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Lagrange and Finsler Geometry: Applications to Physics and Biology
ISBN: 9789048146567 / Angielski / Miękka / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. Nevertheless, such geometries are playing an increasingly important role in a wide variety of problems in fields ranging from relativistic optics to ecology. The present collection of papers will serve to bring the reader up-to-date on the most recent advances. Subjects treated include higher order Lagrange geometry, the recent theory of -Lagrange manifolds, electromagnetic theory and neurophysiology. Audience: This book is recommended as a...
The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian...
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402,53 |
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Singular Semi-Riemannian Geometry
ISBN: 9789048146895 / Angielski / Miękka / 181 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is an exposition of singular semi-Riemannian geometry, i.e. 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 metric tensors are assumed to be nondegenerate. In the literature manifolds with degenerate metric tensors have been studied extrinsically as degenerate submanifolds of semi-Riemannian manifolds. Here, the intrinsic structure of a manifold with a degenerate metric tensor is studied first, and then it is studied extrinsically by considering it as a degenerate...
This volume is an exposition of singular semi-Riemannian geometry, i.e. the study of a smooth manifold furnished with a degenerate (singular) metric t...
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402,53 |
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The Geometry of Higher-Order Lagrange Spaces: Applications to Mechanics and Physics
ISBN: 9789048147892 / Angielski / Miękka / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph is devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations. It presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. A geometrical study of the notion of the higher-order Lagrange space is conducted, and the old problem of prolongation of Riemannian spaces to k-osculator manifolds is solved. Also, the geometrical ground for variational calculus on the integral of actions involving higher-order Lagrangians is dealt with. Applications to higher-order analytical mechanics and...
This monograph is devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations. It presents a construction of ...
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603,81 |
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Semi-Riemannian Maps and Their Applications
ISBN: 9789048152025 / Angielski / Miękka / 198 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called semi-Riemannian maps is introduced. The main purpose of this book is to present results in semi-Riemannian geometry obtained by the existence of such a map between semi-Riemannian manifolds, as well as to encourage the reader to explore these maps.
The first three chapters are devoted to the development of fundamental concepts and formulas in semi-Riemannian geometry which are used throughout... A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric p...
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402,53 |
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Pfaffian Systems, K-Symplectic Systems
ISBN: 9789048154869 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of foliations and contact forms have experienced such great de velopment recently that it is natural they have implications in the field of mechanics. They form part of the framework of what Jean Dieudonne calls "Elie Cartan's great theory ofthe Pfaffian systems," and which even nowa days is still far from being exhausted. The major reference work is. without any doubt that of Elie Cartan on Pfaffian systems with five variables. In it one discovers there the bases of an algebraic classification of these systems, their methods of reduction, and the highlighting ofthe first...
The theory of foliations and contact forms have experienced such great de velopment recently that it is natural they have implications in the field of...
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201,24 |
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Geometry of Pseudo-Finsler Submanifolds
ISBN: 9789048156016 / Angielski / Miękka / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book begins with a new approach to the geometry of pseudo-Finsler manifolds. It also discusses the geometry of pseudo-Finsler manifolds and presents a comparison between the induced and the intrinsic Finsler connections. The Cartan, Berwald, and Rund connections are all investigated. Included also is the study of totally geodesic and other special submanifolds such as curves, surfaces, and hypersurfaces. Audience: The book will be of interest to researchers working on pseudo-Finsler geometry in general, and on pseudo-Finsler submanifolds in particular.
This book begins with a new approach to the geometry of pseudo-Finsler manifolds. It also discusses the geometry of pseudo-Finsler manifolds and prese...
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cena:
201,24 |
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Differential Geometry of Spray and Finsler Spaces
ISBN: 9789048156733 / Angielski / Miękka / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a comprehensive report of recent developments in Finsler geometry and Spray geometry. Riemannian geometry and pseudo-Riemannian geometry are treated as the special case of Finsler geometry. The geometric methods developed in this subject are useful for studying some problems arising from biology, physics, and other fields. Audience: The book will be of interest to graduate students and mathematicians in geometry who wish to go beyond the Riemannian world. Scientists in nature sciences will find the geometric methods presented useful.
This book is a comprehensive report of recent developments in Finsler geometry and Spray geometry. Riemannian geometry and pseudo-Riemannian geometry ...
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cena:
402,53 |
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Supermanifolds and Supergroups: Basic Theory
ISBN: 9789048166329 / Angielski / Miękka / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires... Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear... |
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402,53 |
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Geometry of Principal Sheaves
ISBN: 9789048168583 / Angielski / Miękka / 444 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. L inj enuit m eme d un regard neuf (celui de la science l est toujours) peut parfois clairer d un jour nouveau d anciens probl emes. J.Monod 77, p. 13] his book is intended as a comprehensive introduction to the theory of T principalsheaves andtheirconnections inthesettingofAbstractDi?- ential Geometry (ADG), the latter being initiated by A. Mallios sGeometry of Vector Sheaves 62]. Based on sheaf-theoretic methods and sheaf - homology, the presentGeometry of Principal Sheaves embodies the classical theory of connections on principal and vector bundles, and connections on vector sheaves,...
L inj enuit m eme d un regard neuf (celui de la science l est toujours) peut parfois clairer d un jour nouveau d anciens probl emes. J.Monod 77, p. 1...
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402,53 |
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Foliations and Geometric Structures
ISBN: 9789048169412 / Angielski / Miękka / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of foliations of manifolds was created in the forties of the last century by Ch. Ehresmann and G. Reeb ER44]. Since then, the subject has enjoyed a rapid development and thousands of papers investigating foliations have appeared. A list of papers and preprints on foliations up to 1995 can be found in Tondeur Ton97]. Due to the great interest of topologists and geometers in this rapidly ev- ving theory, many books on foliations have also been published one after the other. We mention, for example, the books written by: I. Tamura Tam76], G. Hector and U. Hirsch HH83], B. Reinhart...
The theory of foliations of manifolds was created in the forties of the last century by Ch. Ehresmann and G. Reeb ER44]. Since then, the subject has ...
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402,53 |
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Lectures on Minimal Surfaces: Volume 1, Introduction, Fundamentals, Geometry and Basic Boundary Value Problems
ISBN: 9780521137782 / Angielski / Miękka / 592 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This 1989 monograph deals with parametric minimal surfaces in Euclidean space. The author presents a broad survey which extends from the classical beginnings to the current situation whilst highlighting many of the subject's main features and interspersing the mathematical development with pertinent historical remarks. The presentation is complete and is complemented by a bibliography of nearly 1600 references. The careful expository style and emphasis on geometric aspects are extremely valuable. Moreover, in the years leading up to the publication of this book, the theory of minimal surfaces...
This 1989 monograph deals with parametric minimal surfaces in Euclidean space. The author presents a broad survey which extends from the classical beg...
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cena:
321,00 |
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Elliptic Operators and Compact Groups
ISBN: 9783540068556 / Angielski / Miękka / 100 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
112,68 |
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Algorithmen Zur Gefäßerkennung Für Die Koronarangiographie Mit Synchrotronstrahlung
ISBN: 9783834810359 / Niemiecki / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Anhand der Anwendungsszenarien Koronarscreening und Blutflussmessung untersucht Jorg Mielebacher die Eigenschaften der wichtigsten auftretenden Bildinhalte, also der Blutgefae, Herzinnenraume und Herzmuskel.
Anhand der Anwendungsszenarien Koronarscreening und Blutflussmessung untersucht Jorg Mielebacher die Eigenschaften der wichtigsten auftretenden Bildin...
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263,32 |
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Geometry III: Theory of Surfaces
ISBN: 9783642081026 / Angielski / Miękka / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The original version of this article was written more than fiveyears ago with S. Z. Shefel', a profound and original mathematician who died in 1984. Sincethen the geometry of surfaces has continued to be enriched with ideas and results. This has required changes and additions, but has not influenced the character of the article, the design ofwhich originated with Shefel'. Without knowing to what extent Shefel' would have approved the changes, I should nevertheless like to dedicate this article to his memory. (Yu. D. Burago) We are trying to state the qualitative questions of the theory of...
The original version of this article was written more than fiveyears ago with S. Z. Shefel', a profound and original mathematician who died in 1984. S...
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402,53 |
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Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour
ISBN: 9783642081682 / Angielski / Miękka / 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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402,53 |
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Geometry V: Minimal Surfaces
ISBN: 9783642082252 / Angielski / Miękka / 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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402,53 |
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Gauge Field Theory and Complex Geometry
ISBN: 9783642082566 / Angielski / Miękka / 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 distin...
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cena:
523,30 |
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Control Theory and Optimization I: Homogeneous Spaces and the Riccati Equation in the Calculus of Variations
ISBN: 9783642086038 / Angielski / Miękka / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is devoted to the development of geometrie methods for studying and revealing geometrie aspects of the theory of differential equations with quadratie right-hand sides (Riccati-type equations), which are closely related to the calculus of variations and optimal control theory. The book contains the following three parts, to each of which aseparate book could be devoted: 1. the classieal calculus of variations and the geometrie theory of the Riccati equation (Chaps. 1-5), 2. complex Riccati equations as flows on Cartan-Siegel homogeneity da mains (Chap. 6), and 3. the minimization...
This book is devoted to the development of geometrie methods for studying and revealing geometrie aspects of the theory of differential equations with...
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cena:
402,53 |
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Einstein’s Field Equations and Their Physical Implications: Selected Essays in Honour of Jürgen Ehlers
ISBN: 9783642086373 / Angielski / Miękka / 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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402,53 |
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Generalized Curvatures
ISBN: 9783642093005 / Angielski / Miękka / 266 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The intent of this book is to set the modern foundations of the theory of generalized curvature measures. This subject has a long history, beginning with J. Steiner (1850), H. Weyl (1939), H. Federer (1959), P. Wintgen (1982), and continues today with young and brilliant mathematicians. In the last decades, a renewal of interest in mathematics as well as computer science has arisen (finding new applications in computer graphics, medical imaging, computational geometry, visualization ...). Following a historical and didactic approach, the book introduces the mathematical background of... The intent of this book is to set the modern foundations of the theory of generalized curvature measures. This subject has a long history, beginnin... |
cena:
483,04 |
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