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Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems
ISBN: 9781584882114 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences.
Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out. Self-Similarity and Beyond presents a myriad of approaches to finding exact solutions for a diversity of nonlinear problems. These include group-theoretic methods, the direct method of Clarkson and Kruskal, traveling waves, hodograph methods, balancing arguments, embedding special... Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences.
Nonlinear problems fascinat... |
cena:
1077,50 |
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Abstract Cauchy Problems: Three Approaches
ISBN: 9781584882503 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This Research Note addresses several pivotal problems in spectral theo ry and nonlinear functional analysis in connection with the analysis o f the structure set of zeroes of a general class of nonlinear operator s. Appealing to a broad audience, it contains many important contribut ions to linear algebra, linear functional analysis, nonlinear function analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and system. The result s presented cover a thirty-year period and cut across a variety of mat hematical fields.
This Research Note addresses several pivotal problems in spectral theo ry and nonlinear functional analysis in connection with the analysis o f the st...
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cena:
881,59 |
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Handbook of Exact Solutions for Ordinary Differential Equations
ISBN: 9781584882978 / Angielski / Twarda / 816 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The new edition of this bestselling handbook contains the solutions for an additional 700 ordinary differential equations (ODEs) and now provides more than 6200 solutions. It also includes a new introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ODEs, along with basic definitions and discussion of using modern computer algebra systems to solve ODEs. Subsections are now organized into paragraphs, and the rearrangement of equations into these paragraphs allows for an expanded table of contents that helps readers find equations more quickly....
The new edition of this bestselling handbook contains the solutions for an additional 700 ordinary differential equations (ODEs) and now provides more...
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cena:
1150,97 |
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Quantum Integrable Systems
ISBN: 9781584883807 / Angielski / Miękka / 424 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the more recent advances.
This book presents and clarifies the developments of the last ten years in quantum integrable systems. After a preliminary discussion of the fundamentals of classical nonlinear integrable systems, the authors explore the... The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despi...
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cena:
783,64 |
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Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB
ISBN: 9781584884231 / Angielski / Twarda / 527 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussing its components in detail, focusing on integration concepts such as error monitoring and control. The format allows scientists and engineers to understand the basics of ODE/PDE integration, then calculate sample numerical solutions within their...
This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply OD...
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cena:
930,57 |
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An Introduction to Semiflows
ISBN: 9781584884583 / Angielski / Twarda / 386 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The authors concentrate on three types of absorbing sets: attractors, exponential attractors, and inertial manifolds. They present the fundamental properties of these sets, and then proceed to show the existence of some of these sets for a number of...
This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolu...
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cena:
927,99 |
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Difference Methods for Singular Perturbation Problems
ISBN: 9781584884590 / Angielski / Twarda / 408 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.
The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. The authors develop a technique for constructing and... Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary valu...
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cena:
930,57 |
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Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications
ISBN: 9781584884620 / Angielski / Twarda / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Polya in the 1930's and rediscovered in part several times since, it was not until the 1980's that the Sturmian argument for PDEs began to penetrate into the theory of parabolic equations and was found to have several fundamental applications.
Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications... Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not att...
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cena:
832,62 |
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Elliptic Theory on Singular Manifolds
ISBN: 9781584885207 / Angielski / Twarda / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require completely new mathematical notions and theories. While there has recently been much progress in the field, many of these results have remained scattered in journals and preprints.
Starting from an elementary level and finishing with the most recent results, this book gives a systematic exposition of both analytical and topological aspects of elliptic theory on manifolds with singularities. The presentation includes a review of the main techniques... The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require complete...
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cena:
857,10 |
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Operational Calculus and Related Topics
ISBN: 9781584886495 / Angielski / Twarda / 424 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advances in the field.
Combining the best features of a textbook and a monograph, this volume presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. The text... Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use i...
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cena:
979,55 |
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Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics
ISBN: 9781584886631 / Angielski / Twarda / 528 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution equations and models from physics and mechanics, the book focuses on the existence of new exact solutions on linear invariant subspaces for nonlinear operators and their crucial new properties.
This practical reference deals with various partial differential equations (PDEs) and models that exhibit... Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic...
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cena:
881,59 |
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Envelopes and Sharp Embeddings of Function Spaces
ISBN: 9781584887508 / Angielski / Twarda / 222 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Presenting an account of the theory of growth & continuity envelopes in function spaces, this book introduces the concept of classical spaces before moving on to examine more general spaces. It includes background material & numerous concrete examples, & is useful for graduate students & researchers in functional analysis.
Presenting an account of the theory of growth & continuity envelopes in function spaces, this book introduces the concept of classical spaces before m...
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cena:
710,17 |
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Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures
ISBN: 9781584887652 / Angielski / Twarda / 576 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Extending and generalizing the results of rational equations,
Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies. The book also provides numerous thought-provoking open problems and conjectures on the boundedness character, global stability, and periodic behavior of solutions of rational difference equations. After introducing several... Extending and generalizing the results of rational equations,
Dynamics of Third Order Rational Difference Equations with Open Problems and Conje... |
cena:
881,59 |
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Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications
ISBN: 9781584888741 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, Method of Averaging of the Infinite Interval: Theory and Applications rigorously explains the modern theory of the method of averaging and provides a solid understanding of the results obtained when applying this theory.
The book starts with the less complicated theory of averaging linear differential equations (LDEs), focusing on almost periodic functions. It... In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have ...
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cena:
1134,21 |
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Travelling Waves and Periodic Oscillations in Fermi-Pasta-Ulam Lattices
ISBN: 9781860945328 / Angielski / Twarda / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite Fermi-Pasta-Ulam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students.
This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonli...
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cena:
416,30 |
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Pseudo Differential Operators and Markov Processes, Volume III: Markov Processes and Applications
ISBN: 9781860945687 / Angielski / Twarda / 504 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume concentrates on how to construct a Markov process by starting with a suitable pseudo-differential operator. Feller processes, Hunt processes associated with Lp-sub-Markovian semigroups and processes constructed by using the Martingale problem are at the center of the considerations. The potential theory of these processes is further developed and applications are discussed. Due to the non-locality of the generators, the processes are jump processes and their relations to Levy processes are investigated. Special emphasis is given to the symbol of a process, a notion which...
This volume concentrates on how to construct a Markov process by starting with a suitable pseudo-differential operator. Feller processes, Hunt process...
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cena:
783,64 |
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Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces
ISBN: 9781860945755 / Angielski / Twarda / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both...
Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the g...
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cena:
553,44 |
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Asymptotic Analysis of Differential Equations
ISBN: 9781860945878 / Angielski / Twarda / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including dominant balance, the use of divergent asymptotic series, phase integral methods, asymptotic evaluation of integrals, and boundary layer analysis. The construction of integral solutions and the use of analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic...
An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including d...
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cena:
445,69 |
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Asymptotic Analysis of Differential Equations
ISBN: 9781860946127 / Angielski / Miękka / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including dominant balance, the use of divergent asymptotic series, phase integral methods, asymptotic evaluation of integrals, and boundary layer analysis. The construction of integral solutions and the use of analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic...
An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including d...
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cena:
269,38 |
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Stochastic Differential Equations with Markovian Switching
ISBN: 9781860947018 / Angielski / Twarda / 428 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This textbook provides the first systematic presentation of the theory of stochastic differential equations with Markovian switching. It presents the basic principles at an introductory level but emphasizes current advanced level research trends. The material takes into account all the features of Ito equations, Markovian switching, interval systems and time-lag. The theory developed is applicable in different and complicated situations in many branches of science and industry.
This textbook provides the first systematic presentation of the theory of stochastic differential equations with Markovian switching. It presents the ...
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cena:
538,76 |
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