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Riemannian Geometry in an Orthogonal Frame
ISBN: 9789810247461 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Foreword by S S Chern
In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds. In this course he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational problems on geodesics. In 1960, Sergei P Finikov translated from French into Russian his notes of these Cartan's lectures and published them as a book entitled Riemannian Geometry in an Orthogonal Frame. This book has many innovations, such as... Foreword by S S Chern
In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensive... |
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422,22 |
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Physical and Numerical Models in Knot Theory: Including Applications to the Life Sciences
ISBN: 9789812561879 / Angielski / Twarda / 628 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special...
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties ha...
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cena:
1026,14 |
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Analytic Hyperbolic Geometry: Mathematical Foundations and Applications
ISBN: 9789812564573 / Angielski / Twarda / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativistic mechanics just as analytic Euclidean geometry regulates classical mechanics. The book presents a novel gyrovector space approach to analytic hyperbolic geometry, fully analogous to the well-known vector space approach to Euclidean geometry. A gyrovector is a hyperbolic vector. Gyrovectors are equivalence classes of directed gyrosegments that add according to the gyroparallelogram law just as vectors are equivalence classes of directed...
This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry. Analytic hyperbolic geometry regulates relativ...
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cena:
828,40 |
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Noncommutative Geometry and Physics - Proceedings of the Coe International Workshop
ISBN: 9789812564924 / Angielski / Twarda / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics. The contributions in this volume are based on papers presented at a workshop dedicated to enhancing international cooperation between mathematicians and physicists in various aspects of frontier research on noncommutative differential geometry. The active contributors present both the latest results and comprehensive reviews of topics in the area. The book is accessible to researchers and graduate students interested in a...
Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathemat...
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cena:
753,57 |
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Foliations 2005: Proceedings of the International Conference Lodz, Poland 13-24 June 2005
ISBN: 9789812700742 / Angielski / Twarda / 488 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume takes a look at the current state of the theory of foliations, with surveys and research articles concerning different aspects. The focused aspects cover geometry of foliated Riemannian manifolds, Riemannian foliations and dynamical properties of foliations and some aspects of classical dynamics related to the field. Among the articles readers may find a study of foliations which admit a transverse contractive flow, an extensive survey on non-commutative geometry of Riemannian foliations, an article on contact structures converging to foliations, as well as a few articles on...
This volume takes a look at the current state of the theory of foliations, with surveys and research articles concerning different aspects. The focuse...
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cena:
871,15 |
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L2-Invariants: Theory and Applications to Geometry and K-Theory
ISBN: 9783540435662 / Angielski / Twarda / 595 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make L2-invariants very...
In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group act...
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cena:
619,41 |
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Global Lorentzian Geometry, Second Edition
ISBN: 9780824793241 / Angielski / Twarda / 656 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem. special student price, available on request.
Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes n...
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cena:
2640,18 |
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Semi-Riemannian Geometry with Applications to Relativity: Volume 103
ISBN: 9780125267403 / Angielski / Twarda / 468 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been...
This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnishe...
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cena:
269,04 |
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Some Nonlinear Problems in Riemannian Geometry
ISBN: 9783540607526 / Angielski / Twarda / 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:
536,81 |
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q-Clan Geometries in Characteristic 2
ISBN: 9783764385071 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A q-clan with q a power of 2 is equivalent to a certain generalized quadrangle with a family of subquadrangles each associated with an oval in the Desarguesian plane of order 2. It is also equivalent to a flock of a quadratic cone, and hence to a line-spread of 3-dimensional projective space and thus to a translation plane, and more. These geometric objects are tied together by the so-called Fundamental Theorem of q-Clan Geometry. The book gives a complete proof of this theorem, followed by a detailed study of the known examples. The collineation groups of the associated generalized... A q-clan with q a power of 2 is equivalent to a certain generalized quadrangle with a family of subquadrangles each associated with an oval in the ... |
cena:
227,09 |
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Stochastic and Integral Geometry
ISBN: 9783540788584 / Angielski / Twarda / 694 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the... Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, a... |
cena:
578,11 |
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Spectral Geometry: Direct and Inverse Problems
ISBN: 9783540167884 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
227,09 |
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Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory
ISBN: 9783540584650 / Angielski / Miękka / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics. After reviewing real Finsler geometry stressing global results, complex Finsler geometry is presented introducing connections, Kahlerianity, geodesics, curvature. Finally global geometry and complex Monge-Ampere equations are discussed for Finsler manifolds with constant holomorphic curvature, which are important in geometric function theory. Following E. Cartan, S.S. Chern and S. Kobayashi, the...
Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to di...
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cena:
103,04 |
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Symmetry: A Journey Into the Patterns of Nature
ISBN: 9780060789411 / Angielski / Miękka / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Symmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry's elusive qualities. Symmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic rel... |
cena:
74,97 |
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Geometry IV: Non-Regular Riemannian Geometry
ISBN: 9783540547013 / Angielski / Twarda / 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:
412,92 |
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Analysis and Geometry on Groups
ISBN: 9780521088015 / Angielski / Miękka / 172 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups.
The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups.
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cena:
241,99 |
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Analytical Geometry
ISBN: 9789810231583 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of conics and quadrics, and geometric transformations. These subjects are important both for the mathematical grounding of the student and for applications to various other subjects. They may be studied in the first year or as a second course in geometry. The material is presented in a geometric way, and it aims to develop the geometric intuition and thinking of the student, as well as his ability to understand and give mathematical proofs. Linear...
This volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of...
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cena:
326,01 |
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Asymptotically Symmetric Einstein Metrics
ISBN: 9780821831663 / Angielski / Miękka / 105 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The correspondence between Einstein metrics and their conformal boundaries has been the focus of great interest. This book shows this correspondence in the wider context of asymptotically symmetric Einstein metrics, that is Einstein metrics whose curvature
The correspondence between Einstein metrics and their conformal boundaries has been the focus of great interest. This book shows this correspondence i...
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cena:
219,12 |
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Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations
ISBN: 9780817643546 / Angielski / Twarda / 278 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, Schrodinger's, Einstein's and Newton's equations, and others. Historically, problems in these areas were approached using the Fourier transform or path integrals, although in some cases, e.g., the case of quartic oscillators, these methods do not work. New geometric methods, which have the advantage of providing...
Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presen...
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cena:
350,98 |
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Complex Spaces in Finsler, Lagrange and Hamilton Geometries
ISBN: 9781402022050 / Angielski / Twarda / 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:
412,92 |
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