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Geometry I: Basic Ideas and Concepts of Differential Geometry
ISBN: 9783540519997 / Angielski / Twarda / 266 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes. In this volume of the Encyclopaedia, the authors give a tour of the principal areas and methods of modern differential geomerty. The book is structured so that the reader may choose parts of the text to read and still take away a completed picture of some area of differential geometry. Beginning at the introductory level...
Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerati...
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524,53 zł |
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Natural Operations in Differential Geometry
ISBN: 9783540562351 / Angielski / Twarda / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle...
The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential geometry. This is...
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484,18 zł |
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Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour
ISBN: 9783540570431 / Angielski / Twarda / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is devoted to the "hyperbolic theory" of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "significant" subsets in the phase space. Hyperbolicity the property that under a small displacement of any of a trajectory consists in point of it to one side of the trajectory, the change with time of the relative positions of the original and displaced points resulting from the action of the DS is reminiscent of the mot ion next to a...
This volume is devoted to the "hyperbolic theory" of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra j...
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403,47 zł |
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Transformation Groups in Differential Geometry
ISBN: 9783540586593 / Angielski / Miękka / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with...
Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biase...
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221,90 zł |
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Geometric Measure Theory
ISBN: 9783540606567 / Angielski / Miękka / 677 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews ..". Federer's timely and beautiful book indeed fills the need for a comprehensive treatise on geometric measure theory, and his detailed exposition leads from the foundations of the theory to the most recent discoveries. ... The author writes with a distinctive style which is both natural and powerfully economical in treating a complicated subject. This book is a major treatise in mathematics and is essential in the working library of the modern analyst."
Bulletin of the London Mathematical Society From the reviews ..". Federer's timely and beautiful book indeed fills the need for a comprehensive treatise on geometric measure theory, and h...
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cena:
221,90 zł |
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Gauge Field Theory and Complex Geometry
ISBN: 9783540613787 / Angielski / Twarda / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: ..". focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex...
From the reviews: ..". focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very disti...
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524,53 zł |
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Hyperbolic Complex Spaces
ISBN: 9783540635345 / Angielski / Twarda / 474 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Caratheodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area."
In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to ...
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443,82 zł |
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A Panoramic View of Riemannian Geometry
ISBN: 9783540653172 / Angielski / Twarda / 824 str. Termin realizacji zamówienia: 1-3 dni roboczych Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to...
Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living ...
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412,38 zł |
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Einstein’s Field Equations and Their Physical Implications: Selected Essays in Honour of Jürgen Ehlers
ISBN: 9783540670735 / Angielski / Twarda / 433 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields.
The book addresses researchers in relativity and differential geometry but can also be used as... This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations an...
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403,47 zł |
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A Tribute to C.S. Seshadri: A Collection of Articles on Geometry and Representation Theory
ISBN: 9783764304447 / Angielski / Twarda / 551 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. C.S. Seshadri turned seventy on the 29th of February, 2002. To mark this occasion, a symposium was held in Chennai, India, where some of his colleagues gave expository talks highlighting Seshadri's contributions to mathematics. This volume includes expanded texts of these talks as well as research and expository papers on geometry and representation theory. It will serve as an excellent reference for researchers and students in these areas. C.S. Seshadri turned seventy on the 29th of February, 2002. To mark this occasion, a symposium was held in Chennai, India, where some of his collea... |
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403,47 zł |
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Symplectic Geometry of Integrable Hamiltonian Systems
ISBN: 9783764321673 / Angielski / Miękka / 226 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions of an integrable system is a result of the fact that the system is invariant under a (semi-global) torus action. It is thus natural to investigate the symplectic manifolds that can be endowed with a (global) torus action. This leads to symplectic toric manifolds (Part B of this book). Physics makes a surprising come-back in Part A: to describe Mirror Symmetry, one looks for a special... Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular ... |
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161,21 zł |
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Surface Evolution Equations: A Level Set Approach
ISBN: 9783764324308 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a self-contained introduction to the analytic foundation of a level set method for various surface evolution equations including curvature flow equations. These equations are important for many fields of applications, such as material sciences, image processing and differential geometry. The goal is to introduce a generalized notion of solutions allowing singularities, and to solve the initial-value problem globally-in-time in a generalized sense. Various equivalent definitions of solutions are studied. Several new results on equivalence are also presented. Further, a...
This book presents a self-contained introduction to the analytic foundation of a level set method for various surface evolution equations including cu...
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718,78 zł |
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Holomorphic Curves in Symplectic Geometry
ISBN: 9783764329976 / Angielski / Twarda / 331 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techniques of Riemannian geometry, proofs of Gromov's compactness theorem, an investigation of local properties of holomorphic curves, including positivity of intersections, and applications to Lagrangian embeddings problems. The chapters are based on a series of lectures given previously by the authors M. Audin, A. Banyaga, P. Gauduchon, F. Labourie, J. Lafontaine, F. Lalonde, Gang Liu, D. McDuff, M.-P. Muller, P. Pansu, L. Polterovich, J.C....
This book is devoted to pseudo-holomorphic curve methods in symplectic geometry. It contains an introduction to symplectic geometry and relevant techn...
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201,72 zł |
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Lectures on the Geometry of Poisson Manifolds
ISBN: 9783764350161 / Angielski / Twarda / 206 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable and symplectic manifolds. The aim of the book is to provide the reader with a monograph that enables him to study systematically basic and advanced material on the recently developed theory of Poisson manifolds, and that also offers ready access to bibliographical references for the continuation of...
This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretica...
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cena:
443,82 zł |
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The Floer Memorial Volume
ISBN: 9783764350444 / Angielski / Twarda / 691 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Andreas Floer's visions and contributions have significantly influenced the developments of mathematics. This work presents a collection of invited contributions, and survey articles as well as research papers on his fields of interest, bearing testimony of the high esteem and appreciation this brilliant mathematician enjoyed among his colleagues.
Andreas Floer's visions and contributions have significantly influenced the developments of mathematics. This work presents a collection of invited co...
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cena:
403,47 zł |
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Lectures on Spaces of Nonpositive Curvature
ISBN: 9783764352424 / Angielski / Miękka / 120 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geometric (and combinatorial) group theory, topology, dynamical systems and probability theory. In the first two chapters of the book, a concise introduction into these spaces is given, culminating in the Hadamard-Cartan theorem and the discussion of the ideal boundary at infinity for simply connected complete spaces of nonpositive curvature. In the third chapter, qualitative properties of the geodesic flow on geodesically complete spaces of...
Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geome...
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cena:
120,86 zł |
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Sub-Riemannian Geometry
ISBN: 9783764354763 / Angielski / Twarda / 398 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen years, with motivations and ramifications in several parts of pure and applied mathematics, namely: Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain ... |
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403,47 zł |
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Canonical Metrics in Kähler Geometry
ISBN: 9783764361945 / Angielski / Miękka / 101 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There has been fundamental progress in complex differential geometry in the last two decades. For one, The uniformization theory of canonical Kahler metrics has been established in higher dimensions, and many applications have been found, including the use of Calabi-Yau spaces in superstring theory. This monograph gives an introduction to the theory of canonical Kahler metrics on complex manifolds. It also presents some advanced topics not easily found elsewhere. "There has been fundamental progress in complex differential geometry in the last two decades. For one, The uniformization theory of canonical Kahle... |
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302,60 zł |
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Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems
ISBN: 9783764365769 / Angielski / Miękka / 122 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This title provides and introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems. It should help the reader to access the ideas of the theory and to aquire a unified perspective of the subject.
This title provides and introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely in...
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201,72 zł |
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Index Theory for Symplectic Paths with Applications
ISBN: 9783764366476 / Angielski / Twarda / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based upon my monograph Index Theory for Hamiltonian Systems with Applications published in 1993 in Chinese, and my notes for lectures and courses given at Nankai University, Brigham Young University, ICTP-Trieste, and the Institute of Mathematics of Academia Sinica during the last ten years. The aim of this book is twofold: (1) to give an introduction to the index theory for symplectic matrix paths and its iteration theory, which form a basis for the Morse theoretical study on Hamilto nian systems, and to give applications of this theory to periodic boundary value problems of...
This book is based upon my monograph Index Theory for Hamiltonian Systems with Applications published in 1993 in Chinese, and my notes for lectures an...
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cena:
524,53 zł |
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