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Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets
ISBN: 9789048161492 / Angielski / Miękka / 295 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is devoted to the theory of pairs of compact convex sets and in particular to the problem of finding different types of minimal representants of a pair of nonempty compact convex subsets of a locally convex vector space in the sense of the Radstrom-Hormander Theory. Minimal pairs of compact convex sets arise naturally in different fields of mathematics, as for instance in non-smooth analysis, set-valued analysis and in the field of combinatorial convexity.
In the first three chapters of the book the basic facts about convexity, mixed volumes and the Radstrom-Hormander lattice are... The book is devoted to the theory of pairs of compact convex sets and in particular to the problem of finding different types of minimal representants...
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cena:
193,19 zł |
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Complex Spaces in Finsler, Lagrange and Hamilton Geometries
ISBN: 9789048166145 / Angielski / Miękka / 228 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P. Finsler from 1918 ( Fi]). In a the classical notion also conventional classification, Finsler geometry has besides a number of generalizations, which use the same work technique and which can be considered self-geometries: Lagrange and Hamilton spaces. Finsler geometry had a period of incubation long enough, so that few math- ematicians (E. Cartan, L. Berwald, S.S. Chem, H. Rund) had the patience to penetrate into a universe of tensors, which made them compare it to a...
From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P. Finsler from 1918 ( Fi]). ...
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cena:
386,41 zł |
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Geometry IV: Non-Regular Riemannian Geometry
ISBN: 9783642081255 / Angielski / Miękka / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book contains a survey of research on non-regular Riemannian geome try, carried out mainly by Soviet authors. The beginning of this direction oc curred in the works of A. D. Aleksandrov on the intrinsic geometry of convex surfaces. For an arbitrary surface F, as is known, all those concepts that can be defined and facts that can be established by measuring the lengths of curves on the surface relate to intrinsic geometry. In the case considered in differential is defined by specifying its first geometry the intrinsic geometry of a surface fundamental form. If the surface F is non-regular,...
The book contains a survey of research on non-regular Riemannian geome try, carried out mainly by Soviet authors. The beginning of this direction oc c...
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cena:
386,41 zł |
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Vector Geometry
ISBN: 9780486481609 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This brief undergraduate-level text by a prominent Cambridge-educated mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirementfor Gilbert de B. Robinson's text, whichis the result of several years of teaching and learning the most effective methods from discussions with students.
Topics include lines and planes, determinants and linear equations, matrices, groups and linear transformations, and vectors and vector spaces. Additional subjects range from conics and quadrics to homogeneous coordinates and projective... This brief undergraduate-level text by a prominent Cambridge-educated mathematician explores the relationship between algebra and geometry. An element...
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cena:
61,37 zł |
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Collagen: Structure and Mechanics
ISBN: 9781441944818 / Angielski / Miękka / 506 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Collagen: Structure and Mechanics provides a cohesive introduction to this biological macromolecule and its many applications in biomaterials and tissue engineering. Graduate students and postdoctoral researchers in the fields of materials, (bio-)engineering, physics, chemistry and biology will gain an understanding of the structure and mechanical behavior of type I collagen and collagen-based tissues in vertebrates, across all length scales from the molecular (nano) to the organ (macro) level. Written in a clear and didactic manner, this volume includes current knowledge on the... Collagen: Structure and Mechanics provides a cohesive introduction to this biological macromolecule and its many applications in biomaterials and t... |
cena:
888,80 zł |
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Some Nonlinear Problems in Riemannian Geometry
ISBN: 9783642082368 / Angielski / Miękka / 397 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the last few years, the field of nonlinear problems has undergone great development. This book consisting of the updated Grundlehren volume 252 by the author and of a newly written part, deals with some important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved. Each problem is explained, up-to-date results are given and proofs are presented. Thus, the reader is given access, for each specific problem, to its present status of solution as well as to the most up-to-date methods for approaching it. The main...
During the last few years, the field of nonlinear problems has undergone great development. This book consisting of the updated Grundlehren volume 252...
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cena:
502,35 zł |
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Gromov's Compactness Theorem for Pseudo-Holomorphic Curves
ISBN: 9783764357351 / Angielski / Twarda / 135 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. This book aims to present in detail the original proof for Gromov's compactness theorum for pseudo-holomorphic curves. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities. A special chapter is devoted to relevant features of hyperbolic surfaces, where thick-thin decomposition is described. This text should be accessible to...
Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. This book aims to present in detail the original proof for Gromo...
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cena:
193,19 zł |
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Convex Polyhedra
ISBN: 9783642062155 / Angielski / Miękka / 542 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Convex Polyhedra is one of the classics in geometry. There simply is no other book with so many of the aspects of the theory of 3-dimensional convex polyhedra in a comparable way, and in anywhere near its detail and completeness. It is the definitive source of the classical field of convex polyhedra and contains the available answers to the question of the data uniquely determining a convex polyhedron. This question concerns all data pertinent to a polyhedron, e.g. the lengths of edges, areas of faces, etc. This vital and clearly written book includes the basics of convex polyhedra and... Convex Polyhedra is one of the classics in geometry. There simply is no other book with so many of the aspects of the theory of 3-dimensional conve... |
cena:
772,86 zł |
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Finslerian Geometries: A Meeting of Minds
ISBN: 9780792361152 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The International Conference on Finsler and Lagrange Geometry and its Applications: A Meeting of Minds, took place August 13-20, 1998 at the University of Alberta in Edmonton, Canada. The main objective of this meeting was to help acquaint North American geometers with the extensive modern literature on Finsler geometry and Lagrange geometry of the Japanese and European schools, each with its own venerable history, on the one hand, and to communicate recent advances in stochastic theory and Hodge theory for Finsler manifolds by the younger North American school, on the other. The intent was...
The International Conference on Finsler and Lagrange Geometry and its Applications: A Meeting of Minds, took place August 13-20, 1998 at the Universit...
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cena:
386,41 zł |
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Fractured Fractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure
ISBN: 9780198501664 / Angielski / Twarda / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Fractal patterns have emerged in many contexts, but what exactly is a pattern? How can one make precise the structures lying within objects and the relationships between them? This book proposes new notions of coherent geometric structure to provide a fresh approach to this familiar field. It develops a new concept of self-similarity called "BPI" or "big pieces of itself," which makes the field much easier for people to enter. This new framework is quite broad, however, and has the potential to lead to significant discoveries. The text covers a wide range of open problems, large and small,...
Fractal patterns have emerged in many contexts, but what exactly is a pattern? How can one make precise the structures lying within objects and the re...
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cena:
748,48 zł |
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New Splitting Iterative Methods for Solving Multidimensional Neutron Transport Equations
ISBN: 9781599423968 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This thesis focuses on iterative methods for the treatment of the steady state neutron transport equation in slab geometry, bounded convex domain of Rn (n = 2,3) and in 1-D spherical geometry. We introduce a generic Alternate Direction Implicit (ADI)-like iterative method based on positive definite and m-accretive splitting (PAS) for linear operator equations with operators admitting such splitting. This method converges unconditionally and its SOR acceleration yields convergence results similar to those obtained in presence of finite dimensional systems with matrices possessing the Young...
This thesis focuses on iterative methods for the treatment of the steady state neutron transport equation in slab geometry, bounded convex domain of R...
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cena:
141,70 zł |
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Convex and Discrete Geometry
ISBN: 9783642090233 / Angielski / Miękka / 580 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in other areas of mathematics and in the applied fields. Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to othe... |
cena:
695,57 zł |
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Convex Functions and Optimization Methods on Riemannian Manifolds
ISBN: 9789048144402 / Angielski / Miękka / 350 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The object of this book is to present the basic facts of convex functions, standard dynamical systems, descent numerical algorithms and some computer programs on Riemannian manifolds in a form suitable for applied mathematicians, scientists and engineers. It contains mathematical information on these subjects and applications distributed in seven chapters whose topics are close to my own areas of research: Metric properties of Riemannian manifolds, First and second variations of the p-energy of a curve; Convex functions on Riemannian manifolds; Geometric examples of convex functions; Flows,...
The object of this book is to present the basic facts of convex functions, standard dynamical systems, descent numerical algorithms and some computer ...
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cena:
579,64 zł |
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The Riemann Legacy: Riemannian Ideas in Mathematics and Physics
ISBN: 9789048148769 / Angielski / Miękka / 719 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. very small domain (environment) affects through analytic continuation the whole of Riemann surface, or analytic manifold . Riemann was a master at applying this principle and also the first who noticed and emphasized that a meromorphic function is determined by its 'singularities'. Therefore he is rightly regarded as the father of the huge 'theory of singularities' which is developing so quickly and whose importance (also for physics) can hardly be overe timated. Amazing and mysterious for our cognition is the role of Euclidean space. Even today many philosophers believe (following Kant) that...
very small domain (environment) affects through analytic continuation the whole of Riemann surface, or analytic manifold . Riemann was a master at app...
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cena:
386,41 zł |
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The Ambient Metric
ISBN: 9780691153148 / Angielski / Miękka / 128 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincare metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in... This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that ... |
cena:
351,49 zł |
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Hypoelliptic Laplacian and Orbital Integrals
ISBN: 9780691151304 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. It is essentially the weighted sum of a harmonic oscillator along the fiber of the tangent bundle, and of the generator of the geodesic flow. In this book, semisimple orbital integrals associated with the heat kernel of the Casimir operator are shown to be invariant under a suitable hypoelliptic deformation,... This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. ... |
cena:
405,56 zł |
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The Method of Coordinates
ISBN: 9780486425658 / Angielski / Miękka / 80 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This introductory text explores the translation of geometric concepts into the language of numbers in order to define the position of a point in space (the orbit of a satellite, for example). The two-part treatment begins with discussions of the coordinates of points on a line, coordinates of points in a plane, and the coordinates of points in space. Part 2 examines geometry as an aid to calculation and the necessity and peculiarities of four-dimensional space. Written for systematic study, it features a helpful series of "road signs" in the margins, alerting students to passages requiring...
This introductory text explores the translation of geometric concepts into the language of numbers in order to define the position of a point in space...
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cena:
36,74 zł |
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Coordinate Geometry
ISBN: 9781466327214 / Angielski / Miękka / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book "Coordinate Geometry" covers the concepts involved in the various topics of this subject. A few selected problems are solved after each chapter, to aid the understanding of the student. The book finishes with a collection of problems that the student must practice on, to gain expertise. The student is expected to make an honest attempt to solve the problems before looking at the suggested solutions. In doing so, the depth of understanding in the subject improves. Mathematics is not a spectator sport. It requires patience, perseverance and practice. The level of expertise in the...
The book "Coordinate Geometry" covers the concepts involved in the various topics of this subject. A few selected problems are solved after each chapt...
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cena:
64,62 zł |
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Analytical Geometry
ISBN: 9789812568571 / Angielski / Miękka / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
179,80 zł |
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Complex Analytic Geometry: From the Localization Viewpoint
ISBN: 9789814374705 / Angielski / Twarda / 470 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Complex Analytic Geometry is one of the most important fields of Mathematics. It has a long history that culminated in the Cauchy integral formula in the 19th century. The theory was vastly developed and closely related to many other fields of Mathematics as well as the Sciences, where numerous applications have been found. This book starts off with the basic material, introducing characteristic classes mainly via the Chern - Weil theory, explaining the idea of localization of characteristic classes and presenting the aforementioned invariants and relations in a unified way from this...
Complex Analytic Geometry is one of the most important fields of Mathematics. It has a long history that culminated in the Cauchy integral formula in ...
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cena:
924,68 zł |