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Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra (2nd Edition)
ISBN: 9789812708090 / Angielski / Twarda / 472 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as Yang-Mills theory and string theory.Aimed at readers in applied mathematics and physics rather than pure mathematics, the material is ideally suited to students and researchers whose main interest lies in finding solutions to differential equations and invariants of maps.A large number of worked examples...
This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and p...
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519,16 |
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Ginzburg-Landau Vortices
ISBN: 9789812562036 / Angielski / Twarda / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Ginzburg-Landau equation as a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear. The remarkable progress in the mathematical understanding of this equation involves a combined use of mathematical tools from many branches of mathematics. The Ginzburg-Landau model has been an amazing source of new problems and new ideas in analysis, geometry and topology. This collection will meet the urgent needs of the specialists, scholars and graduate students working in this area or related areas.
The Ginzburg-Landau equation as a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices ca...
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519,16 |
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Dynamics, Ergodic Theory and Geometry
ISBN: 9780521875417 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains surveys and research articles by leading experts in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; and ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this a fascinating look at the state of the art.
This volume contains surveys and research articles by leading experts in several areas of dynamical systems that have recently experienced substantial...
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521,34 |
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The Lévy Laplacian
ISBN: 9780521846226 / Angielski / Twarda / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Levy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the Levy Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Levy Laplacian and the symmetrized Levy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading...
The Levy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent yea...
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521,34 |
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics
ISBN: 9780387948669 / Angielski / Twarda / 650 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations...
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Basic Theory of Ordinary Differential Equations
ISBN: 9780387986999 / Angielski / Twarda / 469 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear...
The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional abilit...
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523,30 |
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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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Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan
ISBN: 9783764371074 / Angielski / Miękka / 807 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Philippe Benilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. This present volume is dedicated to him and contains research papers written by highly distinguished mathematicians. They are all related to Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations. Special topics include: Hamilton-Jacobi equations, the porous medium equation, reaction diffusion systems, integro-differential equations and visco-elasticity,... Philippe Benilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equation... |
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523,30 |
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Galois Theory of Linear Differential Equations
ISBN: 9783540442288 / Angielski / Twarda / 438 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. ...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. ...] the specialist, ... |
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523,30 |
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Slow Rarefied Flows: Theory and Application to Micro-Electro-Mechanical Systems
ISBN: 9783764375348 / Angielski / Twarda / 166 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is intended to coverthe presentstatus of the mathematicaltools used to deal with problems related to slow rare?ed ?ows. The meaning and usefulness of the subject, and the extent to which it is covered in the book, are discussed in some detail in the introduction. In short, I tried to present the basic concepts and the techniques used in probing mathematical questions and problems which arise when studying slow rare?ed ?ows in environmental sciences and micromachines. For the book to be up-to-date without being excessively large, it was necessary to omit some topics, which are...
This volume is intended to coverthe presentstatus of the mathematicaltools used to deal with problems related to slow rare?ed ?ows. The meaning and us...
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523,30 |
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Basic Real Analysis and Advanced Real Analysis Set
ISBN: 9780817644079 / Angielski / Book / 1176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Basic Real Analysis and Advanced Real Analysis systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features: * The development proceeds from the particular to the general, often introducing examples well before a theory that incorporates them * Incorporates, in the text and especially in the problems,... Basic Real Analysis and Advanced Real Analysis systematically develop those concepts and tools in real analysis that are vital to every mathematici... |
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523,30 |
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Nonlinear Functional Evolutions in Banach Spaces
ISBN: 9789048162048 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and social models. Some of them can be formulated as nonlinear functional evolutions in infinite-dimensional abstract spaces. Since Webb (1976) considered autonomous nonlinear functional evo lutions in infinite-dimensional real Hilbert spaces, many nonlinear an alysts have studied for the last nearly three decades autonomous non linear functional evolutions, non-autonomous nonlinear functional evo lutions and quasi-nonlinear functional evolutions...
There are many problems in nonlinear partial differential equations with delay which arise from, for example, physical models, biochemical models, and...
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523,30 |
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Exterior Differential Systems
ISBN: 9781461397168 / Angielski / Miękka / 475 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e., submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an...
This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior different...
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523,30 |
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Trends in Pde Constrained Optimization
ISBN: 9783319050829 / Angielski / Twarda / 543 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on "Optimization with Partial Differential Equations" from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE...
Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context ...
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523,30 |
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Solving Nonlinear Partial Differential Equations with Maple and Mathematica
ISBN: 9783709117217 / Angielski / Miękka / 357 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The emphasis of the book is givenin how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple...
The emphasis of the book is givenin how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous no...
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523,30 |
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Heat Kernel Method and Its Applications
ISBN: 9783319262659 / Angielski / Twarda / 390 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The heart of the book is the development of a short-time asymptotic expansion for the heat kernel. This is explained in detail and explicit examples of some advanced calculations are given. In addition some advanced methods and extensions, including path integrals, jump diffusion and others are presented. The book consists of four parts: Analysis, Geometry, Perturbations and Applications. The first part shortly reviews of some background material and gives an introduction to PDEs. The second part is devoted to a short introduction to various aspects of differential geometry that... The heart of the book is the development of a short-time asymptotic expansion for the heat kernel. This is explained in detail and explicit example... |
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523,30 |
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Navier-Stokes Equations: An Introduction with Applications
ISBN: 9783319277585 / Angielski / Twarda / 390 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is devoted to the study of the Navier Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and...
This volume is devoted to the study of the Navier Stokes equations, providing a comprehensive reference for a range of applications: from advanced und...
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523,30 |
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Stability and Boundary Stabilization of 1-D Hyperbolic Systems
ISBN: 9783319320601 / Angielski / Twarda / 307 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices.
The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of... This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It p...
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523,30 |
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Global Well-Posedness and Asymptotic Behavior of the Solutions to Non-Classical Thermo(visco)Elastic Models
ISBN: 9789811017131 / Angielski / Twarda / 200 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents recent results on some global existence, uniqueness and large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising from physics, mechanics and material science such as thermoviscoelastic systems, thermoelastic systems of types II, III and with second sound, Timoshenko-type system with past history. Part of the book is based on the research carried out by the authors and their collaborators in recent years. The book will benefit both the interested beginner in the field and the expert.
This book presents recent results on some global existence, uniqueness and large-time behavior of global solutions of thermo(vis)coelastic systems and...
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523,30 |
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Particles in Flows
ISBN: 9783319602813 / Angielski / Twarda / 519 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of authors and topics represented in the chapters, ranges from deep mathematical analysis of the associated models, through the techniques of their numerical solution, towards real applications and physical implications. The scope and structure of the book as well as the selection of authors was motivated by the very successful summer course and workshop "Particles in Flows'' that was held in Prague in the August of 2014. This meeting revealed the... This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of autho... |
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523,30 |
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