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Geometric Methods and Optimization Problems
ISBN: 9780792354543 / Angielski / Twarda / 432 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob- vious and well-known (examples are the much discussed interplay between lin- ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from applied mathematics seem to prefer more formal analytical and numerical methods and representations. Nevertheless, very often the internal...
VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and...
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1097,02 zł |
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Geometric Aspects of Probability Theory and Mathematical Statistics
ISBN: 9780792364139 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It is well known that contemporary mathematics includes many disci plines. Among them the most important are: set theory, algebra, topology, geometry, functional analysis, probability theory, the theory of differential equations and some others. Furthermore, every mathematical discipline consists of several large sections in which specific problems are investigated and the corresponding technique is developed. For example, in general topology we have the following extensive chap ters: the theory of compact extensions of topological spaces, the theory of continuous mappings, cardinal-valued...
It is well known that contemporary mathematics includes many disci plines. Among them the most important are: set theory, algebra, topology, geometry,...
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391,77 zł |
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The Isomorphism Problem in Coxeter Groups
ISBN: 9781860945540 / Angielski / Twarda / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups. It is self-contained, and accessible even to advanced undergraduate students of mathematics.The primary purpose of the book is to highlight approximations to the difficult isomorphism problem in Coxeter groups. A number of theorems relating to this problem are stated and proven. Most of the results addressed here concern conditions which can be seen as varying degrees of uniqueness of representations of Coxeter groups. Throughout the...
The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxe...
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cena:
410,04 zł |
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Stochastic Geometry: Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy, September 13-18, 2004
ISBN: 9783540381747 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in almost all natural sciences or technical fields. Although its roots can be traced back to the 18th century (the Buffon needle problem), the modern theory of random sets was founded by D. Kendall and G. Matheron in the early 1970's. Its rapid development was influenced by applications in Spatial Statistics and by its close connections to Integral Geometry. The volume "Stochastic Geometry" contains the lectures given at the CIME summer... Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in ... |
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176,12 zł |
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Fundamentals of Convex Analysis
ISBN: 9783540422051 / Angielski / Miękka / 259 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms 18], about which we have received very positive feedback from users, readers, lecturers ever since it was published - by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material. Now 18] hasa dual but clearly defined nature: - an introduction to the basic concepts in convex analysis, - a study of convex minimization problems (with an emphasis on numerical al- rithms), and insists on their mutual...
This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms 18], about which we have received very positive f...
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cena:
254,64 zł |
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Infinite Matrices and the Gliding Hump, Matrix Methods in Analysis
ISBN: 9789810227364 / Angielski / Twarda / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These notes present a theorem on infinite matrices with values in a topological group due to P. Antosik and J. Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinki, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which,...
These notes present a theorem on infinite matrices with values in a topological group due to P. Antosik and J. Mikusinski. Using the matrix theorem an...
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cena:
325,92 zł |
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Mathematical Methods for Systems Theory
ISBN: 9789810233341 / Angielski / Twarda / 576 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book covers topics such as geometry, algebra, calculus and probability theory. It can be used as a first course in system theory for engineering and applied mathematics students. It is the first book to provide a self-contained and precise account of all the major mathematical methods and concepts relevant to the study of system theory.
This book covers topics such as geometry, algebra, calculus and probability theory. It can be used as a first course in system theory for engineering ...
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cena:
588,77 zł |
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Knots in Hellas '98 - Proceedings of the International Conference on Knot Theory and Its Ramifications
ISBN: 9789810243401 / Angielski / Twarda / 580 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon-Luecke work on surgeries on knots, Jones' work on invariants of links in S3, and advances in the theory of invariants of 3-manifolds based on Jones- and Vassiliev-type invariants of links. Jones ideas and Thurston's idea are connected by the following path: hyperbolic structures, PSL(2, C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman,...
There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds ...
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cena:
930,46 zł |
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Hyperbolic Manifolds and Holomorphic Mappings: An Introduction (Second Edition)
ISBN: 9789812564962 / Angielski / Twarda / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections "invariant metrics and pseudo-distances" and "hyperbolic complex manifolds" within the section "holomorphic mappings." The invariant distance introduced in the first edition is now called the "Kobayashi distance," and the hyperbolicity in the sense of this book is called the "Kobayashi hyperbolicity" to...
The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The lar...
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cena:
241,82 zł |
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Invariant Algebras and Geometric Reasoning
ISBN: 9789812708083 / Angielski / Twarda / 532 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics — among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries.This book contains the author and his collaborators' most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras...
The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathem...
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cena:
851,60 zł |
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Realization Spaces of Polytopes
ISBN: 9783540620846 / Angielski / Miękka / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes." It is a comprehensive survey of the important results that have been obtained in that direction. The approaches chosen are direct and very geometric in nature. The book is addressed to researchers and to graduate students. The former will find a comprehensive source for the above mentioned results. The latter will find a readable introduction to the field. The reader is assumed to be familiar with basic concepts of linear algebra.
The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes." It is...
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cena:
117,35 zł |
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Markov Set-Chains
ISBN: 9783540647751 / Angielski / Miękka / 132 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this study extending classical Markov chain theory to handle fluctuating transition matrices, the author develops a theory of Markov set-chains and provides numerous examples showing how that theory can be applied. Chapters are concluded with a discussion of related research. Readers who can benefit from this monograph are those interested in, or involved with, systems whose data is imprecise or that fluctuate with time. A background equivalent to a course in linear algebra and one in probability theory should be sufficient.
In this study extending classical Markov chain theory to handle fluctuating transition matrices, the author develops a theory of Markov set-chains and...
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cena:
105,59 zł |
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Discrete and Computational Geometry: Japanese Conference, Jcdcg'98 Tokyo, Japan, December 9-12, 1998 Revised Papers
ISBN: 9783540671817 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume consists of those papers presented at the Japan Conference on Discrete and Computational Geometry 98. The conference was held 9-12 - cember 1998 at Tokai University in Tokyo. Close to a hundred participants from 10 countries participated. Interest in Computational Geometry surfaced among engineers in Japan - out twenty years ago, while interest in Discrete Geometry arose as a natural extension of the research of a group of graph theorists more recently. One of the goals of the conference was to bring together these two groups and to put them in contact with experts in these ?elds...
This volume consists of those papers presented at the Japan Conference on Discrete and Computational Geometry 98. The conference was held 9-12 - cembe...
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cena:
195,87 zł |
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Loop Groups
ISBN: 9780198535355 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Loop groups, the simplest class of infinite dimensional Lie groups, have recently been the subject of intense study. This book gives a complete and self-contained account of what is known about them from a geometrical and analytical point of view, drawing together the many branches of mathematics from which current theory developed--algebra, geometry, analysis, combinatorics, and the mathematics of quantum field theory. The authors discuss Loop groups' applications to simple particle physics and explain how the mathematics used in connection with Loop groups is itself interesting and...
Loop groups, the simplest class of infinite dimensional Lie groups, have recently been the subject of intense study. This book gives a complete and se...
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cena:
255,26 zł |
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Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants
ISBN: 9789810244439 / Angielski / Twarda / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A study of functorial knot theory. It discusses the key ideas in the discovery of monoidal categories of tangles as central objects in low-dimensional topology. The focus then turns to the deformation theory of monoidal categories and the related deformati
A study of functorial knot theory. It discusses the key ideas in the discovery of monoidal categories of tangles as central objects in low-dimensional...
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cena:
473,12 zł |
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Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry
ISBN: 9783540709961 / Angielski / Twarda / 831 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of visually appealing unsolved (or recently solved) problems that require the creation of concepts and tools of varying abstraction. Starting with such natural, classical objects as lines, planes, circles, spheres, polygons, polyhedra, curves,... Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of ... |
cena:
234,89 zł |
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Restricted-Orientation Convexity
ISBN: 9783540668152 / Angielski / Twarda / 102 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. We explore the properties of this generalized convexity in multidimensional Euclidean space, describes restricted-orientation analogs of lines, hyperplanes, flats, and halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. We then introduce the notion of strong restricted-orientation convexity, which is an... Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion ge... |
cena:
195,87 zł |
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Linear and Integer Programming Vs Linear Integration and Counting: A Duality Viewpoint
ISBN: 9780387094137 / Niemiecki / Twarda / 168 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Integer programming (IP) is a fascinating topic. Indeed, while linear programming (LP), its c- tinuous analogue, is well understood and extremely ef?cient LP software packages exist, solving an integer program can remain a formidable challenge, even for some small size problems. For instance, the following small (5-variable) IP problem (called the unbounded knapsack problem) min{213x?1928x?11111x?2345x +9123x} 1 2 3 4 5 s.t. 12223x +12224x +36674x +61119x +85569x = 89643482, 1 2 3 4 5 x, x, x, x, x?N, 1 2 3 4 5 taken from a list of dif?cult knapsack problems in Aardal and Lenstra 2], is not...
Integer programming (IP) is a fascinating topic. Indeed, while linear programming (LP), its c- tinuous analogue, is well understood and extremely ef?c...
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cena:
391,77 zł |
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Handbook of Metric Fixed Point Theory
ISBN: 9780792370734 / Angielski / Twarda / 704 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces.
Because most of the spaces... Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a f...
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cena:
587,67 zł |
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Complex Convexity and Analytic Functionals
ISBN: 9783764324209 / Angielski / Twarda / 164 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A set in complex Euclidean space is called C-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates between ordinary geometric convexity and pseudoconvexity. Their importance was first manifested in the pioneering work of Andre Martineau from about forty years ago. Since then a large number of new related results have been obtained by many different mathematicians. The present book puts the modern theory of complex linear convexity on a... A set in complex Euclidean space is called C-convex if all its intersections with complex lines are contractible, and it is said t... |
cena:
195,87 zł |
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