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Differential Geometry and Topology: With a View to Dynamical Systems
ISBN: 9781584882534 / Angielski / Twarda / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Provides a clear introduction to three related subjects whose interplay enhances intuitive understanding Focuses on geodesics as a tool for better understanding Riemannian geometry and as a source of examples in dynamical systems Offers a unique presentation of the very modern theory of the Conley index as a generalization of Morse theory and as a means for understanding topological dynamical systems Takes an example-based approach to the more cryptic notions of differential geometry Accessible, concise, and self-contained, this book offers an outstanding introduction to three related...
Provides a clear introduction to three related subjects whose interplay enhances intuitive understanding Focuses on geodesics as a tool for better und...
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701,59 zł |
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Asymptotic Formulae in Spectral Geometry
ISBN: 9781584883586 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content coefficients in the heat equation. It incorporates the work of many authors into the presentation, and includes a complete bibliography that serves as a roadmap to the literature on the subject. Geometers,...
A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asym...
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909,47 zł |
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Modern Differential Geometry of Curves and Surfaces with Mathematica
ISBN: 9781584884484 / Angielski / Twarda / 1016 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This third edition of Alfred Gray's famous textbook continues to offer an outstanding presentation of how to define and compute standard geometric functions along with a dialect of Mathematica for constructing new curves and surfaces from existing ones. Since Gray's death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they have reorganized the material to provide a clearer division between the text and the Mathematica code, added a Mathematica notebook as an appendix to each chapter, and addressed important new topics,...
This third edition of Alfred Gray's famous textbook continues to offer an outstanding presentation of how to define and compute standard geometric fun...
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701,59 zł |
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Topics in Differential Geometry: A New Approach Using D-Differentiation
ISBN: 9781852334918 / Angielski / Twarda / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. D-differentiation is a unified operation that enables aspects of differential geometry to be developed and presented from a new perspective. This book is the first comprehensive and self-contained treatment of this new method. It demonstrates, concisely but without sacrificing rigour or intelligibility, how even elementary concepts in differential geometry can be reformulated to obtain new and valuable insights. In addition, D-differentiation has applications in several areas of physics, such as classical mechanics, solid-state physics and general relativity.
This book will... D-differentiation is a unified operation that enables aspects of differential geometry to be developed and presented from a new perspective. Th...
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194,52 zł |
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An Introduction to Differential Manifolds
ISBN: 9781860943546 / Angielski / Twarda / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincaré-Hopf theorem relating the Euler number of a manifold and the index of a vector field. Each chapter contains exercises of varying difficulty for which solutions are provided. Special features include...
This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topolog...
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317,02 zł |
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The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds
ISBN: 9781860947858 / Angielski / Twarda / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov-Tsankov-Videv theory.
Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature g...
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732,77 zł |
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Circle-valued Morse Theory
ISBN: 9783110158076 / Angielski / Twarda / 463 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the early 1920s M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology. Circle-valued Morse theory originated from a problem in hydrodynamics studied by S. P. Novikov in the early 1980s. Nowadays, it is a constantly growing field of contemporary mathematics with applications and connections to many geometrical problems such as Arnold's conjecture in the theory of Lagrangian... In the early 1920s M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of ... |
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913,31 zł |
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Embedding Problems in Symplectic Geometry
ISBN: 9783110178760 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair,... The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two deca... |
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1000,29 zł |
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Geometric Inequalities
ISBN: 9783540136156 / Angielski / Twarda / 334 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.
A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequa...
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583,65 zł |
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Riemannian Geometry
ISBN: 9783540204930 / Angielski / Miękka / 322 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many years have passed since the ?rst edition. However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Riemannian Geometry has undergone many dramatic - velopments. Here is not the place to relate them. The reader can consult for instance the recent book Br5]. of our "mentor" Marcel Berger. However, R- mannian Geometry is not only a fascinating ?eld in itself. It has proved to be a precious tool in other parts of mathematics. In this respect, we can quote the major breakthroughs in four-dimensional topology which occurred...
Many years have passed since the ?rst edition. However, the encouragements of various readers and friends have persuaded us to write this third editio...
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272,35 zł |
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Topological Invariants of Stratified Spaces
ISBN: 9783540385851 / Angielski / Twarda / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The homology of manifolds enjoys a remarkable symmetry: Poincare duality. If the manifold is triangulated, then this duality can be established by associating to a s- plex its dual block in the barycentric subdivision. In a manifold, the dual block is a cell, so the chain complex based on the dual blocks computes the homology of the manifold. Poincare duality then serves as a cornerstone of manifold classi cation theory. One reason is that it enables the de nition of a fundamental bordism inva- ant, the signature. Classifying manifolds via the surgery program relies on modifying a manifold by...
The homology of manifolds enjoys a remarkable symmetry: Poincare duality. If the manifold is triangulated, then this duality can be established by ass...
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389,09 zł |
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Painleve Equations in the Differential Geometry of Surfaces
ISBN: 9783540414148 / Angielski / Miękka / 120 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the time of surfaces -+ in differential Gauss, parametrized (x, y) P(x, y) have been described a frame attached to the moving geometry through TI(x, y) surface. One introduces the Gauss- which linear dif- Weingarten equations are, ferential equations = U = TIX T1, VT', PY (1. for the and their condition frame, compatibility - = V + U, V] 0, UY (1.2) which the Gauss-Codazzi For surfaces in three-dim- represents equations . a sional Euclidean the frame T1 lies in the usually or space, group SO(3) SU(2). On the other a of a non-linear in the form hand, representation equation (1.2) is...
Since the time of surfaces -+ in differential Gauss, parametrized (x, y) P(x, y) have been described a frame attached to the moving geometry through T...
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136,00 zł |
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Lectures on Symplectic Geometry
ISBN: 9783540421955 / Angielski / Miękka / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes approximately transcribe a 15-week course on symplectic geometry I taught at UC Berkeley in the Fall of 1997. The course at Berkeley was greatly inspired in content and style by Victor Guillemin, whose masterly teaching of beautiful courses on topics related to s- plectic geometry at MIT, I was lucky enough to experience as a graduate student. I am very thankful to him That course also borrowed from the 1997 Park City summer courses on symplectic geometry and topology, and from many talks and discussions of the symplectic geometry group at MIT. Among the regular participants in...
These notes approximately transcribe a 15-week course on symplectic geometry I taught at UC Berkeley in the Fall of 1997. The course at Berkeley was g...
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233,44 zł |
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Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001
ISBN: 9783540440598 / Angielski / Miękka / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kahler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and r... |
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291,81 zł |
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Geometric, Control and Numerical Aspects of Nonholonomic Systems
ISBN: 9783540441540 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical...
Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This w...
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cena:
194,52 zł |
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Topology II: Homotopy and Homology. Classical Manifolds
ISBN: 9783540519966 / Angielski / Twarda / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. Terminology and Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 1. Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 2. Logical Equivalence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 3. Topological Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts . . . . . . . . . . . . ....
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cena:
505,83 zł |
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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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cena:
505,83 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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cena:
466,91 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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cena:
389,09 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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cena:
213,98 zł |
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