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Undergraduate Algebra
ISBN: 9780387220253 / Angielski / Twarda / 389 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the hnear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate teaching, and I agree with these tendencies. I have made the present book self contained logically, but it is probably better if students take the linear algebra course before being introduced to the more abstract notions of groups, rings, and fields, and the systematic development of their basic abstract properties. There is of course a little...
This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the hnear alge...
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cena:
221,73 |
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Ordered Sets
ISBN: 9780387242194 / Angielski / Twarda / 386 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is written particularly for mathematics students and, of course, for mathematicians interested in set theory. Only some fun- mental parts of naive set theory are presupposed, - not more than is treated in a textbook on set theory, even if this restricts us only to the most basic facts of this field. We have summarized all of this in Chapter 0 without longer discusssions and explanations, because there are s- eral textbooks which can be consulted by the reader, e.g. HrbacekIJech 88], KneeboneIRotman 99], ShenIVereshchagin 159]. Besides this only elementary facts of analysis are...
This book is written particularly for mathematics students and, of course, for mathematicians interested in set theory. Only some fun- mental parts of...
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cena:
645,58 |
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An Introduction to Homological Algebra
ISBN: 9780387245270 / Angielski / Miękka / 710 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Homological Algebra has grown in the nearly three decades since the rst e- tion of this book appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to Homological Algebra, 1994, and Gelfand- Manin, Methods of Homological Algebra, 2003. In their Foreword, Gelfand and Manin divide the history of Homological Algebra into three periods: the rst period ended in the early 1960s, culminating in applications of Ho- logical Algebra to regular local rings. The second period, greatly in uenced by the work of A. Grothendieck and J. -P. Serre, continued through the 1980s;...
Homological Algebra has grown in the nearly three decades since the rst e- tion of this book appeared in 1979. Two books discussing more recent result...
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cena:
262,25 |
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The Theory of Finite Groups
ISBN: 9780387405100 / Angielski / Twarda / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From reviews of the German edition: "This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions." Mathematical Reviews From reviews of the German edition: "This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and... |
cena:
342,95 |
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Combinatorial Methods: Free Groups, Polynomials, and Free Algebras
ISBN: 9780387405629 / Angielski / Twarda / 315 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geometry. Indeed, for many years these areas were being developed fairly independently. Combinatorial group theory, the oldest of the three, was born in the beginning of the 20th century as a branch of low-dimensional topology. Very soon, it became an important area of mathematics with its own powerful techniques. In the 1950s, combinatorial group theory started to influence, rather substantially, the theory of Lie algebrasj thus combinatorial theory...
This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geome...
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cena:
201,72 |
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The Geometry of Discrete Groups
ISBN: 9780387907888 / Angielski / Twarda / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare 77] and Thurston 101]. About 1940, the now well-known (but virtually unobtainable) Fenchel-Nielsen manuscript appeared. Sadly, the manuscript never appeared in print, and this more modest text attempts to display at least some of the beautiful geo-...
This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has n...
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cena:
363,12 |
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An Introduction to the Theory of Groups
ISBN: 9780387942858 / Angielski / Twarda / 517 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material fo... |
cena:
242,07 |
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Groups and Representations
ISBN: 9780387945262 / Angielski / Miękka / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to provide a concise treatment of some topics from group theory and representation theory for a one term course. It focuses on the non-commutative side of the field emphasizing the general linear group as the most important group and example. The book will enable graduate students from every mathematical field, as well as strong undergraduates with an interest in algebra, to solidify their knowledge of group theory. The reader should have a familiarity with groups, rings, and fields, along with a solid knowledge of linear algebra. Close to 200 exercises of varying...
The aim of this book is to provide a concise treatment of some topics from group theory and representation theory for a one term course. It focuses on...
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cena:
262,25 |
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Permutation Groups
ISBN: 9780387945996 / Angielski / Twarda / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a lively topic of research in their own right. The book begins with the basic ideas, standard constructions and important examples in the theory of permutation groups.It then develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal O'Nan-Scott Theorem which links finite primitive groups...
Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they aff...
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cena:
342,95 |
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A Course in Homological Algebra
ISBN: 9780387948232 / Angielski / Twarda / 366 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. Most of the material presented in these four sections was not available when this text was first published. Naturally, the treatments in these five sections are somewhat cursory, the...
We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapte...
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cena:
403,47 |
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Matrix Groups
ISBN: 9780387960746 / Angielski / Miękka / 228 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes were developed from a course taught at Rice Univ- sity in the spring of 1976 and again at the University of Hawaii in the spring of 1977. It is assumed that the students know some linear algebra and a little about differentiation of vector-valued functions. The idea is to introduce students to some of the concepts of Lie group theory-- all done at the concrete level of matrix groups. As much as we could, we motivated developments as a means of deciding when two matrix groups (with different definitions) are isomorphic. In Chapter I "group" is defined and examples are given; ho-...
These notes were developed from a course taught at Rice Univ- sity in the spring of 1976 and again at the University of Hawaii in the spring of 1977. ...
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cena:
302,60 |
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Finite Reflection Groups
ISBN: 9780387960821 / Angielski / Twarda / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Chapter 1 introduces some of the terminology and notation used later and indicates prerequisites. Chapter 2 gives a reasonably thorough account of all finite subgroups of the orthogonal groups in two and three dimensions. The presentation is somewhat less formal than in succeeding chapters. For instance, the existence of the icosahedron is accepted as an empirical fact, and no formal proof of existence is included. Throughout most of Chapter 2 we do not distinguish between groups that are "geo- metrically indistinguishable," that is, conjugate in the orthogonal group. Very little of the...
Chapter 1 introduces some of the terminology and notation used later and indicates prerequisites. Chapter 2 gives a reasonably thorough account of all...
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cena:
282,42 |
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Algebraic Groups and Class Fields
ISBN: 9780387966489 / Angielski / Twarda / 211 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
363,12 |
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An Introduction to Knot Theory
ISBN: 9780387982540 / Angielski / Twarda / 204 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots can be studied at many levels and from many points of view. They can be admired as artifacts of the decorative arts and crafts, or viewed as accessible intimations of a geometrical sophistication that may never be attained. The study of knots can be given some motivation in terms of applications in molecular biology or by reference to paral- lels in equilibrium statistical mechanics or quantum field theory. Here, however, knot theory is...
This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots c...
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cena:
241,91 |
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The Theory of Classical Valuations
ISBN: 9780387985251 / Angielski / Twarda / 403 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat's last theorem, Kummer introduced "local" methods. They are concerned with divisibility of "ideal numbers" of cyclotomic fields by lambda = 1 - psi where psi is a primitive p-th root of 1 (p any odd prime). Henssel developed Kummer's ideas, constructed the field of p-adic numbers and proved the fundamental theorem known today. Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying...
In his studies of cyclotomic fields, in view of establishing his monumental theorem about Fermat's last theorem, Kummer introduced "local" methods. Th...
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cena:
403,47 |
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Exercises in Modules and Rings
ISBN: 9780387988504 / Angielski / Twarda / 414 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The idea of writing this book came roughly at the time of publication of my graduate text Lectures on Modules and Rings, Springer GTM Vol. 189, 1999. Since that time, teaching obligations and intermittent intervention of other projects caused prolonged delays in the work on this volume. Only a lucky break in my schedule in 2006 enabled me to put the finishing touches on the completion of this long overdue book. This book is intended to serve a dual purpose. First, it is designed as a "problem book" for Lectures. As such, it contains the statements and full solutions of the many exercises that...
The idea of writing this book came roughly at the time of publication of my graduate text Lectures on Modules and Rings, Springer GTM Vol. 189, 1999. ...
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cena:
403,47 |
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The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories
ISBN: 9780486425436 / Angielski / Twarda / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. As the title promises, this helpful volume offers easy access to the abstract principles common to science and mathematics. It eschews technical terms and omits troublesome details in favor of straightforward explanations that will allow scientists to read papers in branches of science other than their own, mathematicians to appreciate papers on topics on which they have no specialized knowledge, and other readers to cultivate an improved understanding of subjects employing mathematical principles. The broad scope of topics encompasses Euclid's algorithm; congruences; polynomials; complex... As the title promises, this helpful volume offers easy access to the abstract principles common to science and mathematics. It eschews technical te... |
cena:
37,93 |
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Abstract Lie Algebras
ISBN: 9780486462820 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter, a Professor of Mathematics at the University of Michigan, also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields.
Preliminary material covers modules and nonassociate algebras, followed by a compact, self-contained development of the theory of Lie algebras of characteristic 0. Topics include solvable and nilpotent Lie algebras, Cartan subalgebras, and Levi's radical splitting theorem and the... Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter,...
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cena:
45,55 |
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Aspects of Sobolev-Type Inequalities
ISBN: 9780521006071 / Angielski / Miękka / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book focuses on Poincare, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds. Applications covered include the ultracontractivity of the heat diffusion semigroup, Gaussian heat kernel bounds, the Rozenblum-Lieb-Cwikel inequality and elliptic and parabolic Harnack inequalities. Emphasis is placed on the role of families of local Poincare and Sobolev inequalities. The text provides the first self contained account of the equivalence between the uniform parabolic Harnack inequality, on the one hand, and the...
This book focuses on Poincare, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemanni...
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cena:
217,72 |
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Ultrametric Calculus: An Introduction to P-Adic Analysis
ISBN: 9780521032872 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis and appreciates its relevance. The reader's understanding is enhanced and deepened by the large number of exercises included throughout; these both test the reader's grasp and extend the text in interesting directions. As a consequence, this book will become a standard reference...
This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof...
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cena:
485,32 |
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