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Simple Theories
ISBN: 9780792362210 / Angielski / Twarda / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism. Following Kim's proof of forking symmetry' which implies a good behaviour of model-theoretic independence, this area of model theory has been a field of intense study. It has necessitated the development of some important new tools, most notably the model-theoretic treatment of hyperimaginaries (classes modulo type-definable equivalence relations). It thus provides a general notion of independence (and...
Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields...
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201,24 |
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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations
ISBN: 9780792363156 / Angielski / Twarda / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. To our wives, Masha and Marian Interest in the so-called completely integrable systems with infinite num ber of degrees of freedom was aroused immediately after publication of the famous series of papers by Gardner, Greene, Kruskal, Miura, and Zabusky 75, 77, 96, 18, 66, 19J (see also 76]) on striking properties of the Korteweg-de Vries (KdV) equation. It soon became clear that systems of such a kind possess a number of characteristic properties, such as infinite series of symmetries and/or conservation laws, inverse scattering problem formulation, L - A pair representation, existence of...
To our wives, Masha and Marian Interest in the so-called completely integrable systems with infinite num ber of degrees of freedom was aroused immedia...
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603,81 |
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Asymptotic Methods for Ordinary Differential Equations
ISBN: 9780792364009 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at is, a problem with the singularity included in a bounded function j, which depends on time and a small parameter. This problem is a generalization of the regu larly perturbed Cauchy problem studied by Poincare 35]. Some differential equations which are solved by the averaging method can be reduced to a quasiregular...
In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree part...
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402,53 |
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Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift
ISBN: 9780792365495 / Angielski / Twarda / 378 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857). In particular, such problems exhibit as boundary conditions relations among values of the unknown analytic functions which have to be evaluated at different points of the boundary. Singular integral equations with a shift are connected with such boundary value problems in a natural way. Subsequent to Riemann's work, D. Hilbert (1905), C. Haseman (1907) and T. Carleman (1932) also considered problems of this type. About 50 years ago, Soviet mathematicians began a systematic study of...
The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857). In particular, such problems exhibit as bo...
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402,53 |
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Differential Inclusions in a Banach Space
ISBN: 9780792366188 / Angielski / Twarda / 302 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph 19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space. This approach relies on ideas and methods of modem functional analysis, general topology, the theory of multi-valued mappings and continuous selectors. Although the basic content of the previous monograph has been remained the same this monograph has been partly re-organized and...
Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph 19] which was devoted to the dev...
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402,53 |
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Infinite Interval Problems for Differential, Difference and Integral Equations
ISBN: 9780792369615 / Angielski / Twarda / 341 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the...
Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be ...
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402,53 |
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Asymptotics of Linear Differential Equations
ISBN: 9780792371939 / Angielski / Twarda / 441 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The asymptotic theory deals with the problern of determining the behaviour of a function in a neighborhood of its singular point. The function is replaced by another known function ( named the asymptotic function) close (in a sense) to the function under consideration. Many problems of mathematics, physics, and other divisions of natural sci ence bring out the necessity of solving such problems. At the present time asymptotic theory has become an important and independent branch of mathematical analysis. The present consideration is mainly based on the theory of asymp totic spaces. Each...
The asymptotic theory deals with the problern of determining the behaviour of a function in a neighborhood of its singular point. The function is repl...
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201,24 |
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Generalized Solutions of First Order Pdes: The Dynamical Optimization Perspective
ISBN: 9780817637408 / Angielski / Twarda / 314 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Hamilton-Jacobi equations and other types of partial differential equa- tions of the first order are dealt with in many branches of mathematics, mechanics, and physics. These equations are usually nonlinear, and func- tions vital for the considered problems are not smooth enough to satisfy these equations in the classical sense. An example of such a situation can be provided by the value function of a differential game or an optimal control problem. It is known that at the points of differentiability this function satisfies the corresponding Hamilton-Jacobi-Isaacs-Bellman equation. On the...
Hamilton-Jacobi equations and other types of partial differential equa- tions of the first order are dealt with in many branches of mathematics, mecha...
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402,53 |
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Models of Phase Transitions
ISBN: 9780817637682 / Angielski / Twarda / 326 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. ... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/: " "Oil CO/lll , IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple .... (From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn...
... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't...
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523,30 |
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Topological Nonlinear Analysis II: Degree, Singularity and Variations
ISBN: 9780817638863 / Angielski / Twarda / 605 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in nonlin ear analysis during the last three decades. It is intended, at least partly, as a continuation of Topological Nonlinear Analysis: Degree, Singularity and Varia tions, published in 1995. The survey articles presented are concerned with three main streams of research, that is topological degree, singularity theory and variational methods, They reflect the personal taste of the authors, all of them well known and distinguished specialists. A common...
The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in nonlin ear ...
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603,81 |
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Minimax Theorems
ISBN: 9780817639136 / Angielski / Twarda / 165 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many boundary value problems are equivalent to Au=O (1) where A: X ---+ Y is a mapping between two Banach spaces. When the problem is variational, there exists a differentiable functional 0 and e E X such that lIell > rand inf
Many boundary value problems are equivalent to Au=O (1) where A: X ---+ Y is a mapping between two Banach spaces. When the problem is variational, the...
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563,56 |
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Spatial Patterns: Higher Order Models in Physics and Mechanics
ISBN: 9780817641108 / Angielski / Twarda / 343 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its...
The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike....
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201,24 |
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Nonlinear Analysis and Its Applications to Differential Equations
ISBN: 9780817641887 / Angielski / Twarda / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book we present a significant part ofthe material given in an autumn school on "Nonlinear Analysis and Differential Equations," held at the CMAF (Centro de Matematica e Aplica
In this book we present a significant part ofthe material given in an autumn school on "Nonlinear Analysis and Differential Equations," held at the CM...
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402,53 |
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Perturbation Methods for Differential Equations
ISBN: 9780817641894 / Angielski / Twarda / 354 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Perturbation methods are widely used in the study of physically significant differential equations, which arise in Applied Mathematics, Physics and Engineering.; Background material is provided in each chapter along with illustrative examples, problems, and solutions.; A comprehensive bibliography and index complete the work.; Covers an important field of solutions for engineering and the physical sciences.; To allow an interdisciplinary readership, the book focuses almost exclusively on the procedures and the underlying ideas and soft pedal the proofs; Dr. Bhimsen K. Shivamoggi has authored...
Perturbation methods are widely used in the study of physically significant differential equations, which arise in Applied Mathematics, Physics and En...
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201,24 |
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Dynamic Equations on Time Scales: An Introduction with Applications
ISBN: 9780817642259 / Angielski / Twarda / 358 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of...
On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equat...
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201,24 |
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Free Energy and Self-Interacting Particles
ISBN: 9780817643027 / Angielski / Twarda / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book examines a system of parabolic-elliptic partial differential eq- tions proposed in mathematical biology, statistical mechanics, and chemical kinetics. In the context of biology, this system of equations describes the chemotactic feature of cellular slime molds and also the capillary formation of blood vessels in angiogenesis. There are several methods to derive this system. One is the biased random walk of the individual, and another is the reinforced random walk of one particle modelled on the cellular automaton. In the context of statistical mechanics or chemical kinetics, this...
This book examines a system of parabolic-elliptic partial differential eq- tions proposed in mathematical biology, statistical mechanics, and chemical...
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402,53 |
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Selfdual Gauge Field Vortices: An Analytical Approach
ISBN: 9780817643102 / Angielski / Twarda / 325 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as spontaneous symmetry breaking, the quantum Hall effect, charge fractionalization, superconductivity and supergravity. This monograph discusses specific examples of selfdual gauge field structures, including the Chern Simons model, the abelian Higgs model, and Yang Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating... In modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as s... |
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402,53 |
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Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics
ISBN: 9780817643522 / Angielski / Twarda / 289 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra, or as a resource for researchers working with applications to Fuchsian Reduction. The comprehensive approach features the inclusion of problems and bibliographic notes.
This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces... |
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201,24 |
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Dynamical Systems with Applications Using Maple(tm)
ISBN: 9780817643898 / Angielski / Miękka / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions Two new chapters on neural networks and simulation have also been added Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science Accessible to a broad, interdisciplinary audience of readers with a... Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) New edition has been tho... |
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322,01 |
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Vortices in Bose-Einstein Condensates
ISBN: 9780817643928 / Angielski / Twarda / 203 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the first experimental achievement of Bose Einstein condensates (BEC) in 1995 and the award of the Nobel Prize for Physics in 2001, the properties of these gaseous quantum fluids have been the focus of international interest in condensed matter physics. This monograph is dedicated to the mathematical modeling of some specific experiments which display vortices and to a rigorous analysis of features emerging experimentally. In contrast to a classical fluid, a quantum fluid such as a Bose Einstein condensate can rotate only through the nucleation of quantized vortices... Since the first experimental achievement of Bose Einstein condensates (BEC) in 1995 and the award of the Nobel Prize for Physics in 2001, the prope... |
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402,53 |
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