessary to know in order to go ahead in calculus, linear algebra or other topics. The subject matter is clearly covered and the author develops concepts so the reader can see how one subject matter can relate and grow into another.
This is a text in basic mathematics with multiple uses for either high school or college level courses. Readers will get a firm foundation in basic pr...
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cena:
272,37 zł |
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Algebra: An Approach Via Module Theory
ISBN: 9780387978390 / Angielski / Twarda / 526 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not...
This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebr...
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cena:
392,86 zł |
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Rings and Categories of Modules
ISBN: 9780387978451 / Angielski / Twarda / 378 str. Termin realizacji zamówienia: ok. 22 dni roboczych. This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil- iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical...
This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text ...
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cena:
368,76 zł |
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Abelian Groups and Representations of Finite Partially Ordered Sets
ISBN: 9780387989822 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 22 dni roboczych. A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic structures. This is also the theme of this book, an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible. David M. Arnold is the Ralph and Jean Storm Professor of Mathematics at Baylor University. He is the author of...
A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic...
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cena:
682,03 zł |
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Elements of Algebraic Coding Theory
ISBN: 9780412573804 / Angielski / Twarda / 254 str. Termin realizacji zamówienia: ok. 22-25 dni roboczych. Coding theory came into existence in the late 1940's and is concerned with devising efficient encoding and decoding procedures.
The book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text. BCH and cyclic, Group codes, Hamming codes, polynomial as well as many other codes are introduced in this textbook. Incorporating numerous worked examples and complete logical proofs, it is an ideal introduction to the fundamental of algebraic coding. Coding theory came into existence in the late 1940's and is concerned with devising efficient encoding and decoding procedures.
The book is intende... |
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cena:
387,08 zł |
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Lie Algebras: Theory and Algorithms
ISBN: 9780444501165 / Angielski / Twarda / 408 str. Termin realizacji zamówienia: ok. 22-25 dni roboczych. The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the algorithmic perspective often invites a different approach to the theoretical material than the one taken in various other monographs (e.g., 42], 48], 77], 86]). Indeed, on various occasions the knowledge of certain algorithms allows us to obtain a straightforward proof...
The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Li...
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cena:
526,05 zł |
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Almost Free Modules : Set-theoretic Methods
ISBN: 9780444504920 / Angielski / Twarda / 620 str. Termin realizacji zamówienia: ok. 22-25 dni roboczych. This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings. This second edition is completely revised and udated to include major developments in the decade since the first edition. Among these are applications to cotorsion theories and covers, including a proof of the Flat Cover Conjecture, as well as the use of Shelah's pcf theory to constuct almost free groups. As with the...
This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, inc...
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cena:
618,70 zł |
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Handbook of Boolean Algebras
ISBN: 9780444871527 / Angielski / Twarda / 440 str. Termin realizacji zamówienia: ok. 22-25 dni roboczych. This Handbook treats those parts of the theory of Boolean algebras of most interest to pure mathematicians: the set-theoretical abstract theory and applications and relationships to measure theory, topology, and logic. It is divided into two parts (published in three volumes). Part I (volume 1) is a comprehensive, self-contained introduction to the set-theoretical aspects of the theory of Boolean Algebras. It includes, in addition to a systematic introduction of basic algebra and topological ideas, recent developments such as the Balcar-Franek and Shelah-Shapirovskii results on free...
This Handbook treats those parts of the theory of Boolean algebras of most interest to pure mathematicians: the set-theoretical abstract theory and ap...
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cena:
258,35 zł |