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Lie Algebraic Methods in Integrable Systems
ISBN: 9781584880370 / Angielski / Miękka / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The various ideas associated with Lie algebra and Lie groups can be us ed to form a particularly elegant approach to the properties of nonlin ear systems. In this volume, the author exposes the basic techniques o f using Lie algebraic concepts to explore the domain of nonlinear inte grable systems. His emphasis is not on developing a rigorous mathemati cal basis, but on using Lie algebraic methods as an effective tool.
The various ideas associated with Lie algebra and Lie groups can be us ed to form a particularly elegant approach to the properties of nonlin ear syst...
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cena:
830,92 |
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Morse Theory for Hamiltonian Systems
ISBN: 9781584882022 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This Research Note in Mathematics introduces a new Morse (index) theory that is easier to use, less technical and more flexible than existing theories for strongly indefinite functionals. It also contains an extensive survey of material that is now classical but has never appeared in book form. This text provides an accessible, self-contained treatment of the subject matter with full proofs of the major results, and complete with applications of the theory to Hamiltonian systems and other areas of current research, including wave equations, Chern-Simon functionals and Lorentzian geometry.
This Research Note in Mathematics introduces a new Morse (index) theory that is easier to use, less technical and more flexible than existing theories...
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cena:
830,92 |
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Beyond Perturbation: Introduction to the Homotopy Analysis Method
ISBN: 9781584884071 / Angielski / Twarda / 334 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity.
This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, the author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy... Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations ...
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cena:
904,24 |
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Stability of Infinite Dimensional Stochastic Differential Equations with Applications
ISBN: 9781584885986 / Angielski / Twarda / 310 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such systems involves investigating their stability. While the theory of such equations is well established, the study of their stability properties has grown rapidly only in the past 20 years, and most results have remained scattered in journals and conference proceedings.
This book offers a systematic presentation of the modern theory of the... Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications ...
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cena:
830,92 |
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Differential Equations: Inverse and Direct Problems
ISBN: 9781584886044 / Angielski / Miękka / 294 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the preparation of new research results and offers exciting possibilities not only in the future of mathematics but also in physics, engineering, superconductivity in special materials, and other scientific fields.
Exploring the hypotheses and numerical approaches that relate to pure and applied mathematics, this collection of research papers and surveys extends the theories and methods of differential equations. The book begins with discussions... With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the p...
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cena:
1344,14 |
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Free and Moving Boundaries: Analysis, Simulation and Control
ISBN: 9781584886068 / Angielski / Miękka / 472 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, family of moving geometries, and boundary control.
Using numerical analysis, the contributors examine the problems of optimal control theory applied... Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving...
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cena:
1148,63 |
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Moving Shape Analysis and Control: Applications to Fluid Structure Interactions
ISBN: 9781584886112 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Problems involving the evolution of two- and three-dimensional domains arise in many areas of science and engineering. Emphasizing an Eulerian approach, Moving Shape Analysis and Control: Applications to Fluid Structure Interactions presents valuable tools for the mathematical analysis of evolving domains.
The book illustrates the efficiency of the tools presented through different examples connected to the analysis of noncylindrical partial differential equations (PDEs), such as Navier Stokes equations for incompressible fluids in moving domains. The authors first provide all of... Problems involving the evolution of two- and three-dimensional domains arise in many areas of science and engineering. Emphasizing an Eulerian approac...
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cena:
928,67 |
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Optimal Control Applied to Biological Models
ISBN: 9781584886402 / Angielski / Twarda / 274 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models. Focusing on mathematical concepts, the book first examines the most basic problem for continuous time ordinary differential equations (ODEs) before discussing more complicated problems, such as...
From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of op...
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cena:
684,29 |
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Topological Degree Theory and Applications
ISBN: 9781584886488 / Angielski / Twarda / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis. Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications.
The authors begin by introducing the Brouwer degree theory in Rn, then consider the Leray-Schauder degree for compact mappings in normed spaces. Next, they explore the degree theory for condensing mappings, including applications to... Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable...
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cena:
610,97 |
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Introduction to Asymptotic Methods
ISBN: 9781584886778 / Angielski / Twarda / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important methods of singular perturbations within the scope of application of differential equations. The authors take a challenging and original approach based on the integrated mathematical-analytical treatment of various objects taken from...
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that...
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cena:
904,24 |
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Partial Differential Equations for Scientists and Engineers
ISBN: 9781860940248 / Angielski / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and applications of such equations occur in a variety of different fields, ranging from fluid dynamics, electromagnetism, heat conduction and diffusion, to quantum mechanics, wave propagation and general relativity.This volume introduces the important methods used in the solution of partial differential equations. Written primarily for second-year and final-year students taking physics and engineering courses, it will also be of value to mathematicians...
Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and app...
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cena:
156,41 |
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Pseudo Differential Operators and Markov Processes, Volume I: Fourier Analysis and Semigroups
ISBN: 9781860942938 / Angielski / Twarda / 516 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. After recalling essentials of analysis — including functional analysis, convexity, distribution theory and interpolation theory — this book handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one-parameter operator semigroups with emphasis on Feller semigroups and Lp-sub-Markovian semigroups. In addition, Dirichlet forms are treated. The book is self-contained and offers new material originated by the author and his students.
After recalling essentials of analysis — including functional analysis, convexity, distribution theory and interpolation theory — this b...
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cena:
806,48 |
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Applied Analysis: Mathematical Methods in Natural Science
ISBN: 9781860944406 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Senba (Miyazaki U.) and Suzuki (Osaka U.) provide an introduction to applied mathematics in various disciplines. Topics include geometric objects, such as basic notions of vector analysis, curvature and extremals; calculus of variation including isoperimetric inequality, the direct and indirect methods, and numerical schemes; infinite dimensional a
Senba (Miyazaki U.) and Suzuki (Osaka U.) provide an introduction to applied mathematics in various disciplines. Topics include geometric objects, suc...
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cena:
444,79 |
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Introduction to the Calculus of Variations
ISBN: 9781860944994 / Angielski / Twarda / 228 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. - Serves as an excellent introduction to the calculus of variations
- Useful to researchers in different fields of mathematics who want to get a concise but broad introduction to the subject - Includes more than 70 exercises with solutions - Serves as an excellent introduction to the calculus of variations
- Useful to researchers in different fields of mathematics who want to get a co... |
cena:
303,04 |
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Concentration Compactness: Functional-Analytic Grounds and Applications
ISBN: 9781860946660 / Angielski / Twarda / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces.Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of...
Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This un...
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cena:
444,79 |
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Concentration Compactness: Functional-Analytic Grounds and Applications
ISBN: 9781860946677 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces.Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of...
Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This un...
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cena:
219,95 |
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Spectral Theory of Block Operator Matrices and Applications
ISBN: 9781860947681 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: non-self-adjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics.The main topics include: localization of the spectrum by means of new concepts of numerical range; investigation of the essential spectrum;...
This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on clas...
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cena:
483,89 |
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Dynamics and Symmetry
ISBN: 9781860948282 / Angielski / Twarda / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a number of novel geometric techniques, in particular, equivariant transversality. This important book forms a theoretical basis of future work on equivariant reversible and Hamiltonian systems.This book also provides a general and comprehensive introduction to codimension one...
This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside...
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cena:
728,28 |
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Algebraic and Differential Topology: Algebraic and Differential Topology
ISBN: 9782881240355 / Angielski / Twarda / 274 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into...
Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concep...
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cena:
782,04 |
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Stability Estimates for Hybrid Coupled Domain Decomposition Methods
ISBN: 9783540002772 / Angielski / Miękka / 126 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods. Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for ... |
cena:
120,57 |
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