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The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators
ISBN: 9783540499374 / Angielski / Miękka / 525 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "Volumes III and IV complete L. Hormander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987. "This treatise is... From the reviews: "Volumes III and IV complete L. Hormander's treatise on linear partial differential equations. They constitute the most c... |
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221,37 |
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Differential Forms and Applications
ISBN: 9783540576181 / Angielski / Miękka / 118 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Differential Geome- try, ICTP, Trieste, 1989. In the English translation we omitted a chapter on the Frobenius theorem and an appendix on the nonexistence of a complete hyperbolic plane in euclidean 3-space (Hilbert's theorem). For the present edition, we introduced a chapter on line integrals. In Chapter 1 we introduce the differential forms in Rn. We only assume an elementary knowledge of calculus, and the chapter can be used as a basis for a course on...
This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Different...
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241,50 |
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Solutions de Viscosité Des Équations de Hamilton-Jacobi
ISBN: 9783540584223 / Francuski / Miękka / 195 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Le but de ce livre est de presenter la theorie des solutions de viscosite pour les equations de Hamilton-Jacobi du premier ordre et ses applications aux problemes de controle optimal deterministe et de perturbations singulieres, en particulier du type Grandes Deviations. Il est principalement destine aux etudiants de troisieme cycle et aux chercheurs qui souhaitent se familiariser avec cette theorie mais il en fournit egalement un panorama assez complet pour les equations du premier ordre.
Le but de ce livre est de presenter la theorie des solutions de viscosite pour les equations de Hamilton-Jacobi du premier ordre et ses applications a...
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cena:
160,99 |
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Stabilité Des Structures Élastiques
ISBN: 9783540589273 / Francuski / Miękka / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Ce livre resulte des notes de cours sur la stabilite des structures, cours de specialite offert a l'Ecole Nationale des Ponts et Chaussees, a l'Ecole Polytechnique et aux DEA Mecanique. Il s'agit d'une presentation simple et auto-coherente des principaux resultats de la theorie de stabilite et de bifurcation des structures. Si le premier objectif reste l'enseignement et l'initiation, ce livre interesse aussi les ingenieurs et les lecteurs avertis qui cherchent une presentation naturelle et moderne sur la stabilite faisant le lien entre les traites d'ingenieurs et les ouvrages de recherche...
Ce livre resulte des notes de cours sur la stabilite des structures, cours de specialite offert a l'Ecole Nationale des Ponts et Chaussees, a l'Ecole ...
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cena:
140,86 |
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Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems
ISBN: 9783540612209 / Angielski / Miękka / 237 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really...
From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the ...
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402,53 |
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Lectures on Nonlinear Hyperbolic Differential Equations
ISBN: 9783540629214 / Angielski / Miękka / 290 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this introductory textbook, a revised and extended version of well-known lectures by L. Hormander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are...
In this introductory textbook, a revised and extended version of well-known lectures by L. Hormander from 1986, four chapters are devoted to weak solu...
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cena:
201,24 |
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Homogenization in Time of Singularly Perturbed Mechanical Systems
ISBN: 9783540644477 / Angielski / Miękka / 158 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to...
This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and...
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cena:
120,57 |
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Approximation of Free-Discontinuity Problems
ISBN: 9783540647713 / Angielski / Miękka / 154 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and...
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to t...
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120,57 |
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Burgers-KPZ Turbulence: Göttingen Lectures
ISBN: 9783540652373 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation with random initial data. The analysis is conducted mostly in the space-time domain, with less attention paid to the frequency-domain picture. However, the bibliography contains a more complete information about other directions in the field which over the last decade enjoyed a vigorous expansion. The notes are addressed to a diverse audience, including mathematicians, statisticians, physicists, fluid dynamicists and engineers, and contain both...
These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation wit...
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201,24 |
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The Cauchy Problem for Higher Order Abstract Differential Equations
ISBN: 9783540652380 / Angielski / Miękka / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The main purpose of this book is to present the basic theory and some recent de- velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + AiU(i)(t) = 0, t 0, { U(k)(O) = Uk, 0 k n-l. where AQ, Ab . . ., A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc., can be trans- lated into this form by regarding the partial...
The main purpose of this book is to present the basic theory and some recent de- velopments concerning the Cauchy problem for higher order abstract di...
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cena:
201,09 |
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Symmetry and Perturbation Theory in Nonlinear Dynamics
ISBN: 9783540659044 / Angielski / Twarda / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book deals with the theory of Poincar --Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general...
This book deals with the theory of Poincar --Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie poin...
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402,53 |
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Gröbner Deformations of Hypergeometric Differential Equations
ISBN: 9783540660651 / Angielski / Twarda / 254 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Grobner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Grobner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced here are particularly useful for studying the systems of multidimensional hypergeometric PDEs introduced by Gelfand, Kapranov and Zelevinsky. The...
In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gr...
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cena:
241,50 |
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Regular Variation and Differential Equations
ISBN: 9783540671602 / Angielski / Miękka / 134 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An application of regular variation to the qualitative theory of differential equations. Asymptotic properties (including non-oscillation) of solutions of second order linear and of some non-linear equations are proved by means of a method yielded by the well-developed theory of regular variation.
An application of regular variation to the qualitative theory of differential equations. Asymptotic properties (including non-oscillation) of solution...
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cena:
140,70 |
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Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
ISBN: 9783540674344 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston's concept of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. The theory obtained is illustrated in the complex plane. It is used to give rigorous proofs of some well-known and some partially new statements on the structure of the Mandelbrot set. The text is intended for graduate students and researchers. Some elementary knowledge in topology and in...
This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of ...
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201,24 |
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Regularity Results for Nonlinear Elliptic Systems and Applications
ISBN: 9783540677567 / Angielski / Twarda / 443 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory. This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. T... |
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402,53 |
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Oscillatory Integrals and Phenomena Beyond All Algebraic Orders: With Applications to Homoclinic Orbits in Reversible Systems
ISBN: 9783540677857 / Angielski / Miękka / 418 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of separatrices, ...) different problems appeared in which the key point is the computation of exponentially small terms. This self-contained monograph gives new and rigorous mathematical tools which enable a systematic study of such problems. Starting with elementary illuminating examples, the book contains (i) new asymptotical tools for obtaining exponentially small equivalents of oscillatory integrals involving solutions of nonlinear differential...
During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of s...
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cena:
201,24 |
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Non-Smooth Dynamical Systems
ISBN: 9783540679936 / Angielski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts. It is aimed at applied mathematicians, engineers, and applied scientists in general who wish to learn the subject.
The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical ...
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cena:
201,24 |
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Construction of Global Lyapunov Functions Using Radial Basis Functions
ISBN: 9783540699071 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book combines two mathematical branches: dynamical systems and radialbasisfunctions.Itismainlywrittenformathematicianswithexperience in at least one of these two areas. For dynamical systems we provide a method to construct a Lyapunov function and to determine the basin of attraction of an equilibrium. For radial basis functions we give an important application for the approximation of solutions of linear partial di?erential equations. The book includes a summary of the basic facts of dynamical systems and radial basis functions which are needed in this book. It is, however, no...
This book combines two mathematical branches: dynamical systems and radialbasisfunctions.Itismainlywrittenformathematicianswithexperience in at least ...
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cena:
140,70 |
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A Concise Course on Stochastic Partial Differential Equations
ISBN: 9783540707806 / Angielski / Miękka / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to analyze SPDE: the "martingale measure approach," the "mild solution approach" and the "variational approach." The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach." A large part of necessary background material is included in appendices. These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to anal... |
cena:
160,99 |
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An Introduction to Sobolev Spaces and Interpolation Spaces
ISBN: 9783540714828 / Angielski / Miękka / 218 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. After publishing an introduction to the Navier-Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.
After publishing an introduction to the Navier-Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lec... |
cena:
362,27 |
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