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The Statistical Dynamics of Turbulence
ISBN: 9783642057939 / Angielski / Miękka / 141 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This short but complicated book is very demanding of any reader. The scope and style employed preserve the nature of its subject: the turbulence phe- nomena in gas and liquid flows which are believed to occur at sufficiently high Reynolds numbers. Since at first glance the field of interest is chaotic, time-dependent and three-dimensional, spread over a wide range of scales, sta- tistical treatment is convenient rather than a description of fine details which are not of importance in the first place. When coupled to the basic conserva- tion laws of fluid flow, such treatment, however, leads...
This short but complicated book is very demanding of any reader. The scope and style employed preserve the nature of its subject: the turbulence phe- ...
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Dynamics and Bifurcations of Non-Smooth Mechanical Systems
ISBN: 9783642060298 / Angielski / Miękka / 236 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics. This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-s... |
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Regular and Chaotic Oscillations
ISBN: 9783642074233 / Angielski / Miękka / 397 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text maps out the modern theory of non-linear oscillations. The material is presented in a non-traditional manner and emphasises the new results of the theory - obtained partially by the author, who is one of the leading experts in the area. Among the topics are: synchronization and chaotization of self-oscillatory systems and the influence of weak random vibration on modification of characteristics and behaviour of the non-linear systems. This text maps out the modern theory of non-linear oscillations. The material is presented in a non-traditional manner and emphasises the new resul... |
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Rigidity in Dynamics and Geometry: Contributions from the Programme Ergodic Theory, Geometric Rigidity and Number Theory, Isaac Newton Institute for t
ISBN: 9783642077517 / Angielski / Miękka / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan- uary until July, 2000. Beside the activities during the semester, there were workshops held in January, March and July, the first being of introductory nature with five short courses delivered over a week. Although the quality of the workshops was excellent throughout the semester, the idea of these proceedings came about during the March workshop, which is hence more...
This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Ne...
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Order and Chaos in Dynamical Astronomy
ISBN: 9783642077708 / Angielski / Miękka / 624 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There have been many books on Dynamical Astronomy up to now. Many are devoted to Celestial Mechanics, but there are also several books on Stellar and Galactic Dynamics. The first books on stellar dynamics dealt mainly with the statistics of stellar motions (e. g. Smart's "Stellar Dynamics" (1938), or Trumpler and Weaver's "Statistical Astronomy" (1953)). A classical book in this field is Chandrasekhar's "Principles of Stellar Dynamics" (1942) that dealt mainly with the time of relaxation, the solutions of Liouville's equation, and the dynamics of clusters. In the Dover edition of this book...
There have been many books on Dynamical Astronomy up to now. Many are devoted to Celestial Mechanics, but there are also several books on Stellar and ...
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Dynamics of Dissipation
ISBN: 9783642079078 / Angielski / Miękka / 516 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present volume contains expanded and substantially reworked records of invitedlecturesdeliveredduringthe38thKarpaczWinterSchoolofTheoretical Physics on Dynamical Semigroups: Dissipation, Chaos, Quanta, which took placeinLadek, Zdr oj, (Poland)intheperiod6 15February2002. Themainpurposeoftheschoolwastocreateaplatformfortheconfrontation ofviewpointsandresearchmethodologiesrepresentedbytwogroupsofexperts actually working in the very same area of theoretical physics. This situation is quite distinct in non-equilibrium statistical physics of open systems, where...
The present volume contains expanded and substantially reworked records of invitedlecturesdeliveredduringthe38thKarpaczWinterSchoolofTheoretical Physi...
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Solving Frontier Problems of Physics: The Decomposition Method
ISBN: 9789048143528 / Angielski / Miękka / 354 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems.
This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more... The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without ...
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Multigrid Methods for Finite Elements
ISBN: 9789048145065 / Angielski / Miękka / 334 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention...
Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical lev...
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805,10 |
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Opial Inequalities with Applications in Differential and Difference Equations
ISBN: 9789048145249 / Angielski / Miękka / 398 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial-type inequalities. The book presents a complete survey of results in the field, starting with Opial's landmark paper, traversing through its generalizations, extensions and discretizations. Some of the important applications of these inequalities in the theory of differential and difference equations, such as uniqueness of solutions of boundary value problems, and upper bounds...
In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume...
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Nonlinear Oscillations and Waves in Dynamical Systems
ISBN: 9789048146703 / Angielski / Miękka / 544 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is an up-to-date treatment of the theory of nonlinear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified point of view. Also, the relation between the theory of oscillations and waves, nonlinear dynamics and synergetics is discussed. One of the purposes of this book is to convince readers of the necessity of a thorough study of the theory of oscillations and waves, and to show that such popular branches of science as nonlinear dynamics, and synergetic soliton theory, for...
This volume is an up-to-date treatment of the theory of nonlinear oscillations and waves. Oscillatory and wave processes in the systems of diversified...
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Unimodality of Probability Measures
ISBN: 9789048147694 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Labor omnia vincit improbus. VIRGIL, Georgica I, 144-145. In the first part of his Theoria combinationis observationum erroribus min- imis obnoxiae, published in 1821, Carl Friedrich Gauss [Gau80, p.10] deduces a Chebyshev-type inequality for a probability density function, when it only has the property that its value always decreases, or at least does l not increase, if the absolute value of x increases . One may therefore conjecture that Gauss is one of the first scientists to use the property of 'single-humpedness' of a probability density function in a meaningful probabilistic context....
Labor omnia vincit improbus. VIRGIL, Georgica I, 144-145. In the first part of his Theoria combinationis observationum erroribus min- imis obnoxiae, p...
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Differential and Difference Dimension Polynomials
ISBN: 9789048151417 / Angielski / Miękka / 422 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is the first monograph wholly devoted to the investigation of differential and difference dimension theory. The differential dimension polynomial describes in exact terms the degree of freedom of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations. Difference algebra arises from the study of algebraic difference equations and therefore bears a considerable resemblance to its differential counterpart. Difference algebra was developed in the same period as differential algebra and it has the same... This book is the first monograph wholly devoted to the investigation of differential and difference dimension theory. The differential dimension po... |
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Introduction to the Theory and Applications of Functional Differential Equations
ISBN: 9789048151486 / Angielski / Miękka / 648 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, optimal control and estimation, the theory of linear equations, and basic principles of mathematical modelling. The work, which treats many concrete problems in detail, gives a good overview of the entire field and will serve as a stimulating guide to further research. Audience: This volume will be of interest to researchers and (post)graduate students...
This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stocha...
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Differentiable and Complex Dynamics of Several Variables
ISBN: 9789048152469 / Angielski / Miękka / 342 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a comprehensive and up-to-date survey on dynamics and related topics, such as Fatou-Julia type theory, the Ergodic theorem and invariant sets, hyperbolicity in differentiable or complex dynamics, iterant ion theory on Pm, complex dynamics in Cm and the foundations of differentiable and complex dynamics. The main aims of this volume are, firstly, to advance the study of the above-named topics and to establish the corresponding Fatou-Julia results for complex manifolds, and, secondly, to provide some advanced account of dynamical systems within the framework of geometry and...
This book gives a comprehensive and up-to-date survey on dynamics and related topics, such as Fatou-Julia type theory, the Ergodic theorem and invaria...
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The FitzHugh-Nagumo Model: Bifurcation and Dynamics
ISBN: 9789048155125 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present monograph analyses the FitzHugh-Nagumo (F-N) model Le., the Cauchy problem for some generalized Van der Pol equation depending on three real parameters a, band c. This model, given in (1. 1. 17), governs the initiation of the cardiac impulse. The presence of the three parameters leads to a large variety of dy namics, each of them responsible for a specific functioning of the heart. For physiologists it is highly desirable to have aglobai view of all possible qualitatively distinct responses of the F-N model for all values of the pa rameters. This reduces to the knowledge of the...
The present monograph analyses the FitzHugh-Nagumo (F-N) model Le., the Cauchy problem for some generalized Van der Pol equation depending on three re...
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Optimality Conditions: Abnormal and Degenerate Problems
ISBN: 9789048155965 / Angielski / Miękka / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is devoted to one of the main questions of the theory of extremal prob lems, namely, to necessary and sufficient extremality conditions. It is intended mostly for mathematicians and also for all those who are interested in optimiza tion problems. The book may be useful for advanced students, post-graduated students, and researchers. The book consists of four chapters. In Chap. 1 we study the abstract minimization problem with constraints, which is often called the mathemati cal programming problem. Chapter 2 is devoted to one of the most important classes of extremal problems, the...
This book is devoted to one of the main questions of the theory of extremal prob lems, namely, to necessary and sufficient extremality conditions. It ...
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Differential Geometry of Spray and Finsler Spaces
ISBN: 9789048156733 / Angielski / Miękka / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a comprehensive report of recent developments in Finsler geometry and Spray geometry. Riemannian geometry and pseudo-Riemannian geometry are treated as the special case of Finsler geometry. The geometric methods developed in this subject are useful for studying some problems arising from biology, physics, and other fields. Audience: The book will be of interest to graduate students and mathematicians in geometry who wish to go beyond the Riemannian world. Scientists in nature sciences will find the geometric methods presented useful.
This book is a comprehensive report of recent developments in Finsler geometry and Spray geometry. Riemannian geometry and pseudo-Riemannian geometry ...
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Semigroups in Geometrical Function Theory
ISBN: 9789048157471 / Angielski / Miękka / 222 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Historically, complex analysis and geometrical function theory have been inten sively developed from the beginning of the twentieth century. They provide the foundations for broad areas of mathematics. In the last fifty years the theory of holomorphic mappings on complex spaces has been studied by many mathemati cians with many applications to nonlinear analysis, functional analysis, differential equations, classical and quantum mechanics. The laws of dynamics are usually presented as equations of motion which are written in the abstract form of a dy namical system: dx / dt + f ( x) = 0,...
Historically, complex analysis and geometrical function theory have been inten sively developed from the beginning of the twentieth century. They prov...
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Natural Boundary Integral Method and Its Applications
ISBN: 9789048159482 / Angielski / Miękka / 540 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Boundary element methods are very important for solving boundary value problems in PDEs. Many boundary value problems of partial differential equations can be reduced into boundary integral equations by the natural boundary reduction. In this book the natural boundary integral method, suggested and developed by Feng and Yu, is introduced systematically. It is quite different from popular boundary element methods and has many distinctive advantages. The variational principle is conserved after the natural boundary reduction, and some useful properties are also preserved faithfully.... Boundary element methods are very important for solving boundary value problems in PDEs. Many boundary value problems of partial differential equat... |
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Theory of Nonlinear Acoustics in Fluids
ISBN: 9789048159987 / Angielski / Miękka / 282 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of the present book is to present theoretical nonlinear aco- tics with equal stress on physical and mathematical foundations. We have attempted explicit and detailed accounting for the physical p- nomena treated in the book, as well as their modelling, and the f- mulation and solution of the mathematical models. The nonlinear acoustic phenomena described in the book are chosen to give phy- cally interesting illustrations of the mathematical theory. As active researchers in the mathematical theory of nonlinear acoustics we have found that there is a need for a coherent account of this...
The aim of the present book is to present theoretical nonlinear aco- tics with equal stress on physical and mathematical foundations. We have attempte...
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