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Geometric and Computational Spectral Theory
ISBN: 9781470426651 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Seminaire de Mathematiques Superieures on Geometric and Computational Spectral Theory, held from June 15-26, 2015, at the Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada. The volume covers a broad variety of topics in spectral theory, highlighting its connections to differential geometry, mathematical physics and numerical analysis, bringing together the theoretical and computational approaches to spectral theory, and emphasizing the...
The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Seminaire de Mathematiques ...
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cena:
546,97 |
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Topics in Hyperplane Arrangements
ISBN: 9781470437114 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and unified treatment of several recent developments in the field, and brings forth many new ideas and results. It has two parts, each divided into eight chapters, and five appendices with background material. Part I gives a detailed discussion on faces, flats, chambers, cones, gallery intervals, lunes and other geometric notions associated with arrangements. The Tits monoid plays a central role. Another important object is the...
This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a car...
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cena:
709,58 |
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Topology as Fluid Geometry: Two-Dimensional Spaces, Volume 2
ISBN: 9781470437169 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the final volume of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology. Einstein showed how to interpret gravity as the dynamic response to the curvature of space-time. Bill Thurston showed us that non-Euclidean geometries and...
This is the final volume of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provide...
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cena:
251,31 |
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New Horizons in Geometry
ISBN: 9781470443351 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors Tom Apostol and Mamikon Mnatsakanian. It serves as a capstone to an amazing collaboration. Apostol and Mamikon provide fresh and powerful insights into geometry that requires only a modest background in mathematics. Using new and intuitively rich methods, they give beautifully illustrated proofs of results, the majority of which are new, and frequently develop extensions of familiar theorems that are often surprising and sometimes astounding. It is mathematical...
New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors Tom Apostol and Mamikon M...
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cena:
359,72 |
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Two-Dimensional Spaces, Volumes 1, 2, and 3
ISBN: 9781470443238 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This three-volume collection is devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.
This three-volume collection is devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour throug...
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cena:
542,04 |
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Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow
ISBN: 9781470428402 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The authors study noncompact surfaces evolving by mean curvature flow (mcf). For an open set of initial data that are $C^3$-close to round, but without assuming rotational symmetry or positive mean curvature, the authors show that mcf solutions become singular in finite time by forming neckpinches, and they obtain detailed asymptotics of that singularity formation. The results show in a precise way that mcf solutions become asymptotically rotationally symmetric near a neckpinch singularity.
The authors study noncompact surfaces evolving by mean curvature flow (mcf). For an open set of initial data that are $C^3$-close to round, but withou...
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cena:
330,15 |
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Cantor Minimal Systems
ISBN: 9781470441159 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Within the subject of topological dynamics, there has been considerable recent interest in systems where the underlying topological space is a Cantor set. Such systems have an inherently combinatorial nature, and seminal ideas of Anatoly Vershik allowed for a combinatorial model, called the Bratteli-Vershik model, for such systems with no non-trivial closed invariant subsets. This model led to a construction of an ordered abelian group which is an algebraic invariant of the system providing a complete classification of such systems up to orbit equivalence. The goal of this book is to give...
Within the subject of topological dynamics, there has been considerable recent interest in systems where the underlying topological space is a Cantor ...
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cena:
290,73 |
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Modern Geometry: A Celebration of the Work of Simon Donaldson
ISBN: 9781470440947 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.
This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60...
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cena:
586,39 |
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Needle Decompositions in Riemannian Geometry
ISBN: 9781470425425 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In a nutshell, the author's method is based on the following observation: When the Ricci curvature is non-negative, log-concave measures are obtained when conditioning the Riemannian volume measure with respect to a geodesic foliation that is orthogonal to the level sets of a Lipschitz function. The Monge mass transfer problem plays an important role in the author's analysis.
The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In ...
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cena:
315,37 |
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Selected Works of Phillip A. Griffiths with Commentary: Algebraic Cycles (2003-2007)
ISBN: 9781470436575 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the period since the original four volumes of Phillip Griffiths's Selecta were published (Selected Works of Phillip A. Griffiths with Commentary), Parts 1-4, Collected Works, Volume 18), Griffiths has continued to produce beautiful and important work. The current two-part publication brings Griffiths's Selecta up to date by including the majority of his recent articles, as well as two older papers on differential geometry whose length had precluded their inclusion in the original Selecta. The papers are organized along the three main topics: Differential Geometry and Hodge Theory (Part...
In the period since the original four volumes of Phillip Griffiths's Selecta were published (Selected Works of Phillip A. Griffiths with Commentary), ...
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cena:
527,26 |
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Topology as Fluid Geometry: Two-Dimensional Spaces, Volume 2
ISBN: 9781470437152 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the second of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology. The second volume deals with the topology of 2-dimensional spaces. The attempts encountered in Volume 1 to understand length and area in the plane lead to examples most...
This is the second of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a gu...
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cena:
251,31 |
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Topology as Fluid Geometry: Two-Dimensional Spaces, Volume 2
ISBN: 9781470437145 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology. The first volume begins with length measurement as dominated by the Pythagorean Theorem (three proofs) with application to number theory; areas measured by slicing and...
This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a gui...
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cena:
251,31 |
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The Maslov Index in Symplectic Banach Spaces
ISBN: 9781470428006 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The authors consider a curve of Fredholm pair of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, they obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using such decompositions the authors define the Maslov index of the curve by symplectic reduction to the classical finite-dimensional case. The authors prove the transitivity of repeated symplectic reductions and obtain the invariance of the Maslov index under symplectic reduction while recovering all...
The authors consider a curve of Fredholm pair of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. As...
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cena:
330,15 |
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Topological Complexity and Related Topics
ISBN: 9781470434366 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach. Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. It continues to be the subject of intensive research by homotopy theorists, partly due to its potential applicability, and partly due to its close relationship to more classical invariants, such as the...
This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the Ma...
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cena:
546,97 |
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Introduction to the Theory of Valuations
ISBN: 9781470443597 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. Theory of valuations on convex sets is a classical part of convex geometry which goes back at least to the positive solution of the third Hilbert problem by M. Dehn in 1900. Since then the theory has undergone a multifaceted development. The author discusses some of Hadwiger's results on valuations on convex compact sets that are continuous in the Hausdorff metric. The book also discusses the Klain-Schneider theorem as well as the proof of McMullen's conjecture, which led subsequently to many further applications and advances in the theory. The last section gives an overview of more recent...
Theory of valuations on convex sets is a classical part of convex geometry which goes back at least to the positive solution of the third Hilbert prob...
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cena:
231,60 |
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Function Theory on Symplectic Manifolds
ISBN: 9781470416935 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechanics. Since the 1980s, powerful methods such as Gromov's pseudo-holomorphic curves and Morse-Floer theory on loop spaces gave rise to the discovery of unexpected symplectic phenomena. The present book focuses on function spaces associated with a symplectic manifold. A number of recent advances show that these spaces exhibit intriguing properties and structures, giving rise to an alternative intuition and new tools in symplectic topology. The book...
This is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechan...
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cena:
546,97 |
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Poincare-Einstein Holography for Forms via Conformal Geometry in the Bulk
ISBN: 9781470410926 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The authors study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. They solve these Laplace-type boundary problems formally, and to all orders, by constructing an operator which projects arbitrary forms to solutions. They also develop a product formula for solving these asymptotic problems in general. The central tools of their approach are (i) the conformal geometry of differential forms and the associated exterior tractor calculus, and (ii) a generalised notion of scale which encodes the connection between the underlying geometry and its...
The authors study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. They solve these Laplace-type boundar...
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cena:
344,94 |
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Women in Topology: Collaborations in Homotopy Theory
ISBN: 9781470410131 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the proceedings of the WIT: Women in Topology workshop, held from August 18-23, 2013, at the Banff International Research Station, Banff, Alberta, Canada. The Women in Topology workshop was devoted primarily to active collaboration by teams of five to seven participants, each including senior and junior researchers, as well as graduate students. This volume contains papers based on the results obtained by team projects in homotopy theory, including $A$-infinity structures, equivariant homotopy theory, functor calculus, model categories, orbispaces, and topological...
This volume contains the proceedings of the WIT: Women in Topology workshop, held from August 18-23, 2013, at the Banff International Research Station...
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cena:
546,97 |
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Discrete Geometry and Algebraic Combinatorics
ISBN: 9781470409050 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California, USA. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of...
This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Dieg...
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cena:
546,97 |