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Basic Concepts of Synthetic Differential Geometry
ISBN: 9780792339410 / Angielski / Twarda / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent...
Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary anal...
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cena:
805,10 |
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Singular Semi-Riemannian Geometry
ISBN: 9780792339960 / Angielski / Twarda / 181 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an exposition of "Singular Semi-Riemannian Geometry"- the study of a smooth manifold furnished with a degenerate (singular) metric tensor of arbitrary signature. The main topic of interest is those cases where the metric tensor is assumed to be nondegenerate. In the literature, manifolds with degenerate metric tensors have been studied extrinsically as degenerate submanifolds of semi Riemannian manifolds. One major aspect of this book is first to study the intrinsic structure of a manifold with a degenerate metric tensor and then to study it extrinsically by considering it as a...
This book is an exposition of "Singular Semi-Riemannian Geometry"- the study of a smooth manifold furnished with a degenerate (singular) metric tensor...
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cena:
402,53 |
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A User's Guide to Algebraic Topology
ISBN: 9780792342939 / Angielski / Miękka / 410 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; indeed, the book arose from such courses taught by the authors. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. A certain amount of redundancy is built in for the reader's convenience: we hope to minimize: fiipping back and forth, and we have provided some appendices for reference. The first three are concerned with background...
We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rathe...
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cena:
523,30 |
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Geometry, Topology and Quantization
ISBN: 9780792343059 / Angielski / Twarda / 230 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a monograph on geometrical and topological features which arise in various quantization procedures. Quantization schemes consider the feasibility of arriving at a quantum system from a classical one and these involve three major procedures viz. i) geometric quantization, ii) Klauder quantization, and iii) stochastic quanti zation. In geometric quantization we have to incorporate a hermitian line bundle to effectively generate the quantum Hamiltonian operator from a classical Hamil tonian. Klauder quantization also takes into account the role of the connection one-form along with...
This is a monograph on geometrical and topological features which arise in various quantization procedures. Quantization schemes consider the feasibil...
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cena:
402,53 |
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New Developments in Differential Geometry, Budapest 1996: Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996
ISBN: 9780792353072 / Angielski / Twarda / 519 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In succesion to former international meetings on differential geometry held in Hungary and also as a satellite conference of ECM96, the European Mathematical Congress, a Conference on Differential Geometry took place in Budapest from July 27 to July 30, 1996. The host of the Conference was Lorand Eotvos University. The Conference had the following Programme Committee: D.V. Alekseevsky, J.J. Duistermaat, J. Eells, A. Haefliger, O. Kowalski, S. Marchifava, J. Szenthe, L. Tamassy, L. Vanhecke. The participants came mainly from Europe and their total number was 190. The programme included plenary...
In succesion to former international meetings on differential geometry held in Hungary and also as a satellite conference of ECM96, the European Mathe...
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cena:
402,53 |
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Geometry of Pseudo-Finsler Submanifolds
ISBN: 9780792366645 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Finsler geometry is the most natural generalization of Riemannian geo metry. It started in 1918 when P. Finsler 1] wrote his thesis on curves and surfaces in what he called generalized metric spaces. Studying the geometry of those spaces (which where named Finsler spaces or Finsler manifolds) became an area of active research. Many important results on the subject have been brought together in several monographs (cf., H. Rund 3], G. Asanov 1], M. Matsumoto 6], A. Bejancu 8], P. L. Antonelli, R. S. Ingar den and M. Matsumoto 1], M. Abate and G. Patrizio 1] and R. Miron 3]) . However,...
Finsler geometry is the most natural generalization of Riemannian geo metry. It started in 1918 when P. Finsler 1] wrote his thesis on curves and sur...
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cena:
201,24 |
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Differential Geometry of Spray and Finsler Spaces
ISBN: 9780792368687 / Angielski / Twarda / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book we study sprays and Finsler metrics. Roughly speaking, a spray on a manifold consists of compatible systems of second-order ordinary differential equations. A Finsler metric on a manifold is a family of norms in tangent spaces, which vary smoothly with the base point. Every Finsler metric determines a spray by its systems of geodesic equations. Thus, Finsler spaces can be viewed as special spray spaces. On the other hand, every Finsler metric defines a distance function by the length of minimial curves. Thus Finsler spaces can be viewed as regular metric spaces. Riemannian spaces...
In this book we study sprays and Finsler metrics. Roughly speaking, a spray on a manifold consists of compatible systems of second-order ordinary diff...
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cena:
402,53 |
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The Geometry of Hamilton and Lagrange Spaces
ISBN: 9780792369264 / Angielski / Twarda / 338 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and Hamilton space are completely new. The geometry of Lagrange spaces, introduced and studied in 76], 96], was ext- sively examined in the last two decades by geometers and physicists from Canada, Germany, Hungary, Italy, Japan, Romania, Russia and U.S.A. Many international conferences were devoted to debate this subject, proceedings and monographs were published 10], 18], 112], 113], ... A large area of applicability of this geometry is...
The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and H...
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cena:
442,79 |
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Minimal Surfaces and Functions of Bounded Variation
ISBN: 9780817631536 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variations, and is one which received a satis factory solution only in recent years. Called the problem of Plateau, after the blind physicist who did beautiful experiments with soap films and bubbles, it has resisted the efforts of many mathematicians for more than a century. It was only in the thirties that a solution was given to the problem of Plateau in 3-dimensional Euclidean space, with the...
The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first conside...
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cena:
684,33 |
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Compactifications of Symmetric and Locally Symmetric Spaces
ISBN: 9780817632472 / Angielski / Twarda / 496 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric... |
cena:
523,30 |
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The Breadth of Symplectic and Poisson Geometry: Festschrift in Honor of Alan Weinstein
ISBN: 9780817635657 / Angielski / Twarda / 654 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. * The invited papers in this volume are written in honor of Alan Weinstein, one of the world s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics"
* The invited papers in this volume are written in honor of Alan Weinstein, one of the world s foremost geometers * Contributions cover a broad ... |
cena:
644,07 |
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Regularity Theory for Mean Curvature Flow
ISBN: 9780817637811 / Angielski / Miękka / 165 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. * Devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature flow. * Mean curvature flow and related geometric evolution equations are important tools in mathematics and mathematical physics.
* Devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat ... |
cena:
442,79 |
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Geometry of Harmonic Maps
ISBN: 9780817638207 / Angielski / Twarda / 246 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics, minimal surfaces and harmonic functions. Harmonic maps are also closely related to holomorphic maps in several complex variables, to the theory of stochastic processes, to nonlinear field theory in theoretical physics, and to the theory of liquid crystals in materials science. During the past thirty years this subject has been developed extensively. The monograph is by no means intended to give a complete description of the theory of...
Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as...
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cena:
402,53 |
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Locally Conformal Kähler Geometry
ISBN: 9780817640200 / Angielski / Twarda / 330 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. . E C, 0 '1 . be the O-dimensional Lie n group generated by the transformation z >.z, z E C - . Then (cf.
. E C, 0 '1 . be the O-dimensional Lie n group generated by the transformation z >.z, z E C - . Then (cf.
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cena:
402,53 |
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Advances in Geometry: Volume 1
ISBN: 9780817640446 / Angielski / Twarda / 403 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an outgrowth of the activities of the Center for Geometry and Mathematical Physics (CGMP) at Penn State from 1996 to 1998. The Center was created in the Mathematics Department at Penn State in the fall of 1996 for the purpose of promoting and supporting the activities of researchers and students in and around geometry and physics at the university. The CGMP brings many visitors to Penn State and has ties with other research groups; it organizes weekly seminars as well as annual workshops The book contains 17 contributed articles on current research topics in a variety of fields:...
This book is an outgrowth of the activities of the Center for Geometry and Mathematical Physics (CGMP) at Penn State from 1996 to 1998. The Center was...
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cena:
402,53 |
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Geodesic Flows
ISBN: 9780817641443 / Angielski / Twarda / 149 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered are close to my research interests. An important goal here is to describe properties of the geodesic flow which do not require curvature assumptions. A typical example of such a property and a central result in this work is Mane's formula that relates the topological entropy of the geodesic flow with the exponential growth rate of the average numbers of geodesic arcs between two points in the manifold. The material here can be reasonably covered...
The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered ar...
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cena:
402,53 |
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Plane Networks and Their Applications
ISBN: 9780817641931 / Angielski / Twarda / 170 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Surely most geodesists have been occupied by seeking optimal shapes of a net work. I'm no exception. This book contains the more fruitful results on the topic. No matter how you choose to understand the adjective "optimal," it is no doubt useful as a beginning to understand error propagation in various types of net works. Basically, geodesists are familar with the actual, discrete network. So this book brings together some elementary means of analyzing networks with a few hundred points. The effectofchanging boundary conditions is especially studied. The variance propagation in the network is...
Surely most geodesists have been occupied by seeking optimal shapes of a net work. I'm no exception. This book contains the more fruitful results on t...
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cena:
201,24 |
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The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov
ISBN: 9780817642327 / Angielski / Twarda / 474 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The volume is dedicated to AA. Kirillov and emerged from an international con- ference which was held in Luminy, Marseille, in December 2000, on the occasion 6 of Alexandre Alexandrovitch's 2 th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the de- velopment of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume...
The volume is dedicated to AA. Kirillov and emerged from an international con- ference which was held in Luminy, Marseille, in December 2000, on the o...
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cena:
402,53 |
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Flow Lines and Algebraic Invariants in Contact Form Geometry
ISBN: 9780817643188 / Angielski / Twarda / 225 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). In particular, it develops a novel algebraic tool in this field: rooted in the concept of critical points at infinity, the new algebraic invariants defined here are useful in the investigation of contact structures and Reeb vector fields. The book opens with a review of prior results and then proceeds through an examination of variational problems,... This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symple... |
cena:
201,24 |
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Differential Geometry and Analysis on CR Manifolds
ISBN: 9780817643881 / Angielski / Twarda / 488 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain r... |
cena:
724,58 |
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