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The Theory of Cluster Sets
ISBN: 9780521604819 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has made great strides in recent years. The cluster set of a function at a particular point is the set of limit values of the function at that point which may be either a boundary point or (in the case of a non-analytic function) an interior point of the function's domain. In topological analysis, its main application is to problems arising in the theory of functions of a complex variable, with particular reference to boundary behaviour such as the theory of prime ends under conformal...
The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has made great strides in recent years. The cl...
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229,29 |
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Asymptotic Expansions
ISBN: 9780521604826 / Angielski / Miękka / 132 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical physics. Solutions of ordinary differential equations are frequently obtained in the form of a definite integral or contour integral, and this tract is concerned with the asymptotic representation of a function of a real or complex variable defined in this way. After a preliminary account of the...
Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable...
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cena:
243,04 |
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Completeness and Basis Properties of Sets of Special Functions
ISBN: 9780521604888 / Angielski / Miękka / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This tract presents an exposition of methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. The first chapter contains the theoretical background to the subject, largely in a general Hilbert space setting, and theorems in which the structure of Hilbert space is revealed by properties of its bases are dealt with. Later parts of the book deal with methods: for example, the Vitali criterion, together with its generalisations and applications, is discussed in some detail, and there is an introduction to the theory of stability of bases....
This tract presents an exposition of methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. ...
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cena:
229,29 |
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Orthogonal Rational Functions
ISBN: 9780521650069 / Angielski / Twarda / 424 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume generalizes the classical theory of orthogonal polynomials on the complex unit circle or on the real line to orthogonal rational functions whose poles are among a prescribed set of complex numbers. The first part treats the case where these poles are all outside the unit disk or in the lower half plane. Classical topics such as recurrence relations, numerical quadrature, interpolation properties, Favard theorems, convergence, asymptotics, and moment problems are generalized and treated in detail. The same topics are discussed for a different situation where the poles are located...
This volume generalizes the classical theory of orthogonal polynomials on the complex unit circle or on the real line to orthogonal rational functions...
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cena:
609,49 |
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Singularity Theory: Proceedings of the European Singularities Conference, August 1996, Liverpool and Dedicated to C.T.C. Wall on the Occas
ISBN: 9780521658881 / Angielski / Miękka / 468 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Singularity theory draws on many other areas of mathematics and, in turn, contributes to many areas both within and outside mathematics, including differential and algebraic geometry, knot theory, differential equations, bifurcation theory, Hamiltonian mechanics, optics, robotics and computer vision. This volume consists of two dozen articles from some of the best known figures in singularity theory, and it presents an up-to-date survey of research in this area.
Singularity theory draws on many other areas of mathematics and, in turn, contributes to many areas both within and outside mathematics, including dif...
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cena:
317,17 |
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Holomorphic Dynamics
ISBN: 9780521662581 / Angielski / Twarda / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is a comprehensive introduction to holomorphic dynamics, that is, the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, for example, with the discovery of the Mandelbrot set, and work on chaotic behavior of quadratic maps. The mathematically unified treatment emphasizes the substantial role of classical complex analysis in understanding holomorphic dynamics and offers up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of...
Here is a comprehensive introduction to holomorphic dynamics, that is, the dynamics induced by the iteration of various analytic maps in complex numbe...
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cena:
628,06 |
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An Introduction to Harmonic Analysis on Semisimple Lie Groups
ISBN: 9780521663625 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Now in paperback, this graduate-level textbook is an excellent introduction to the representation theory of semi-simple Lie groups. Professor Varadarajan emphasizes the development of central themes in the context of special examples. He begins with an account of compact groups and discusses the Harish-Chandra modules of SL(2, R) and SL(2, C). Subsequent chapters introduce the Plancherel formula and Schwartz spaces, and show how these lead to the Harish-Chandra theory of Eisenstein integrals. The final sections consider the irreducible characters of semi-simple Lie groups, and include...
Now in paperback, this graduate-level textbook is an excellent introduction to the representation theory of semi-simple Lie groups. Professor Varadara...
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cena:
345,02 |
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Soliton Equations and Their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models
ISBN: 9780521753074 / Angielski / Twarda / 518 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is about algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions; also known as soliton equations. Explicitly treated integrable models include the KdV, AKNS, sine-Gordon, and Camassa-Holm hierarchies as well as the classical massive Thirring system. An extensive treatment of the class of algebro-geometric solutions in the stationary and time-dependent contexts is provided. The formalism presented includes trace formulas, Dubrovin-type initial value problems, Baker-Akhiezer functions, and theta function representations of all...
This book is about algebro-geometric solutions of completely integrable nonlinear partial differential equations in (1+1)-dimensions; also known as so...
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cena:
688,37 |
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Geometric Approaches to Differential Equations
ISBN: 9780521775984 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is a concise and accessible exposition of a wide range of topics in geometric approaches to differential equations. The authors present an overview of this developing subject and introduce a number of related topics, including twistor theory, vortex filament dynamics, calculus of variations, exterior differential systems and Backlund transformations. The book is an ideal starting point for graduate students embarking on research.
Here is a concise and accessible exposition of a wide range of topics in geometric approaches to differential equations. The authors present an overvi...
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cena:
252,22 |
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Descriptive Set Theory and Dynamical Systems
ISBN: 9780521786447 / Angielski / Miękka / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This collection of survey papers by leading researchers covers a wide variety of recent developments in these subjects and their interconnections. Researchers and graduate students interested in either of these areas will find this volume to be an excellent introduction to problems and research directions arising from their interconnections.
In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical sy...
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cena:
358,93 |
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Global Attractors in Abstract Parabolic Problems
ISBN: 9780521794244 / Angielski / Miękka / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The study of dissipative equations has attracted substantial attention over many years. Much progress has been achieved using a combination of both finite dimensional and infinite dimensional techniques. In this book the authors exploit these same ideas to investigate the asymptotic behavior of dynamical systems corresponding to parabolic equations. In particular they present the theory of global attractors in detail. Extensive auxiliary material and rich references make this self-contained book a suitable introduction for graduate students.
The study of dissipative equations has attracted substantial attention over many years. Much progress has been achieved using a combination of both fi...
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cena:
298,62 |
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Deterministic Observation Theory and Applications
ISBN: 9780521805933 / Angielski / Twarda / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work presents a general theory as well as constructive methodology in order to solve "observation problems," namely, those problems that pertain to reconstructing the full information about a dynamical process on the basis of partial observed data. A general methodology to control processes on the basis of the observations is also developed. Illustrative but practical applications in the chemical and petroleum industries are shown.
This work presents a general theory as well as constructive methodology in order to solve "observation problems," namely, those problems that pertain ...
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cena:
535,26 |
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Inside Out: Inverse Problems and Applications
ISBN: 9780521824699 / Angielski / Twarda / 414 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There have been substantial developments in the mathematical theory of inverse problems over the last twenty years and applications have expanded greatly in medical imaging, geophysical exploration, and non-destructive evaluation. In this book, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in the field, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms.
There have been substantial developments in the mathematical theory of inverse problems over the last twenty years and applications have expanded grea...
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cena:
628,06 |
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The Mountain Pass Theorem: Variants, Generalizations and Some Applications
ISBN: 9780521827218 / Angielski / Twarda / 382 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Joussef Jabri presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. Jabri clarifies the extensions and variants of the MPT in a complete and unified way and covers standard topics: the classical and dual MPT; second-order information from PS sequences; symmetry and topological index theory; perturbations from symmetry; convexity and more. He also covers the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. A bibliography and...
Joussef Jabri presents min-max methods through a comprehensive study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosett...
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cena:
628,06 |
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Topics from One-Dimensional Dynamics
ISBN: 9780521838962 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One-dimensional dynamics has generated many results, and avenues of active mathematical research with numerous inroads to this research remain to be pursued by the advanced undergraduate or beginning graduate student. While much of the material in this book is not covered elsewhere, some aspects present new research topics whose connections are drawn to other research areas from the text. Although the material presented is not meant to be approached in a linear fashion, anybody with an interest in dynamics will find many topics of interest.
One-dimensional dynamics has generated many results, and avenues of active mathematical research with numerous inroads to this research remain to be p...
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cena:
549,17 |
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Statistical Mechanics of Disordered Systems: A Mathematical Perspective
ISBN: 9780521849913 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical...
This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the fiel...
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cena:
382,14 |
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Markov Processes, Gaussian Processes, and Local Times
ISBN: 9780521863001 / Angielski / Twarda / 632 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Written by two foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate them to certain associated Gaussian processes. It builds to this material through self-contained but harmonized 'mini-courses' on the relevant ingredients, which assume only knowledge of measure-theoretic probability. The streamlined selection of topics creates an easy entrance for students and for experts in related fields. The book starts by developing the fundamentals of Markov process theory and then of Gaussian process theory, including...
Written by two foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate ...
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cena:
442,46 |
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Random Fragmentation and Coagulation Processes
ISBN: 9780521867283 / Angielski / Twarda / 290 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Fragmentation and coagulation are two natural phenomena that can be observed in many sciences and at a great variety of scales - from, for example, DNA fragmentation to formation of planets by accretion. This book, by the author of the acclaimed Levy Processes, is the first comprehensive theoretical account of mathematical models for situations where either phenomenon occurs randomly and repeatedly as time passes. This self-contained treatment develops the models in a way that makes recent developments in the field accessible. Each chapter ends with a comments section in which important...
Fragmentation and coagulation are two natural phenomena that can be observed in many sciences and at a great variety of scales - from, for example, DN...
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cena:
372,86 |
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Percolation
ISBN: 9780521872324 / Angielski / Twarda / 334 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book, first published in 2006, are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the...
Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a di...
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cena:
368,21 |
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Filtering and System Identification: A Least Squares Approach
ISBN: 9780521875127 / Angielski / Twarda / 422 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Filtering and system identification are powerful techniques for building models of complex systems. This 2007 book discusses the design of reliable numerical methods to retrieve missing information in models derived using these techniques. Emphasis is on the least squares approach as applied to the linear state-space model, and problems of increasing complexity are analyzed and solved within this framework, starting with the Kalman filter and concluding with the estimation of a full model, noise statistics and state estimator directly from the data. Key background topics, including linear...
Filtering and system identification are powerful techniques for building models of complex systems. This 2007 book discusses the design of reliable nu...
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cena:
655,89 |
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