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Generators and Relations in Groups and Geometries
ISBN: 9789401054966 / Angielski / Miękka / 447 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators and relations which can be used to detect the structure of a group. Nevertheless, results in the indicated direction exist. The clue is to ask the right question. Classical geometry is a typical example in which the factorization of a motion into reflections or, more generally, of a collineation into central collineations, supplies valuable information on the geometric and algebraic structure. This mode of investigation has gained momentum since...
Every group is represented in many ways as an epimorphic image of a free group. It seems therefore futile to search for methods involving generators a...
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771,08 zł |
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Smooth Quasigroups and Loops
ISBN: 9789401059213 / Angielski / Miękka / 249 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the last twenty-five years quite remarkable relations between nonas- sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces. The notion ofodule was introduced as a fundamental algebraic invariant of differential geometry. For any space with an affine connection loopuscular, odular and geoodular structures (partial smooth algebras of a special kind) were introduced and studied. As it happened, the natural geoodular structure...
During the last twenty-five years quite remarkable relations between nonas- sociative algebra and differential geometry have been discovered in our wo...
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192,74 zł |
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Hamiltonian Mechanical Systems and Geometric Quantization
ISBN: 9789401048804 / Angielski / Miękka / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is a revised and updated version of the lectures given by the author at the University of Timi oara during the academic year 1990-1991. Its goal is to present in detail someold and new aspects ofthe geometry ofsymplectic and Poisson manifolds and to point out some of their applications in Hamiltonian mechanics and geometric quantization. The material is organized as follows. In Chapter 1 we collect some general facts about symplectic vector spaces, symplectic manifolds and symplectic reduction. Chapter 2 deals with the study ofHamiltonian mechanics. We present here the gen- eral...
The book is a revised and updated version of the lectures given by the author at the University of Timi oara during the academic year 1990-1991. Its g...
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192,74 zł |
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Finslerian Geometries: A Meeting of Minds
ISBN: 9789401058384 / Angielski / Miękka / 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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385,52 zł |
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Analysis: Grundlagen, Differentiation, Integrationstheorie, Differentialgleichungen, Variationsmethoden
ISBN: 9783642415067 / Niemiecki / Miękka / 512 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Das Buch bietet eine moderne Darstellung der Differential- und Integralrechnung fur Funktionen in einer und mehreren reellen Veranderlichen sowie in einer komplexen Variablen. Die elementaren Funktionen werden uber komplexe Potenzreihen definiert und die Logarithmusfunktion auf ihrer Riemannschen Flache betrachtet. Nachdem die eindimensionale Integration mittels reeller und komplexer Stammfunktionen durchgefuhrt ist, wird uber das uneigentliche n-dimensionale Riemannsche Integral die Integration auf Mannigfaltigkeiten mit Hilfe von Differentialformen vorgestellt. Mit dem Lebesgueschen... Das Buch bietet eine moderne Darstellung der Differential- und Integralrechnung fur Funktionen in einer und mehreren reellen Veranderlichen sowie i... |
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126,07 zł |
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Manifolds and Modular Forms
ISBN: 9783528064143 / Niemiecki / Twarda / 211 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms." Iwanted to develop the theory of "Elliptic Genera" and to leam it myself on this occasion. This theory due to Ochanine, Landweber, Stong and others was relatively new at the time. The word "genus" is meant in the sense of my book "Neue Topologische Methoden in der Algebraischen Geometrie" published in 1956: A genus is a homomorphism of the Thom cobordism ring of oriented compact manifolds into the complex numbers. Fundamental examples are the signature and the A-genus. The...
During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms." Iwanted to develop the theory ...
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cena:
270,20 zł |
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Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data
ISBN: 9783642543005 / Angielski / Twarda / 343 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties. Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensor fields in engineering, discusses the current state of the art and challenges, and examines tensor invariants and glyph design,... Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (20... |
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578,30 zł |
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Progress in Mathematical Relativity, Gravitation and Cosmology: Proceedings of the Spanish Relativity Meeting Ere2012, University of Minho, Guimarães,
ISBN: 9783642401565 / Angielski / Twarda / 485 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held in Guimaraes, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, from mathematical cosmology, numerical relativity and black holes to string theory and quantum gravity. Under the title "Progress in Mathematical Relativity, Gravitation and Cosmology," ERE 2012 was attended by an exceptional international list of over a hundred participants from the five continents and over forty countries. ERE is organized every year by one of... This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held in Guimaraes, Portugal, September 2012. It features mor... |
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578,30 zł |
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Affine Differentialgeometrie
ISBN: 9783110989755 / Niemiecki / Twarda / 204 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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473,79 zł |
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Smooth Nonlinear Optimization in RN
ISBN: 9781461379201 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Experience gained during a ten-year long involvement in modelling, program- ming and application in nonlinear optimization helped me to arrive at the conclusion that in the interest of having successful applications and efficient software production, knowing the structure of the problem to be solved is in- dispensable. This is the reason why I have chosen the field in question as the sphere of my research. Since in applications, mainly from among the nonconvex optimization models, the differentiable ones proved to be the most efficient in modelling, especially in solving them with computers,...
Experience gained during a ten-year long involvement in modelling, program- ming and application in nonlinear optimization helped me to arrive at the ...
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848,19 zł |
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Geometric Optimal Control: Theory, Methods and Examples
ISBN: 9781489986801 / Angielski / Miękka / 640 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structure of solutions for the underlying problem. The text includes a large number and variety of fully worked out examples that range from the...
This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic,...
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327,68 zł |
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Gesammelte Mathematische Werke, Wissenschaftlicher Nachlass Und Nachträge - Collected Papers: Nach Der Ausgabe Von Heinrich Weber Und Richard Dedekind
ISBN: 9783642553929 / Niemiecki / Miękka / 911 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Bernhard Riemanns Werk hat bis heute wesentlichen Einfluss auf die Entwicklung der Mathematik genommen. Seine Ideen sind uberraschend modern und pragen die heutige mathematische Forschung. Die Gesammelten Abhandlungen (1892) samt Supplement von 1902 waren seit langer Zeit vergriffen. R. Narasimhan hat die muhevolle Edition dieser Neuausgabe ubernommen. Es konnen nur einige Hohepunkte genannt werden: - H. Weils Kommentare uber Riemanns Habilitationsschrift - C.L. Siegel uber Riemanns Nachlass zur analytischen Zahlentheorie - W. Wirtingers beruhmter Vortrag beim internationalen...
Bernhard Riemanns Werk hat bis heute wesentlichen Einfluss auf die Entwicklung der Mathematik genommen. Seine Ideen sind uberraschend modern und prage...
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216,18 zł |
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Differential Geometric Methods in Theoretical Physics: Physics and Geometry
ISBN: 9781468491500 / Angielski / Miękka / 830 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit- ful again. Many of the leading specialists of both fields became involved in this devel- opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im-...
After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently bec...
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578,30 zł |
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An Introduction to Noncommutative Spaces and Their Geometries
ISBN: 9783662141090 / Angielski / Miękka / 207 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some 'virtual noncommutative space'. Attention is switched from spaces, which in general do not even exist, to algebras of functions. In these notes, particular emphasis is put on seeing noncommutative spaces as concrete spaces, namely as a collection of points with a topology. The necessary mathematical tools are presented in a systematic and accessible way and include...
These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but...
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424,07 zł |
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Mathematical Analysis of Problems in the Natural Sciences
ISBN: 9783642430046 / Angielski / Miękka / 133 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Based on a two-semester course aimed at illustrating various interactions of "pure mathematics" with other sciences, such as hydrodynamics, thermodynamics, statistical physics and information theory, this text unifies three general topics of analysis and physics, which are as follows: the dimensional analysis of physical quantities, which contains various applications including Kolmogorov's model for turbulence; functions of very large number of variables and the principle of concentration along with the non-linear law of large numbers, the geometric meaning of the Gauss and Maxwell ...
Based on a two-semester course aimed at illustrating various interactions of "pure mathematics" with other sciences, such as hydrodynamics, thermodyna...
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212,02 zł |
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The Geometry of Vector Fields (Routledge Revivals)
ISBN: 9780415706865 / Angielski / Miękka / 172 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields, describing vector fields in three-dimensional Euclidean space, triply-orthogonal systems and applications in mechanics. Topics covered include Pfaffian forms, systems in n-dimensional space, and foliations and their Godbillion-Vey invariant. There is much interest in the study of geometrical objects in n-dimensional Euclidean space and this volume provides a useful and comprehensive presentation.
This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields, describing ve...
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176,31 zł |
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Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools
ISBN: 9781493900442 / Angielski / Miękka / 334 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems-including for example the hydrogen atom or the solar system, with the associated Arnold web-through modern tools such as the frequency modified fourier transform, wavelets, and the frequency modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems.... This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian syst... |
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192,74 zł |
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Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
ISBN: 9783642448188 / Angielski / Miękka / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a comprehensive exposition of tensor analysis. It presents modern developments in the theory of isotropic and anisotropic tensor functions and includes numerous exercises with solutions.
This book provides a comprehensive exposition of tensor analysis. It presents modern developments in the theory of isotropic and anisotropic tensor fu...
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270,20 zł |
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Recent Trends in Lorentzian Geometry
ISBN: 9781489996831 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classified, new applications to mathematical relativity and high energy physics have been found, and further connections with other geometries have been developed.
Samples of these fresh... Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric ... |
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578,30 zł |
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Geometry of Semilinear Embeddings: Relations to Graphs and Codes
ISBN: 9789814651073 / Angielski / Twarda / 180 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians.
This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians.
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cena:
404,59 zł |
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