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Vanishing and Finiteness Results in Geometric Analysis: A Generalization of the Bochner Technique
ISBN: 9783764386412 / Angielski / Twarda / 282 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods, from spectral theory and qualitative properties of solutions of PDEs, to comparison... This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of co... |
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197,46 zł |
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Differential Geometry
ISBN: 9780486462721 / Angielski / Miękka / 112 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This elementary account of the differential geometry of curves and surfaces in space provides students with a good foundation for further study. It explores the ideas of curvature and torsion using the concept of the spin-vector, and it examines the curvature of surfaces, with particular reference to developable surfaces and ruled surfaces.
The approach is by vector methods throughout, but only the most elementary vector algebra is assumed. The text consistently appeals first to geometrical intuition, and then the treatment is made fully rigorous as far as space permits. Many special types... This elementary account of the differential geometry of curves and surfaces in space provides students with a good foundation for further study. It ex...
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41,58 zł |
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Geometric Integration Theory
ISBN: 9780817646769 / Angielski / Twarda / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Geometric measure theory has roots going back to ancient Greek mathematics, for considerations of the isoperimetric problem (to ?nd the planar domain of given perimeter having greatest area) led naturally to questions about spatial regions and boundaries. In more modern times, the Plateau problem is considered to be the wellspring of questions in geometric measure theory. Named in honor of the nineteenth century Belgian physicist Joseph Plateau, who studied surface tension phenomena in general, andsoap?lmsandsoapbubblesinparticular, thequestion(initsoriginalformulation) was to show that a...
Geometric measure theory has roots going back to ancient Greek mathematics, for considerations of the isoperimetric problem (to ?nd the planar domain ...
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cena:
394,97 zł |
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Vorlesungen Über Asymptotische Reihen
ISBN: 9783540060901 / Niemiecki / Miękka / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
73,67 zł |
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Algebraic Spaces
ISBN: 9783540054962 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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236,96 zł |
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Riemannsche Geometrie Im Großen
ISBN: 9783540071334 / Niemiecki / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Aus dem Vorwort: "Globale Probleme der Differentialgeometrie erfreuen sich eines immer noch wachsenden Interesses. Gerade in der Riemannschen Geometrie hat die Frage nach Beziehungen zwischen Riemannscher und topologischer Struktur in neuerer Zeit zu vielen schonen und uberraschenden Einsichten gefuhrt. Dabei denken wir hier vor allem an den Problemkreis: Welche topologischen Invarianten werden charakterisiert durch eine der wichtigsten isometrischen Invarianten, die Krummung? Ziel der folgenden Noten ist, einige zentrale Resultate in dieser Richtung darzustellen.... Wir haben uns bemuht, die...
Aus dem Vorwort: "Globale Probleme der Differentialgeometrie erfreuen sich eines immer noch wachsenden Interesses. Gerade in der Riemannschen Geometri...
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cena:
166,10 zł |
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The Structure of Classical Diffeomorphism Groups
ISBN: 9780792344759 / Angielski / Twarda / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the 60's, the work of Anderson, Chernavski, Kirby and Edwards showed that the group of homeomorphisms of a smooth manifold which are isotopic to the identity is a simple group. This led Smale to conjecture that the group Diff'" (M)o of cr diffeomorphisms, r 1, of a smooth manifold M, with compact supports, and isotopic to the identity through compactly supported isotopies, is a simple group as well. In this monograph, we give a fairly detailed proof that DifF(M)o is a simple group. This theorem was proved by Herman in the case M is the torus rn in 1971, as a consequence of the...
In the 60's, the work of Anderson, Chernavski, Kirby and Edwards showed that the group of homeomorphisms of a smooth manifold which are isotopic to th...
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cena:
987,48 zł |
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Le Cycles and Hypersurface Singularities
ISBN: 9783540603955 / Angielski / Miękka / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Le cycles of the hypersurface. The Le cycles and their multiplicities - the Le numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The Le numbers control many topological and geometric properties of such non-isolated hypersurface singularities. This book is intended for graduate students and researchers interested in complex analytic singularities.
This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Le cycles of the ...
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cena:
106,46 zł |
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Holomorphic Vector Bundles Over Compact Complex Surfaces
ISBN: 9783540610182 / Angielski / Miękka / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. Special features of the nonalgebraic surfaces case, like irreducible vector bundles and stability with respect to a Gauduchon metric, are considered. The reader requires a grounding in geometry at graduate student level. The book will be of interest to graduate students and researchers in complex, algebraic and differential...
The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the...
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cena:
150,07 zł |
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Symplectic Manifolds with No Kaehler Structure
ISBN: 9783540631057 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between...
This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler struct...
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cena:
197,46 zł |
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Harmonic Maps, Loop Groups, and Integrable Systems
ISBN: 9780521580854 / Angielski / Twarda / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems. The text demonstrates how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists as well.
This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems....
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cena:
511,16 zł |
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Generalized Curvatures
ISBN: 9783540737919 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E, ), endowed with its standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E, endowed with its standard N scalar product. LetG be the group of rigid motions of E . We say that a 0 quantity Q(S) associated toS is geometric with respect toG if the corresponding 0 quantity Q g(S)] associated to g(S) equals Q(S), for all g?G . For instance, the 0 diameter ofS and the area of the...
The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E, ), endowed with its standard s...
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cena:
473,97 zł |
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Geometry V: Minimal Surfaces
ISBN: 9783540605232 / Angielski / Twarda / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Few people outside of mathematics are aware of the varieties of mathemat ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others. The particular flavor of the subject of minimal surfaces seems to lie in a combination of the concreteness of the objects being studied, their origin and relation to the physical world, and the way they lie at the intersection of so many different parts of mathematics. In the past fifteen years a new component has been added: the availability of...
Few people outside of mathematics are aware of the varieties of mathemat ical experience - the degree to which different mathematical subjects have di...
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cena:
394,97 zł |
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Beweismethoden Der Differentialgeometrie Im Großen
ISBN: 9783540063858 / Niemiecki / Miękka / 169 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
73,67 zł |
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Geometry and Differential Geometry: Proceedings of a Conference Held at the University of Haifa, Israel, March 18-23, 1979
ISBN: 9783540099765 / Angielski / Miękka / 444 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
177,56 zł |
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Tight Polyhedral Submanifolds and Tight Triangulations
ISBN: 9783540601210 / Angielski / Miękka / 128 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is an introduction and a monograph about tight polyhedra. Particular emphasis is given to the interplay of varius special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes.
This volume is an introduction and a monograph about tight polyhedra. Particular emphasis is given to the interplay of varius special disciplines, suc...
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cena:
106,46 zł |
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Affine Differential Geometry: Geometry of Affine Immersions
ISBN: 9780521064392 / Angielski / Miękka / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Affine differential geometry has undergone a period of revival and rapid progress in the past decade. This book is a self-contained and systematic account of affine differential geometry from a contemporary view. It covers not only the classical theory, but also introduces the modern developments of the past decade. The authors have concentrated on the significant features of the subject and their relationship and application to such areas as Riemannian, Euclidean, Lorentzian and projective differential geometry. In so doing, they also provide a modern introduction to the latter. Some of the...
Affine differential geometry has undergone a period of revival and rapid progress in the past decade. This book is a self-contained and systematic acc...
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cena:
338,11 zł |
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Moment Maps and Combinatorial Invariants of Hamiltonian Tn-Spaces
ISBN: 9780817637705 / Angielski / Twarda / 152 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytope, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. For instance, the first chapter is largely devoted to the Delzant theorem, which says that there is a one-one correspondence between certain types of moment polytopes and certain types of... The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest... |
cena:
394,97 zł |
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The Metric Theory of Banach Manifolds
ISBN: 9783540089155 / Angielski / Miękka / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
138,05 zł |
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Differential Geometry: Proceedings of the International Symposium Held at Peniscola, Spain, October 3-10, 1982
ISBN: 9783540128823 / Angielski / Miękka / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
98,71 zł |
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