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ENGLISH

Logarithmic Potentials With External Fields

by Edward B. Saff e Vilmos Totik

~~216,29€~~ 194,66€ 10% OFF

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 This is the second edition of an influential monograph on logarithmic potentials with external fields, incorporating some of the numerous advancements made since the initial publication. As the title implies, the book expands the classical theory of logarithmic potentials to encompass scenarios involving an external field.
ENGLISH

Finite Groups I

by Bertram Huppert

~~264,34€~~ 237,91€ 10% OFF

 Since its publication in 1967, Bertram Huppert’s influential Endliche Gruppen I has remained a standard reference on group theory, with its clear, precise and complete exposition. The present volume makes this classic text available in English for the first time, updated with modern notation and notes.In addition to foundational material, the book contains the theory of permutation groups, linear groups, p-groups, nilpotent groups and solvable groups, as well as the transfer homomorphism and ordinary representation theory. All topics are fully developed and accessible to students with a basic knowledge of algebra. Its comprehensive coverage and inclusion of more advanced topics make this self-contained treatise an invaluable resource for graduate students and researchers.
ENGLISH

Complex Analytic Cycles Ii - The Cycle Space

by Daniel Barlet e Jon Magnusson

~~211,34€~~ 190,21€ 10% OFF

 This book is the second volume of a work on complex analytic cycles and the results, stated without proof in the first volume, are proved here. It begins with the construction of the reduced complex space formed by all compact cycles of a given complex space. Following this construction the main subjects of the book are:• Fundamental class of a cycle and relative fundamental class of an analytic family of cycles• Intersection theory with parameters on complex manifolds and more generally on nearly smooth complex spaces• Holomorphic currents on reduced complex spaces• Chow varieties and cycle spaces of quasi-projective complex spaces• Natural morphism from the Douady space to the cycle space• Holomorphic convexity in cycle spaces and integration of $\bar{partial}$-cohomology classes on cycles• Strong Kählerianity of cycle spaces of Kähler manifolds• Numerous important applications of cycle space theoryPreliminaries needed in the book in addition to the material of the first volume, for instance sheaf cohomology with support, are explained in detail, making this two-volume work quite self-contained. The French version of the present book was published in 2020 by the French Mathematical Society in the series Cours Spécialisés and during the translation process the authors have in many ways improved the original version.
ENGLISH

Logarithmic Potentials With External Fields

by Edward B. Saff e Vilmos Totik

~~238,49€~~ 214,64€ 10% OFF

 This is the second edition of an influential monograph on logarithmic potentials with external fields, incorporating some of the numerous advancements made since the initial publication. As the title implies, the book expands the classical theory of logarithmic potentials to encompass scenarios involving an external field.
ENGLISH

Topology And Geometry Of Intersections Of Ellipsoids In R^N

by Santiago Lopez De Medrano

~~189,25€~~ 170,33€ 10% OFF

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 This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces.
FRENCH

Cohomologie Non Abelienne

by Moebius

84,79€ + 10% CARD

 Now a common tool and object of study, stacks were introduced in this book as a framework for the study of non-abelian cohomology classes in degrees 1 and 2 on an arbitrary topos. The book shows that these cohomology classes can be represented by geometric objects called torsors and gerbes, and provides a detailed study of their basic properties. Since their introduction in this book, gerbes have become a widespread tool in geometry and topology.A timeless classic, this French language book remains to this day a key reference for fibred categories, stacks, torsors, gerbes and topos.
FRENCH

Homologie Des Algebres Commutatives

by M. Andre

68,89€ + 10% CARD

 (egalite 3. 4). Ce complexe T*(A,B) per met de definir les modules d''homo logie de l''algebre (definition 3. 11) Hn(A,B, W) = Yt,,[T*(A,B)@B W] et les modules de cohomologie de l''algebre (definition 3. 12) Hn(A,B, W) = Yfn[HomB(T*(A,B), W)]. En particulier l''homologie et la cohomologie d''une algebre libre sont triviales (corollaire 3. 36). Quant au module Ho(A,B,B) il est toujours isomorphe au module des differentielles de Kaehler QBIA (proposition 6. 3). Lorsque l''anneau Best un quotient de l''anneau A, la situation est simple en degre 1 (proposition 6. 1) H (A, B, W) ~ Tor}(B, W) I et en degre 2 (theoreme 15. 8, propositions 15. 9 et 15. 12) H (A,B, W) ~ Tor1(B, W)jTor}(B,B). Tor}(B, W). 2 En ajoutant des variables independantes a l''anneau A, il est d''ailleurs possible de se ramener a ce cas particulier (corollaire 5. 2). Dans cette theorie, les modules d''homologie relative sont en fait des modules d''homologie absolue. De maniere precise: a une A-algebre B et a une B-algebre C correspond une suite exacte, dite de Jacobi Zariski (theoreme 5. 1) . . . --+ Hn(A,B, W) --+ Hn(A, C, W) --+ Hn(B, C, W) -+ H _ I (A, B, W) --+ •••• n De cette suite decoulent des relations entre differentielles de Kaehler (n = 0), algebres lisses (n = 1), anneaux reguliers (n = 2) et intersections completes (n = 3). Une autre propriete fondamentale est la suivante (proposition 4.
ENGLISH

Surgery Theory - Foundations

by Tibor Macko e Wolfgang Luck

~~238,49€~~ 214,64€ 10% OFF

 This monograph provides a comprehensive introduction to surgery theory, the main tool in the classification of manifolds. Surgery theory was developed to carry out the so-called Surgery Program, a basic strategy to decide whether two closed manifolds are homeomorphic or diffeomorphic.
ENGLISH

Topology And Geometry Of Intersections Of Ellipsoids In R^N

by Santiago Lopez De Medrano

185,49€ + 10% CARD

 This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it also contains new results.The first part provides very detailed foundations of a wide-ranging theory that could be useful for future developments. It includes chapters on general intersections of quadrics, operations on them, and intersections of concentric and coaxial quadrics. Moving from the general to the specific, the second part focuses on a topological description of transverse intersections of concentric ellipsoids, including a complete description of the case of three ellipsoids, and of some large families of more than three of them. The third part looks at relations to other areas of mathematics such as dynamical systems, complex geometry, contact and symplectic geometry, andother applications. An appendix gathers some technical items and also gives an account of the origins, motivations and progression of the subject, including historical recollections of the author, who has been central to its development.
ENGLISH

Lagerungen - Arrangements In The Plane, On The Sphere, And In Space

by Gabor Fejes Toth, Laszlo Fejes Toth e Wlodzimierz Kuperberg

158,99€ + 10% CARD

 The publication of the first edition of Lagerungen in der Ebene, auf der Kugel und im Raum in 1953 marked the birth of discrete geometry. Since then, the book has had a profound and lasting influence on the development of the field. It included many open problems and conjectures, often accompanied by suggestions for their resolution. A good number of new results were surveyed by László Fejes Tóth in his Notes to the 2nd edition.The present version of Lagerungen makes this classic monograph available in English for the first time, with updated Notes, completed by extensive surveys of the state of the art. More precisely, this book consists of:<ol> <li>a corrected English translation of the original Lagerungen,</li><li>the revised and updated Notes on the original text, </li><li>eight self-contained chapters surveying additional topics in detail.</li> </ol> The English edition provides a comprehensive update to an enduring classic. Combining the lucid exposition of the original text with extensive new material, it will be a valuable resource for researchers in discrete geometry for decades to come.
ENGLISH

Markov Processes - Volume Ii

by E. B. Dynkin

59,61€ + 10% CARD
ENGLISH

Analytic Partial Differential Equations

by Francois Treves

264,34€ + 10% CARD

 This book provides a coherent, self-contained introduction to central topics of Analytic Partial Differential Equations in the natural geometric setting. The main themes are the analysis in phase-space of analytic PDEs and the Fourier-Bros-Iagolnitzer (FBI) transform of distributions and hyperfunctions, with application to existence and regularity questions.<div> </div><div>The book begins by establishing the fundamental properties of analytic partial differential equations, starting with the Cauchy-Kovalevskaya theorem, before presenting an integrated overview of the approach to hyperfunctions via analytic functionals, first in Euclidean space and, once the geometric background has been laid out, on analytic manifolds. Further topics include the proof of the Lojaciewicz inequality and the division of distributions by analytic functions, a detailed description of the Frobenius and Nagano foliations, and the Hamilton-Jacobi solutions of involutive systems of eikonalequations. The reader then enters the realm of microlocal analysis, through pseudodifferential calculus, introduced at a basic level, followed by Fourier integral operators, including those with complex phase-functions (à la Sjöstrand). This culminates in an in-depth discussion of the existence and regularity of (distribution or hyperfunction) solutions of analytic differential (and later, pseudodifferential) equations of principal type, exemplifying the usefulness of all the concepts and tools previously introduced. The final three chapters touch on the possible extension of the results to systems of over- (or under-) determined systems of these equations—a cornucopia of open problems.<div>This book provides a unified presentation of a wealth of material that was previously restricted to research articles. In contrast to existing monographs, the approach of the book is analytic rather than algebraic, and tools such as sheaf cohomology, stratification theory of analyticvarieties and symplectic geometry are used sparingly and introduced as required. The first half of the book is mainly pedagogical in intent, accessible to advanced graduate students and postdocs, while the second, more specialized part is intended as a reference for researchers.</div></div>
ENGLISH

Loewner'S Theorem On Monotone Matrix Functions

by Barry Simon

135,18€ + 10% CARD

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 This book provides an in depth discussion of Loewnerâ€™s theorem on the characterization of matrix monotone functions.
ENGLISH

Singularities Of Mappings - The Local Behaviour Of Smooth And Complex Analytic Mappings

by David Mond e Juan J. Nuno-Ballesteros

162,21€ + 10% CARD

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 The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C8 and complex analytic theories jointly.
ENGLISH

Complex Analytic Cycles I - Basic Results On Complex Geometry And Foundations For The Study Of Cycles

by Daniel Barlet e Jon Magnusson

154,11€ + 10% CARD

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 The book consists of a presentation from scratch of cycle space methodology in complex geometry. The construction of the cycle space as a complex space, along with numerous important applications, is given in the second volume.
ENGLISH

Graphs And Discrete Dirichlet Spaces

by Daniel Lenz, Matthias Keller e Radoslaw K. Wojciechowski

175,73€ + 10% CARD

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 The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects.
ENGLISH

Graphs And Discrete Dirichlet Spaces

by Daniel Lenz, Matthias Keller e Radoslaw K. Wojciechowski

171,59€ + 10% CARD

 The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects.
ENGLISH

Singularities Of Mappings - The Local Behaviour Of Smooth And Complex Analytic Mappings

by David Mond e Juan J. Nuno-Ballesteros

158,34€ + 10% CARD

 The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C and complex analytic theories jointly.
ENGLISH

Complex Analytic Cycles I - Basic Results On Complex Geometry And Foundations For The Study Of Cycles

by Daniel Barlet e Jon Magnusson

151,05€ + 10% CARD

 The book consists of a presentation from scratch of cycle space methodology in complex geometry. The construction of the cycle space as a complex space, along with numerous important applications, is given in the second volume.
ENGLISH

Quantum Riemannian Geometry

by Edwin J. Beggs e Shahn Majid

105,34€ + 10% CARD

 This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points.Such a theory is needed for the geometry of Hopf algebras or quantum groups, which provide key examples, as well as in physics to model quantum gravity effects in the form of quantum spacetime. The mathematical formalism can be applied to any algebra and includes graph geometry and a Lie theory of finite groups. Even the algebra of 2 x 2 matrices turns out to admit a rich moduli of quantum Riemannian geometries. The approach taken is a `bottom up’ one in which the different layers of geometry are built up in succession, starting from differential forms and proceeding up to the notion of a quantum `Levi-Civita’ bimodule connection, geometric Laplacians and, in some cases, Dirac operators. Thebook also covers elements of Connes’ approach to the subject coming from cyclic cohomology and spectral triples. Other topics include various other cohomology theories, holomorphic structures and noncommutative D-modules.A unique feature of the book is its constructive approach and its wealth of examples drawn from a large body of literature in mathematical physics, now put on a firm algebraic footing. Including exercises with solutions, it can be used as a textbook for advanced courses as well as a reference for researchers.<div> </div>
ENGLISH

Complex Analytic Cycles I - Basic Results On Complex Geometry And Foundations For The Study Of Cycles

by Daniel Barlet e Jon Magnusson

148,70€ + 10% CARD

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 The book consists of a presentation from scratch of cycle space methodology in complex geometry. The construction of the cycle space as a complex space, along with numerous important applications, is given in the second volume.
ENGLISH

Carleman Inequalities - An Introduction And More

by Nicolas Lerner

158,34€ + 10% CARD

 Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation.<div> </div><div>Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book''s first five chapters contain a thorough exposition of the most classical results, such as Calderón''s and Hörmander''s theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results betweenHolmgren''s and Hörmander''s uniqueness theorems, Wolff''s modification of Carleman''s method, conditional pseudo-convexity, and more.</div><div> </div><div>With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation. </div>
ENGLISH

Loewner'S Theorem On Monotone Matrix Functions

by Barry Simon

131,84€ + 10% CARD

 This book provides an in depth discussion of Loewnerâ€™s theorem on the characterization of matrix monotone functions.
ENGLISH

Quantitative Stochastic Homogenization And Large-Scale Regularity

by Jean-Christophe Mourrat, Scott Armstrong e Tuomo Kuusi

158,34€ + 10% CARD

 The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics.
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