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Algebraic Integrability, Painlevé Geometry and Lie Algebras
ISBN: 9783642061288 / Angielski / Miękka / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painleve analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas,... This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the ... |
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563,56 |
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Projective Duality and Homogeneous Spaces
ISBN: 9783642061721 / Angielski / Miękka / 250 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature. Thus the appearance of a book specifically devoted to projective duality is a long-awaited and welcome event. Projective Duality and Homogeneous Spaces covers a vast and diverse range of topics in the field of dual varieties, ranging from differential geometry to Mori theory and... Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combi... |
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563,56 |
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Quantum Field Theory and Noncommutative Geometry
ISBN: 9783642062872 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in... This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory u... |
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201,24 |
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Coverings of Discrete Quasiperiodic Sets: Theory and Applications to Quasicrystals
ISBN: 9783642077494 / Angielski / Miękka / 273 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this up-to-date review and guide to most recent literature, the expert authors develop concepts related to quasiperiodic coverings and describe results. The text describes specific systems in 2 and 3 dimensions with many illustrations, and analyzes the atomic positions in quasicrystals. In this up-to-date review and guide to most recent literature, the expert authors develop concepts related to quasiperiodic coverings and describe ... |
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925,87 |
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Representation of Lie Groups and Special Functions, Volume 2: Class I Representations, Special Functions, and Integral Transforms
ISBN: 9789048141036 / Angielski / Miękka / 607 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One service mathematics has rendered the "Et moi, ..., si j'avait su comment en revenir, human race. It has put common sense back je n 'y serais point all
One service mathematics has rendered the "Et moi, ..., si j'avait su comment en revenir, human race. It has put common sense back je n 'y serais point...
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603,81 |
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Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions
ISBN: 9789048141043 / Angielski / Miękka / 634 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Onc service malhemalics has rendered Ihe "Et moil ... si ravait au oomment en revcnir. je n'y serais point aU': ' human race. It has put common sense back whcre it belongs, on the topmost shelf next Iules Verne to the dUlty canister IabeUed 'discarded n- sense'. The series is divergent; therefore we may be Eric T. BeU able to do something with it. O. H eaviside Mathematics is a tool for thought, A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple...
Onc service malhemalics has rendered Ihe "Et moil ... si ravait au oomment en revcnir. je n'y serais point aU': ' human race. It has put common sense ...
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925,87 |
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Investigations in Algebraic Theory of Combinatorial Objects
ISBN: 9789048141951 / Angielski / Miękka / 510 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. X Kochendorffer, L.A. Kalu: lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the...
X Kochendorffer, L.A. Kalu: lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations...
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523,30 |
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Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics
ISBN: 9789048142446 / Angielski / Miękka / 435 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents an account of the current state of algebraic-theoretic methods as applied to linear and nonlinear multidimensional equations of mathematical and theoretical physics. Equations are considered that are invariant under Euclid, Galilei, Schrodinger, Poincare, conformal, and some other Lie groups, with special emphasis being given to the construction of wide classes of exact solutions of concrete nonlinear partial differential equations, such as d'Alembert, Liouville, Monge-Ampere, Hamilton-Jacobi, eikonal, Schrodinger, Navier-Stokes, gas dynamics, Dirac, Maxwell-Dirac,...
This volume presents an account of the current state of algebraic-theoretic methods as applied to linear and nonlinear multidimensional equations of m...
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402,53 |
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Quantum Scattering Theory for Several Particle Systems
ISBN: 9789048143054 / Angielski / Miękka / 406 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is devoted to the quantum mechanical problem of the scattering of N -particles. This has long been a traditional and difficult problem of mathematical physics and its quantum analogue has many interesting applications in atomic and nuclear physics. It is also an interesting problem from a mathematical point of view. The book has seven chapters. Chapter 1 deals with the basic dynamical concepts, and wave and scattering operators are defined and their general properties are described. Chapter 2 considers the stationary formalism of scattering theory. The method of integral equations...
This volume is devoted to the quantum mechanical problem of the scattering of N -particles. This has long been a traditional and difficult problem of ...
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402,53 |
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Basic Structures of Modern Algebra
ISBN: 9789048143177 / Angielski / Miękka / 422 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume has developed from courses given at Moscow State University. The main purpose of the material presented is to introduce the concepts, results and problems of contemporary algebra, assuming some knowledge of the standard theory of linear algebra and vector spaces. One important aspect is also to demonstrate how the concepts discussed relate to each other and how they work in practice. The book begins with an introduction to the fundamental concepts of groups, rings, fields and modules and their representations. The seven chapters which follow are devoted respectively to the...
This volume has developed from courses given at Moscow State University. The main purpose of the material presented is to introduce the concepts, resu...
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402,53 |
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Mutations of Alternative Algebras
ISBN: 9789048143733 / Angielski / Miękka / 226 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Around 1978, a mutation of associative algebras was introduced to generalize the formalism of classical mechanics as well as quantum mechanics.
This volume presents the first book devoted to a self-contained and detailed treatment of the mathematical theory of mutation algebras, which is based on research in this subject over the past fifteen years. The book also deals with a broader class of algebras, mutations of alternative algebras, which are a natural generalization of mutations of associative algebras. A complete structure theory, including automorphisms, derivations and certain... Around 1978, a mutation of associative algebras was introduced to generalize the formalism of classical mechanics as well as quantum mechanics.
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603,81 |
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Representation of Lie Groups and Special Functions: Recent Advances
ISBN: 9789048144860 / Angielski / Miękka / 504 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups...
In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), ...
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402,53 |
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Nonlinear Mechanics, Groups and Symmetry
ISBN: 9789048145171 / Angielski / Miękka / 382 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincare--Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems....
This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Vario...
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805,10 |
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Conformal Quantum Field Theory in D-Dimensions
ISBN: 9789048147328 / Angielski / Miękka / 466 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space. One of the most promising trends is constructing an pxact solution for a cprtain class of models. This task seems to be quite feasible in the light of recent resllits. The situation here is to some extent similar to what was going on in the past ypars with the two-dimensional quantum field theory. Our investigation of conformal Ward identities in a D-dimensional space, carried out as far hack as the late H. J7Gs,...
Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory...
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402,53 |
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Stochastic Processes and Operator Calculus on Quantum Groups
ISBN: 9789048152902 / Angielski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.
This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include o...
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201,24 |
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Conservation Laws and Symmetry: Applications to Economics and Finance
ISBN: 9789048157860 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Modem geometric methods combine the intuitiveness of spatial visualization with the rigor of analytical derivation. Classical analysis is shown to provide a foundation for the study of geometry while geometrical ideas lead to analytical concepts of intrinsic beauty. Arching over many subdisciplines of mathematics and branching out in applications to every quantitative science, these methods are, notes the Russian mathematician A.T. Fomenko, in tune with the Renais sance traditions. Economists and finance theorists are already familiar with some aspects of this synthetic tradition. Bifurcation...
Modem geometric methods combine the intuitiveness of spatial visualization with the rigor of analytical derivation. Classical analysis is shown to pro...
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603,81 |
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Proceedings of the Third International Algebra Conference: June 16-July 1, 2002 Chang Jung Christian University, Tainan, Taiwan
ISBN: 9789048163519 / Angielski / Miękka / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This new proceedings is a collection of papers presenting the recent developments and research in various fields of algebra, especially Lie Algebras, Rings and their related topics undertaken in the U.S.A., Russia, North Asia and Israel. Contributors include E. Zelmanov, the 1994 Fields Medalist, L. Bokut, Gunter F. Pilz, Koichiro Harada, Alexander Kemer, V.K. Kharchenko, L. Makar-Limanov and Louis H. Rowen.
This new proceedings is a collection of papers presenting the recent developments and research in various fields of algebra, especially Lie Algebras, ...
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402,53 |
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Cohomology Rings of Finite Groups: With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64
ISBN: 9789048163854 / Angielski / Miękka / 776 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num- ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con- nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in- teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen- tation theory that we take...
Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num- ber theory, an...
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402,53 |
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Galois Connections and Applications
ISBN: 9789048165407 / Angielski / Miękka / 502 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois connections through the last three centuries. Examples of Galois connections as powerful tools in Category Theory and Universal Algebra are given. Applications of Galois connections in Linguistic and Data Analysis are presented.
This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois conne...
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442,79 |
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Mal'cev, Protomodular, Homological and Semi-Abelian Categories
ISBN: 9789048165513 / Angielski / Miękka / 480 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory.
The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint... The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and syntheti...
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402,53 |
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