Sur les Groupes Hyperboliques d`apr?s Mikhael Gromov, Ghys; da la Harpe
Автор: Donaldson Simon, Eliashberg Yakov, Gromov Mikhael Название: Different faces of geometry ISBN: 0306486571 ISBN-13(EAN): 9780306486579 Издательство: Springer Цена: 32004.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: Amoebas and Tropical GeometryConvex Geometry and Asymptotic Geometric AnalysisDifferential Topology of 4-Manifolds3-Dimensional Contact GeometryFloer Homology and Low-Dimensional TopologyKГ¤hler GeometryLagrangian and Special Lagrangian SubmanifoldsRefined Seiberg-Witten Invariants.
Автор: Simon Donaldson; Yakov Eliashberg; Misha Gromov Название: Different Faces of Geometry ISBN: 1475787480 ISBN-13(EAN): 9781475787481 Издательство: Springer Рейтинг: Цена: 32142.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from the following important topics in modern geometry:
Amoebas and Tropical Geometry Convex Geometry and Asymptotic Geometric Analysis Differential Topology of 4-Manifolds 3-Dimensional Contact Geometry Floer Homology and Low-Dimensional Topology K hler Geometry Lagrangian and Special Lagrangian Submanifolds Refined Seiberg-Witten Invariants.
These apparently diverse topics have a common feature in that they are all areas of exciting current activity. The Editors have attracted an impressive array of leading specialists to author chapters for this volume: G. Mikhalkin (USA-Canada-Russia), V.D. Milman (Israel) and A.A. Giannopoulos (Greece), C. LeBrun (USA), Ko Honda (USA), P. Ozsv th (USA) and Z. Szab (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany).
"One can distinguish various themes running through the different contributions. There is some emphasis on invariants defined by elliptic equations and their applications in low-dimensional topology, symplectic and contact geometry (Bauer, Seidel, Ozsv th and Szab ). These ideas enter, more tangentially, in the articles of Joyce, Honda and LeBrun. Here and elsewhere, as well as explaining the rapid advances that have been made, the articles convey a wonderful sense of the vast areas lying beyond our current understanding. Simpson's article emphasizes the need for interesting new constructions (in that case of K hler and algebraic manifolds), a point which is also made by Bauer in the context of 4-manifolds and the "11/8 conjecture." LeBrun's article gives another perspective on 4-manifold theory, via Riemannian geometry, and the challenging open questions involving the geometry of even "well-known" 4-manifolds. There are also striking contrasts between the articles. The authors have taken different approaches: for example, the thoughtful essay of Simpson, the new research results of LeBrun and the thorough expositions with homework problems of Honda. One can also ponder the differences in the style of mathematics. In the articles of Honda, Giannopoulos and Milman, and Mikhalkin, the "geometry" is present in a very vivid and tangible way; combining respectively with topology, analysis and algebra. The papers of Bauer and Seidel, on the other hand, makes the point that algebraic and algebro-topological abstraction (triangulated categories, spectra) can play an important role in very unexpected ways in concrete geometric problems." - From the Preface by the Editors
Автор: Gromov Название: Partial differential relations ISBN: 3540121773 ISBN-13(EAN): 9783540121770 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature. We deal in this book with a completely different class of partial differential equations (and more general relations) which arise in differential geometry rather than in physics.
Автор: Gromov, Mikhail Название: Metric structures for riemannian and non-riemannian spaces ISBN: 0817645829 ISBN-13(EAN): 9780817645823 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979).
Автор: Mikhael Balabane; Pierre Lochak; Catherine Sulem Название: Integrable Systems and Applications ISBN: 366213747X ISBN-13(EAN): 9783662137475 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this volume nonlinear systems related to integrable systems are studied. Lectures cover such topics as the application of integrable systems to the description of natural phenomena, the elaboration of perturbation theories, and the statistical mechanics of ensembles of objects obeying integrable equations. The more physical lectures center largely around the three paradigmatic equations: Korteweg de Vries, Sine-Gordon and Nonlinear Schr dinger, especially the latter. These have long been of great mathematical interest, and also exhibit a "universality" which places them among the most frequently encountered integrable equations in the description of physical systems. Tidal waves, optical fibers and laser beams are among the topics discussed. Lectures are also devoted to multidimensional solitons, integrability of Hamiltonian systems of ODEs and dissipative systems of PDEs.
Автор: Bernard Charles Название: ?tudes sur les Groupes Ab?liens / Studies on Abelian Groups ISBN: 3642461484 ISBN-13(EAN): 9783642461484 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Liste des participants et des conferences Table des matieres BAER R. Kollineationen primaerer Praemoduln 1] 1 2] BAER R. Dualisierbare I oduln und Praemoduln 37 3] BEAtJ: IOllT R.A. Abelian groups Gwhich satisty G:: G EPK for every direct summand K of G 69 Sous-groupes fonctoriels et topologies 4J CHARLES B. 75 CUTLER D.O. A topology for primary abelian groups 93 5J 6] FALTINGS K. Automorphismengruppen endlicher abelscher p-gruppen. 101 7] FUCHS L. Note on purity and algebraic compactness for modules 121 8] GP.ABE P.J. Der iterierte Ext-Funktor, seine Periodicit t und die dadurch definierten Klassen abelscher Gruppen -- 131 The Jacobson radieal of seme endomorphism rings 143 HAIlW F. 9J HAUSEr, J. Autemorphismenges ttigte Klassen abz hlbarer 1OJ abelschen Gruppen -------------------------------- 147 llJ HILL P. and;mGIBBElI C. Direct sums of countable bToups and gene- lizations ---------------------------------------- 183 ImIDI J.J. . On topologie al methods in abclian groups 207 12J KOLETTIS G. Homogeneous decomposable modules 223 13] 'Endemorphism rings of abelian p-groups LIEBERT 11. 239 14J l-lADER A. Extensions of abelian groups 259 15J Sur les proprietes universelles des foncteurs HARlU.DA J. i6J adjoints ------------------.--------------------.- 267 J.lARTY R. Radieal, soele et relativisation 287 17] Torsion and cotorsion campletions ---------------- 18] llIUES R. 301 A note on endanorphism rings of abelian p-groups 305 19J m.ITUCE R.
Описание: This work offers the proof of the remarkable relationship between Seiberg-Witten and Gromov invariants on symplectic 4-manifolds. It is a companion to "Topics on Symplectic 4-Manifolds" published in 1998 and brings together articles published in two American journals.
Автор: Jeff Cheeger; Paolo DeBartolomeis; Mikhail Gromov; Название: Geometric Topology: Recent Developments ISBN: 3540550178 ISBN-13(EAN): 9783540550174 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Geometric Topology can be defined to be the investigation of global properties of a further structure (differentiable, Riemannian, complex and algebraic) one can impose on a topological manifold. This book studies the critical points of the distance function and its application to the understanding of the topology of Riemannian manifolds.
Автор: Christoph Hummel Название: Gromov`s Compactness Theorem for Pseudo-holomorphic Curves ISBN: 3034898428 ISBN-13(EAN): 9783034898423 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the original proof of Gromov`s compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint.
Автор: Misha Gromov Название: Partial Differential Relations ISBN: 3642057209 ISBN-13(EAN): 9783642057205 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Misha Gromov Название: Great Circle of Mysteries ISBN: 3319530488 ISBN-13(EAN): 9783319530482 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This visionary and engaging book provides a mathematical perspective on the fundamental ideas of numbers, space, life, evolution, the brain and the mind. The author suggests how a development of mathematical concepts in the spirit of category theory may lead to unravelling the mystery of the human mind and the design of universal learning algorithms.
The book is divided into two parts, the first of which describes the ideas of great mathematicians and scientists, those who saw sparks of light in the dark sea of unknown. The second part, Memorandum Ergo, reflects on how mathematics can contribute to the understanding of the mystery of thought. It argues that the core of the human mind is a structurally elaborated object that needs a creation of a broad mathematical context for its understanding. Readers will discover the main properties of the expected mathematical objects within this context, called ERGO-SYSTEMS, and readers will see how these "systems" may serve as prototypes for design of universal learning computer programs.
This is a work of great, poetical insight and is richly illustrated. It is a highly attractive read for all those who welcome a mathematical and scientific way of thinking about the world.
Автор: Werner Ballmann; Misha Gromov; Viktor Schroeder Название: Manifolds of Nonpositive Curvature ISBN: 146849161X ISBN-13(EAN): 9781468491616 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This volume presents a complete and self-contained description of new results in the theory of manifolds of nonpositive curvature. It is based on lectures delivered by M. Gromov at the Coll ge de France in Paris. Therefore this book may also serve as an introduction to the subject of nonpositively curved manifolds. The latest progress in this area is reflected in the article of W. Ballmann describing the structure of manifolds of higher rank.
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