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An Introductory Course in Commutative Algebra
ISBN: 9780198501442 / Angielski / Miękka / 160 str. The authors provide a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. Their treatment combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields, which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the foursquares theorem, fields and field extensions, finite cyclic groups and finite fields. The material can serve equally well as a textbook for an entire course or as preparation for the further study...
The authors provide a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. Their treatment com...


cena:
276,84 zł 
An Introduction to Local Spectral Theory
ISBN: 9780198523819 / Angielski / Twarda / 591 str. Modern local spectral theory is built on the classical spectral theorem, a fundamental result in singleoperator theory and Hilbert spaces. This book provides an indepth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications...
Modern local spectral theory is built on the classical spectral theorem, a fundamental result in singleoperator theory and Hilbert spaces. This book ...


cena:
1735,02 zł 
Fields and Rings
ISBN: 9780226424514 / Angielski / Miękka / 207 str. This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and modules.
"In all three parts of this book the author lives up to his reputation as a firstrate mathematical stylist. Throughout the work the clarity and precision of the presentation is not only a source of constant pleasure but will enable the neophyte to master the material here presented with dispatch and ease." A. Rosenberg, Mathematical Reviews" This book combines in one volume Irving Kaplansky's lecture notes on the theory of fields, ring theory, and homological dimensions of rings and module...


cena:
133,89 zł 
Combinatorial Commutative Algebra
ISBN: 9780387223568 / Angielski / Twarda / 420 str. Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a selfcontained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings. The eighteen chapters cover a broad spectrum of topics, ranging from homological invariants of monomial ideals and their polyhedral resolutions, to handson tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver... Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This boo... 

cena:
416,39 zł 
Combinatorial Commutative Algebra
ISBN: 9780387237077 / Angielski / Miękka / 420 str. Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a selfcontained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings. The eighteen chapters cover a broad spectrum of topics, ranging from homological invariants of monomial ideals and their polyhedral resolutions, to handson tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver... Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This boo... 

cena:
279,68 zł 
Introduction to Lie Algebras and Representation Theory
ISBN: 9780387900537 / Angielski / Twarda / 173 str. This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and...
This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with em...


cena:
247,59 zł 
Cohomology of Groups
ISBN: 9780387906881 / Angielski / Twarda / 306 str. As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology. The basics of the subject are given (along with exercises) before the author discusses more specialized topics.
As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra a...


cena:
311,58 zł 
Singularities and Groups in Bifurcation Theory: Volume I
ISBN: 9780387909998 / Angielski / Twarda / 466 str. This book has been written in a frankly partisian spiritwe believe that singularity theory offers an extremely useful approach to bifurcation prob lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply preexisting techniques from singularity theory, especially unfolding theory and classification...
This book has been written in a frankly partisian spiritwe believe that singularity theory offers an extremely useful approach to bifurcation prob l...


cena:
689,81 zł 
Galois Theory
ISBN: 9780387985411 / Angielski / Miękka / 176 str. There are too many errors in the first edition, and so a "corrected nth print ing" would have been appropriate. However, given the opportunity to make changes, I felt that a second edition would give me the flexibility to change any portion of the text that I felt I could improve. The first edition aimed to give a geodesic path to the Fundamental Theorem of Galois Theory, and I still think its brevity is valuable. Alas, the book is now a bit longer, but I feel that the changes are worthwhile. I began by rewriting almost all the text, trying to make proofs clearer, and often giving more...
There are too many errors in the first edition, and so a "corrected nth print ing" would have been appropriate. However, given the opportunity to mak...


cena:
234,11 zł 
Buildings
ISBN: 9780387986241 / Angielski / Twarda / 215 str. For years I have heard about buildings and their applications to group theory. I finally decided to try to learn something about the subject by teaching a graduate course on it at Cornell University in Spring 1987. This book is based on the not es from that course. The course started from scratch and proceeded at a leisurely pace. The book therefore does not get very far. Indeed, the definition of the term "building" doesn't even appear until Chapter IV. My hope, however, is that the book gets far enough to enable the reader to tadle the literat ure on buildings, some of which can seem very...
For years I have heard about buildings and their applications to group theory. I finally decided to try to learn something about the subject by teachi...


cena:
598,67 zł 
Galois Theory
ISBN: 9780387987651 / Angielski / Twarda / 283 str. This book offers the fundamentals of Galois Theory, including a set of copious, wellchosen exercises that form an important part of the presentation. The pace is gentle and incorporates interesting historical material, including aspects on the life of Galois. Computed examples, recent developments, and extensions of results into other related areas round out the presentation. This book offers the fundamentals of Galois Theory, including a set of copious, wellchosen exercises that form an important part of the presentati... 

cena:
393,60 zł 
Abstract Algebra
ISBN: 9780471368793 / Angielski / Miękka / 272 str. Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.
Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significa...


cena:
588,15 zł 
Modern Algebra with Applications
ISBN: 9780471414513 / Angielski / Twarda / 352 str. Praise for the first edition
"This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other book of comparable content available. Because of its detailed coverage of applications generally neglected in the literature, it is a desirable if not essential addition to undergraduate mathematics and computer science libraries." As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growingwith extensive use in computing science,... Praise for the first edition
"This book is clearly written and presents a large number of examples illustrating the theory . . . there is no other b... 

cena:
702,91 zł 
Foundations of Galois Theory
ISBN: 9780486435183 / Angielski / Miękka / 109 str. Written by a prominent mathematician, this text offers advanced undergraduate and graduate students a virtually selfcontained treatment of the basics of Galois theory. The source of modern abstract algebra and one of abstract algebra's most concrete applications, Galois theory serves as an excellent introduction to group theory and provides a strong, historically relevant motivation for the introduction of the basics of abstract algebra. Written by a prominent mathematician, this text offers advanced undergraduate and graduate students a virtually selfcontained treatment of the bas... 

cena:
45,07 zł 
Fpf Ring Theory: Faithful Modules and Generators of ModR
ISBN: 9780521277389 / Angielski / Miękka / 176 str. This is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category modR of all right Rmodules and its relationship to faithful modules. This carries out the program, explicit of inherent, in the work of G Azumaya, H. Bass, R. Dedekind, S. Endo, I. Kaplansky, K. Morita, T. Nakayama, R. Thrall, and more recently, W. Brandal, R. Pierce, T. Shores, R. and S. Wiegand and P. Vamos, among others. FPF rings include quasiFrobenius rings (and thus finite rings over fields), pseudoFrobenius (PF) rings (and thus injective cogenerator rings),...
This is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category modR of all right Rmodules ...


cena:
254,70 zł 
A Course in Galois Theory
ISBN: 9780521312493 / Angielski / Miękka / 176 str. Galois theory is one of the most beautiful branches of mathematics. By synthesising the techniques of group theory and field theory it provides a complete answer to the problem of the solubility of polynomials by radicals: that is, the problem of determining when and how a polynomial equation can be solved by repeatedly extracting roots and using elementary algebraic operations. This textbook, based on lectures given over a period of years at Cambridge, is a detailed and thorough introduction to the subject. The work begins with an elementary discussion of groups, fields and vector spaces,...
Galois theory is one of the most beautiful branches of mathematics. By synthesising the techniques of group theory and field theory it provides a comp...


cena:
293,72 zł 
A Local Spectral Theory for Closed Operators
ISBN: 9780521313148 / Angielski / Miękka / 192 str. This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral...
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded ...


cena:
254,70 zł 
Basic Abstract Algebra
ISBN: 9780521466295 / Angielski / Miękka / 507 str. This is a selfcontained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive coverage of the topics usually taught at this level. The book is divided into five parts. The first part contains fundamental information such as an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups. The third part treats rings and modules. The fourth part is concerned with field theory. Much of the material in parts II, III, and IV forms the core syllabus of a course in abstract algebra. The...
This is a selfcontained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive covera...


cena:
407,88 zł 
Exploratory Galois Theory
ISBN: 9780521544993 / Angielski / Miękka / 222 str. Combining a concrete perspective with an explorationbased approach, this analysis develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and only requires knowledge of a first course in abstract algebra. It introduces tools for handson experimentation with finite extensions of the rational numbers for readers with Maple or Mathematica. Please visit the author's website at: http: //www.davidson.edu/academic/math/swallow/john.htm
Combining a concrete perspective with an explorationbased approach, this analysis develops Galois theory at an entirely undergraduate level. The text...


cena:
385,04 zł 
Galois Theories
ISBN: 9780521803090 / Angielski / Twarda / 356 str. Starting from the classical finitedimensional Galois theory of fields, this book develops Galois theory in a much more general context. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience, the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit...
Starting from the classical finitedimensional Galois theory of fields, this book develops Galois theory in a much more general context. The authors f...


cena:
984,50 zł 