Quantum Field Theory and Topology
ISBN: 9783540547532 / Angielski / Twarda / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. The main focus of this book is on the results of quantum field theory that are obtained by topological methods. Some aspects of the theory of condensed matter are also discussed. Part I is an introduction to quantum field theory: it discusses the basic Lagrangians used in the theory of elementary particles. Part II is devoted to the applications of topology to...
In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first o...
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cena:
388,20 zł |
Topology for Physicists
ISBN: 9783540547549 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. Topology has profound relevance to quantum field theory-for example, topological nontrivial solutions of the classical equa tions of motion (solitons and instantons) allow the physicist to leave the frame work of perturbation theory. The significance of topology has increased even further with the development of string theory, which uses very sharp topologi cal methods-both in the study of strings, and in the pursuit of the transition to four-dimensional field theories by means...
In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. Topology has profound relevance t...
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cena:
621,14 zł |
Arrangements of Hyperplanes
ISBN: 9783540552598 / Angielski / Twarda / 325 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerged independently as important objects in various fields of mathematics such as combinatorics, braids, configuration spaces, representation theory, reflection groups, singularity theory, and in computer science and physics. This book is the first comprehensivestudy of the subject. It treats arrangements with methods from combinatorics, algebra, algebraic geometry, topology, and group actions. It emphasizes general techniques which illuminate the...
An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerg...
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504,67 zł |
Complex Manifolds
ISBN: 9783540629955 / Angielski / Miękka / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a...
The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access t...
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194,08 zł |
Algebra VII: Combinatorial Group Theory Applications to Geometry
ISBN: 9783540637042 / Angielski / Miękka / 242 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: ..". The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail....
From the reviews: ..". The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a w...
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cena:
388,20 zł |
Algebraic Geometry I: Algebraic Curves, Algebraic Manifolds and Schemes
ISBN: 9783540637059 / Angielski / Miękka / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I. Danilov, discusses algebraic varieties and schemes. ... I can recommend the book as a very good introduction to the basic algebraic geometry." European Mathematical Society Newsletter, 1996
..". To sum up, this book helps to... From the reviews: "This volume... consists of two papers. The first, written by V.V. Shokurov, is devoted to the theory of Riemann surfaces and algebr...
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cena:
698,79 zł |
Lie Groups and Lie Algebras: Chapters 1-3
ISBN: 9783540642428 / Angielski / Miękka / 461 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the softcover reprint of the 1975 English translation of the first three chapters of Bourbaki's Groupes et algebres de Lie. The first chapter describes the theory of Lie algebras, their deviations, representations, and enveloping algebras. Chapter two introduces free Lie algebras in order to discuss the exponential, logarithmic and the Hausdorff series. Chapter three deals with the theory of Lie groups over R and C ultrametric fields. This is the softcover reprint of the 1975 English translation of the first three chapters of Bourbaki's Groupes et algebres de Lie. The first chapt... |
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232,90 zł |
Homological Algebra
ISBN: 9783540653783 / Angielski / Miękka / 222 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are...
This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homolog...
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388,20 zł |
Complex Semisimple Lie Algebras
ISBN: 9783540678274 / Angielski / Twarda / 75 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes are a record of a course given in Algiers from 10th to 21st May, 1965. Their contents are as follows. The first two chapters are a summary, without proofs, of the general properties of nilpotent, solvable, and semisimple Lie algebras. These are well-known results, for which the reader can refer to, for example, Chapter I of Bourbaki or my Harvard notes. The theory of complex semisimple algebras occupies Chapters III and IV. The proofs of the main theorems are essentially complete; however, I have also found it useful to mention some complementary results without proof. These are...
These notes are a record of a course given in Algiers from 10th to 21st May, 1965. Their contents are as follows. The first two chapters are a summary...
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cena:
194,08 zł |
Iterative Approximation of Fixed Points
ISBN: 9783540722335 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods. This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type ... |
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271,73 zł |
Categorical Decomposition Techniques in Algebraic Topology: International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001
ISBN: 9783764304003 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the homology of the space of smooth loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses the cutting edge technology of "topological modular forms." The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is in... |
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cena:
388,20 zł |
Proper Group Actions and the Baum-Connes Conjecture
ISBN: 9783764304089 / Angielski / Miękka / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C DEGREES*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C DEGREES*-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions... A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the r... |
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127,92 zł |
Symplectic Geometry of Integrable Hamiltonian Systems
ISBN: 9783764321673 / Angielski / Miękka / 226 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising come-back in Part A: to describe Mirror Symmetry, one looks for a special... Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular ... |
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155,11 zł |
Topology of Singular Spaces and Constructible Sheaves
ISBN: 9783764321895 / Angielski / Twarda / 454 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related to many kinds of singular spaces, such as cell complexes, triangulated spaces, semialgebraic and subanalytic sets, complex algebraic or analytic sets, stratified spaces, and quotient spaces. The relation to the underlying geometrical ideas are worked out in detail, together with many applications to the topology of such spaces. All chapters have their own detailed introduction, containing the main results and definitions, illustrated in simple... Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related... |
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388,20 zł |
Morse Homology
ISBN: 9783764329044 / Angielski / Twarda / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a link between modern analysis and topology. Based upon classical Morse theory it develops the finite dimensional analogue of Floer homology which, in the recent years, has come to play a significant role in geometry. Morse homology naturally arises from the gradient dynamical system associated with a Morse function. The underlying chain complex, already considered by Thom, Smale, Milnor and Witten, analogously forms the basic ingredient of Floer's homology theory. This concept of relative Morse theory in combination with Conley's continuation principle lends itself to... This book presents a link between modern analysis and topology. Based upon classical Morse theory it develops the finite dimensional analogue of Fl... |
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310,55 zł |
Holomorphic Curves in Symplectic Geometry
ISBN: 9783764329976 / Angielski / Twarda / 331 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including positivity of intersections, and applications to Lagrangian embeddings problems. The chapters are based on a series of lectures given previously by the authors M. Audin, A. Banyaga, P. Gauduchon, F. Labourie, J. Lafontaine, F. Lalonde, Gang Liu, D. McDuff, M.-P. Muller, P. Pansu, L. Polterovich, J.C....
This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techn...
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194,08 zł |
Lectures on the Geometry of Poisson Manifolds
ISBN: 9783764350161 / Angielski / Twarda / 206 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable and symplectic manifolds. The aim of the book is to provide the reader with a monograph that enables him to study systematically basic and advanced material on the recently developed theory of Poisson manifolds, and that also offers ready access to bibliographical references for the continuation of...
This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretica...
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cena:
427,02 zł |
Lectures on Algebraic Quantum Groups
ISBN: 9783764367145 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In September 2000, at the Centre de Recerca Matematica in Barcelona, we pre sented a 30-hour Advanced Course on Algebraic Quantum Groups. After the course, we expanded and smoothed out the material presented in the lectures and inte grated it with the background material that we had prepared for the participants; this volume is the result. As our title implies, our aim in the course and in this text is to treat selected algebraic aspects of the subject of quantum groups. Sev eral of the words in the previous sentence call for some elaboration. First, we mean to convey several points by the...
In September 2000, at the Centre de Recerca Matematica in Barcelona, we pre sented a 30-hour Advanced Course on Algebraic Quantum Groups. After the co...
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cena:
155,11 zł |
The Algebra of Secondary Cohomology Operations
ISBN: 9783764374488 / Angielski / Twarda / 483 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. The book solves a long-standing problem on the algebra of secondary cohomology operations by developing a new algebraic theory of such operations. The results have strong impact on the Adams spectral sequence and hence on the computation of homotopy groups of spheres. The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. T... |
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465,70 zł |
Real and Complex Singularities: São Carlos Workshop 2004
ISBN: 9783764377755 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume collects papers presented at the eighth Sao Carlos Workshop on Real and Complex Singularities, held at the IML, Marseille, July 2004. Like the workshop, this collection establishes the state of the art and presents new trends, new ideas and new results in all of the branches of singularities. Real and Complex Singularities offers a useful summary of leading ideas in singularity theory, and inspiration for future research. "This volume collects papers presented at the eighth Sao Carlos Workshop on Real and Complex Singularities, held at the IML, Marseille, July 2004. L... |
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cena:
388,20 zł |