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A First Course in Partial Differential Equations: With Complex Variables and Transform Methods
ISBN: 9780486686400 / Angielski / Miękka / 480 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus.
Incorporating many of the techniques of applied mathematics, the book also contains most of the concepts of rigorous analysis usually found in a course in advanced calculus.... This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elemen...
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cena:
95,89 zł |
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Partial Differential Equations
ISBN: 9780521277594 / Angielski / Miękka / 532 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a rigorous introduction to the abstract theory of partial differential equations. The main prerequisite is familiarity with basic functional analysis: more advanced topics such as Fredholm operators, the Schauder fixed point theorem and Bochner integrals are introduced when needed, and the book begins by introducing the necessary material from the theory of distributions and Sobolev spaces. Using such techniques, the author presents different methods available for solving elliptic, parabolic and hyperbolic equations. He also considers the difference process for the practical...
This book is a rigorous introduction to the abstract theory of partial differential equations. The main prerequisite is familiarity with basic functio...
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cena:
366,01 zł |
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The Cauchy Problem
ISBN: 9780521302388 / Angielski / Twarda / 668 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrodinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students."
This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear s...
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cena:
822,55 zł |
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The One-Dimensional Heat Equation
ISBN: 9780521302432 / Angielski / Twarda / 512 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.
This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value probl...
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cena:
684,20 zł |
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Solitons, Nonlinear Evolution Equations and Inverse Scattering
ISBN: 9780521387309 / Angielski / Miękka / 532 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book brings together several aspects of soliton theory currently available only in research papers. Emphasis is given to the multi-dimensional problems which arise and includes inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multi-dimensions and the dbar method.
This book brings together several aspects of soliton theory currently available only in research papers. Emphasis is given to the multi-dimensional pr...
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cena:
605,81 zł |
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Asymptotic Behaviour of Solutions
ISBN: 9780521422376 / Angielski / Miękka / 166 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations, which are useful in the study of dynamical systems. The author begins with a construction of local asymptotics near the equilibrium points of Navier-Stokes equations, reaction-diffusion equations, and hyperbolic equations, which leads to a construction of global spectral asymptotics of solution of evolutionary equations, which are analogous to Fourier asymptotics in the linear case. He then deals with the global approximation of solutions of perturbed reaction diffusion equations,...
The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations, which are useful in the study of dynamical sys...
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cena:
204,60 zł |
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Boundary Value Problems for Elliptic Systems
ISBN: 9780521430111 / Angielski / Twarda / 656 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are...
The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sci...
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cena:
822,55 zł |
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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories
ISBN: 9780521434089 / Angielski / Twarda / 672 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first volume of a comprehensive and up-to-date treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. The authors describe both continuous theory and numerical approximation. They use an abstract space, operator theoretic approach, based on semigroups methods and unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control....
This is the first volume of a comprehensive and up-to-date treatment of quadratic optimal control theory for partial differential equations over a fin...
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cena:
822,55 zł |
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Some Asymptotic Problems in the Theory of Partial Differential Equations
ISBN: 9780521485371 / Angielski / Miękka / 216 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book, Professor Oleinik highlights her work in the area of partial differential equations. The book is divided into two parts: the first is devoted to the study of the asymptotic behavior at infinity of solutions of a class of nonlinear second order elliptic equations in unbounded and, in particular, cylindrical domains. The second contains the most recent results of the author in the theory of homogenization of partial differential equations and is concerned with questions about partially perforated domains and of solutions with rapidly alternating types of boundary conditions. Many...
In this book, Professor Oleinik highlights her work in the area of partial differential equations. The book is divided into two parts: the first is de...
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cena:
241,49 zł |
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Partial Differential Equations in Classical Mathematical Physics
ISBN: 9780521558464 / Angielski / Miękka / 696 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book considers the theory of partial differential equations as the language of continuous processes in mathematical physics. This is an interdisciplinary area in which the mathematical phenomena are reflections of their physical counterparts. The authors trace the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems--elliptic, parabolic, and...
This book considers the theory of partial differential equations as the language of continuous processes in mathematical physics. This is an interdisc...
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cena:
324,50 zł |
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Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras
ISBN: 9780521561617 / Angielski / Twarda / 122 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book investigates the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. Chapters discuss the work of M. Sato on the algebraic structure of completely integrable systems, together with developments of these ideas in the work of M. Kashiwara. The text should be accessible to anyone with a knowledge of differential and...
This book investigates the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical ...
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cena:
366,01 zł |
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Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves
ISBN: 9780521582339 / Angielski / Twarda / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in...
Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave pr...
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cena:
698,04 zł |
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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon: Continuous and Approximation
ISBN: 9780521584012 / Angielski / Twarda / 452 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Volume II focuses on the optimal control problem over a finite time interval for hyperbolic dynamical systems. The chapters consider some abstract models, each motivated by a particular canonical hyperbolic dynamics, and present numerous new results.
Volume II focuses on the optimal control problem over a finite time interval for hyperbolic dynamical systems. The chapters consider some abstract mod...
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cena:
684,20 zł |
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Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations
ISBN: 9780521602860 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. The relationship between domain decomposition and multigrid methods is carefully explained at an elementary level, and discussions of the implementation of domain decomposition methods on massively parallel super computers are also included. All algorithms are fully described and explained, and a mathematical framework for the analysis and complete understanding of the methods is also carefully developed. In addition, numerous numerical examples are included to demonstrate the...
This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. The relationship between domain d...
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cena:
388,72 zł |
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Introduction to the Theory of Distributions
ISBN: 9780521649711 / Angielski / Miękka / 188 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equations. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without a knowledge of this. The material in this book, based on graduate lectures given over a number of years requires few prerequisites but the treatment is rigorous throughout. From the outset, the theory is developed in several variables. It is taken as far as such important topics as Schwartz kernels, the...
The theory of distributions is an extension of classical analysis, an area of particular importance in the field of linear partial differential equati...
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cena:
218,43 zł |
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Strongly Elliptic Systems and Boundary Integral Equations
ISBN: 9780521663328 / Angielski / Twarda / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. William McLean provides the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book affords an ideal background for studying the modern research...
Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one c...
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cena:
624,26 zł |
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Strongly Elliptic Systems and Boundary Integral Equations
ISBN: 9780521663755 / Angielski / Miękka / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. William McLean provides the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book affords an ideal background for studying the modern research...
Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one c...
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cena:
241,49 zł |
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Geometric Partial Differential Equations and Image Analysis
ISBN: 9780521685078 / Angielski / Miękka / 412 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. It brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. The volume provides information for people investigating new solutions to image processing problems as well as for people searching for...
This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. It brings a number ...
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cena:
241,49 zł |
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Second Order Partial Differential Equations in Hilbert Spaces
ISBN: 9780521777292 / Angielski / Miękka / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Second order linear parabolic and elliptic equations arise frequently in mathematical physics, biology and finance. Here the authors present a state of the art treatment of the subject from a new perspective. They then go on to discuss how the results in the book can be applied to control theory. This area is developing rapidly and there are numerous notes and references that point the reader to more specialized results not covered in the book. Coverage of some essential background material helps to make the book self contained.
Second order linear parabolic and elliptic equations arise frequently in mathematical physics, biology and finance. Here the authors present a state o...
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cena:
342,95 zł |
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Lie's Structural Approach to Pde Systems
ISBN: 9780521780889 / Angielski / Twarda / 590 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in...
Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present ...
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cena:
739,55 zł |
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