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ENGLISH

Completion Of The Classification

by Helmut Strade

205,49€ + 10% CARD

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 Simple Lie Algebras over Fields of Positive Characteristic
ENGLISH

Approximations And Endomorphism Algebras Of Modules - Volume 1 Â€“ Approximations / Volume 2 Â€“ Predictions

by Jan Trlifaj e Rudiger Gobel

490,73€ + 10% CARD

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 Approximations and Endomorphism Algebras of Modules
ENGLISH

Groups Of Prime Power Order. Volume 3

by Yakov Berkovich e Zvonimir Janko

244,69€ + 10% CARD

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 Groups of Prime Power Order
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Groups Of Prime Power Order. Volume 2

by Yakov Berkovich e Zvonimir Janko

273,08€ + 10% CARD

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 Part of the three volumes on finite p-group theory.
ENGLISH

Approximations And Endomorphism Algebras Of Modules

by Jan Trlifaj e Rudiger Gobel

255,50€ + 10% CARD

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 Provides a treatment of two important parts of contemporary module theory: approximations of modules and their applications, notably to infinite dimensional tilting theory, and realizations of algebras as endomorphism algebras of groups and modules. This monograph starts from basic facts and gradually develops the theory to its present frontiers.
ENGLISH

Deformation Theory Of Discontinuous Groups - Geometry Of Cliffordklein Forms, Local Rigidity, And Stability Concepts

by Ali Baklouti

~~156,72€~~ 141,05€ 10% OFF

 This project is a second edition of the textbook: Deformation Theory of Discontinuous Groups (De Gruyter 2022). It is devoted to studying various geometric and topological concepts related to the deformation and moduli spaces of discontinuous group actions, and building some interrelationships between these concepts. It presents full proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and researchers in Lie theory, discontinuous groups, and deformation spaces. A part of the first edition, the setting of affine actions is introduced and new ideas and methods are developed with full proofs. The setting of compact extensions is also re-written with new approaches and proofs. It also contains the most recent developments of the theory, extending from basic concepts to a comprehensive exposition, and highlighting the newest approaches and methods in deformation theory. It also includes the most recent solutions to many open questions over the last decades and brings related newest research results in this area. For specialists and beginners in deformation theory, the settings of Heisenberg and Threadlike cases are differently re-written with full details and proofs.
ENGLISH

Tropical Mathematics And Applications To Theoretical Physics And Scientific Computing - A New Approach Of Non-Linear Problems

by Abdel O. Kenoufi, Alexandre Gondran e Michel Gondran

~~142,89€~~ 128,60€ 10% OFF

 Tropical Mathematics built on Idempotent Semi-Rings and Dioids permits an extension of the usual Linear methods to Non-Linear problems and provides powerful analyzing and computing in Theoretical Physics and Applied Mathematics. Until recently, solutions in mathematics and physics were organized around algebraic structures such as groups, rings, and fields. These techniques are not well-suited to modeling and solving non-linear problems.
ENGLISH

Integral Representation - Choquet Theory For Linear Operators On Function Spaces

by Walter Roth

170,26€ + 10% CARD

 This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued functions on a locally compact space. These are used to extend Choquet theory, which was originally formulated for linear functionals on spaces of real-valued functions, to operators of this type.
ENGLISH

Stereotype Spaces And Algebras

by Sergei S. Akbarov

287,53€ + 10% CARD

 The term "stereotype space" was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.
ENGLISH

Analytic Endomorphisms Of The Riemann Sphere

by Mario Roy, Mariusz Urbanski e Sara Munday

194,78€ + 10% CARD

 Complex dynamics is one of the most fascinating subjects of study and research in mathematics. This third volume in the series entitled Non-Invertible Dynamical Systems not only examines topological and analytical properties of the iteration of rational functions on the Riemann sphere (in particular, the Fatou and Julia sets) but also focuses on thermodynamic, ergodic and fractal properties of these functions (notably, equilibrium states, Bowen''s formula and Sullivan’s conformal measures). This volume builds on the first two volumes in the series while simultaneously developing some methods and techniques specific to rational functions.
ENGLISH

Deformation Theory Of Discontinuous Groups

by Ali Baklouti

239,83€ + 10% CARD

 This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition. It develops the newest approaches and methods in the deformation theory of topological modules and unitary representations and focuses on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. It also presents proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and experienced researchers in Lie theory, discontinuous groups, and deformation (and moduli) spaces.
ENGLISH

Canonical Operator In Many-Particle Problems And Quantum Field Theory

by Oleg Yu. Shvedov e Victor P. Maslov

222,60€ + 10% CARD

 In this monograph we study the problem of construction of asymptotic solutions of equations for functions whose number of arguments tends to infinity as the small parameter tends to zero. Such equations arise in statistical physics and in quantum theory of a large number of fi elds. We consider the problem of renormalization of quantum field theory in the Hamiltonian formalism, which encounters additional difficulties related to the Stückelberg divergences and the Haag theorem. Asymptotic methods for solving pseudodifferential equations with small parameter multiplying the derivatives, as well as the asymptotic methods developed in the present monograph for solving problems in statistical physics and quantum field theory, can be considered from a unified viewpoint if one introduces the notion of abstract canonical operator. The book can be of interest for researchers - specialists in asymptotic methods, statistical physics, and quantum fi eld theory as well as for graduate and undergraduate students of these specialities.
ENGLISH

Finer Thermodynamic Formalism - Distance Expanding Maps And Countable State Subshifts Of Finite Type, Conformal Gdmss, Lasota-Yorke Maps And Fractal G

by Mario Roy, Mariusz Urbanski e Sara Munday

191,46€ + 10% CARD

 This book consists of three volumes. The first volume contains introductory accounts of topological dynamical systems, fi nite-state symbolic dynamics, distance expanding maps, and ergodic theory of metric dynamical systems acting on probability measure spaces, including metric entropy theory of Kolmogorov and Sinai. More advanced topics comprise infi nite ergodic theory, general thermodynamic formalism, topological entropy and pressure. Thermodynamic formalism of distance expanding maps and countable-alphabet subshifts of fi nite type, graph directed Markov systems, conformal expanding repellers, and Lasota-Yorke maps are treated in the second volume, which also contains a chapter on fractal geometry and its applications to conformal systems. Multifractal analysis and real analyticity of pressure are also covered. The third volume is devoted to the study of dynamics, ergodic theory, thermodynamic formalism and fractal geometry of rational functions of the Riemann sphere.
ENGLISH

Graded Algebras In Algebraic Geometry

by Aron Simis e Zaqueu Ramos

192,79€ + 10% CARD

 The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions. In greater detail, the material covers aspects of rational maps (graph, degree, birationality, specialization, combinatorics), Cremona transformations, polar maps, Gauss maps, the geometry of Fitting ideals, tangent varieties, joins and secants, Aluffi algebras. The book includes sections of exercises to help put in practice the theoretic material instead of the mere complementary additions to the theory.
ENGLISH

Extension Of Holomorphic Functions

by Marek Jarnicki e Peter Pflug

210,68€ + 10% CARD

 This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.
ENGLISH

Complex Algebraic Foliations

by Alcides Lins Neto e Bruno Scardua

183,51€ + 10% CARD

 This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the theory and utilizing methods from algebraic and complex geometry along with techniques from complex dynamics and several complex variables. The result is a solid introduction to the theory of foliations, covering basic concepts through modern results on the structure of foliations on complex projective spaces.
ENGLISH

Identical Relations In Lie Algebras

by Yuri Bahturin

180,20€ + 10% CARD

 This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.
ENGLISH

Derived Algebraic Geometry - An Elemental Approach

by Renaud Gauthier

~~161,65€~~ 145,49€ 10% OFF

 The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, and spectral algebraic geometry in a self-contained manner. It discusses Motives, Goodwillie Calculus, Higher Galois, Supersymmetry, and topics in physical mathematics. A new chapter on Derived Motivic Spectrais now included as is an extended introduction to Infinity Category as well as a revised chapter on Stacks.
ENGLISH

Integral Representation - Choquet Theory For Linear Operators On Function Spaces

by Walter Roth

170,26€ + 10% CARD

 This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued functions on a locally compact space. These are used to extend Choquet theory, which was originally formulated for linear functionals on spaces of real-valued functions, to operators of this type.
ENGLISH

Analytic Endomorphisms Of The Riemann Sphere

by Mario Roy, Mariusz Urbanski e Sara Munday

194,78€ + 10% CARD

 Complex dynamics is one of the most fascinating subjects of study and research in mathematics. This third volume in the series entitled Non-Invertible Dynamical Systems not only examines topological and analytical properties of the iteration of rational functions on the Riemann sphere (in particular, the Fatou and Julia sets) but also focuses on thermodynamic, ergodic and fractal properties of these functions (notably, equilibrium states, Bowen''s formula and Sullivan’s conformal measures). This volume builds on the first two volumes in the series while simultaneously developing some methods and techniques specific to rational functions.
ENGLISH

Stereotype Spaces And Algebras

by Sergei S. Akbarov

287,53€ + 10% CARD

 The term "stereotype space" was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.
ENGLISH

Canonical Operator In Many-Particle Problems And Quantum Field Theory

by Oleg Yu. Shvedov e Victor P. Maslov

222,60€ + 10% CARD

 In this monograph we study the problem of construction of asymptotic solutions of equations for functions whose number of arguments tends to infinity as the small parameter tends to zero. Such equations arise in statistical physics and in quantum theory of a large number of fi elds. We consider the problem of renormalization of quantum field theory in the Hamiltonian formalism, which encounters additional difficulties related to the Stückelberg divergences and the Haag theorem. Asymptotic methods for solving pseudodifferential equations with small parameter multiplying the derivatives, as well as the asymptotic methods developed in the present monograph for solving problems in statistical physics and quantum field theory, can be considered from a unified viewpoint if one introduces the notion of abstract canonical operator. The book can be of interest for researchers - specialists in asymptotic methods, statistical physics, and quantum fi eld theory as well as for graduate and undergraduate students of these specialities.
ENGLISH

Finer Thermodynamic Formalism - Distance Expanding Maps And Countable State Subshifts Of Finite Type, Conformal Gdmss, Lasota-Yorke Maps And Fractal G

by Mario Roy, Mariusz Urbanski e Sara Munday

191,46€ + 10% CARD

 This book consists of three volumes. The first volume contains introductory accounts of topological dynamical systems, fi nite-state symbolic dynamics, distance expanding maps, and ergodic theory of metric dynamical systems acting on probability measure spaces, including metric entropy theory of Kolmogorov and Sinai. More advanced topics comprise infi nite ergodic theory, general thermodynamic formalism, topological entropy and pressure. Thermodynamic formalism of distance expanding maps and countable-alphabet subshifts of fi nite type, graph directed Markov systems, conformal expanding repellers, and Lasota-Yorke maps are treated in the second volume, which also contains a chapter on fractal geometry and its applications to conformal systems. Multifractal analysis and real analyticity of pressure are also covered. The third volume is devoted to the study of dynamics, ergodic theory, thermodynamic formalism and fractal geometry of rational functions of the Riemann sphere.
ENGLISH

Ergodic Theory Finite And Infinite, Thermodynamic Formalism, Symbolic Dynamics And Distance Expanding Maps

by Mario Roy, Mariusz Urbaski e Sara Munday

207,36€ + 10% CARD

 The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational principle, and equilibrium states are presented in detail. Abstract ergodic theory is also given a significant attention. Ergodic theorems, ergodicity, and Kolmogorov-Sinai metric entropy are fully explored. Furthermore, the book gives the reader an opportunity to find rigorous presentation of thermodynamic formalism for distance expanding maps and, in particular, subshifts of finite type over a finite alphabet. It also provides a fairly complete treatment of subshifts of finite type over a countable alphabet. <A>Transfer operators, Gibbs states and equilibrium states are, in this context, introduced and dealt with. Their relations are explored. All of this is applied to fractal geometry centered around various versions of Bowens formula in the context of expanding conformal repellors, limit sets of conformal iterated function systems and conformal graph directed Markov systems. A unique introduction to iteration of rational functions is given with emphasize on various phenomena caused by rationally indifferent periodic points. Also, a fairly full account of the classicaltheory of Shubs expanding endomorphisms is given; it does not have a book presentation in English language mathematical literature.</A>
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