Applied Mathematical Sciences – serie
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392 produkter
Chaos, Fractals, and Noise
Stochastic Aspects of Dynamics
Av Andrzej Lasota, Michael C. Mackey
Häftad, 2013
879 kr
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The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a …
Topology, Geometry and Gauge fields
Interactions
Inbunden, 2011
989 kr
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A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field and some …
Partial Differential Equations I
Basic Theory
Häftad, 2024
660 kr
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The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev …
Operational Calculus
A Theory of Hyperfunctions
Häftad, 1984
552 kr
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In the end of the last century, Oliver Heaviside inaugurated an operational calculus in connection with his researches in electromagnetic theory. In his operational calculus, the operator of differentiation was denoted by the symbol "p". The explanation of this operator p as given by him was …
Topological Methods in Hydrodynamics
Av Vladimir I. Arnold, Boris A. Khesin
Inbunden, 2021
1425 kr
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First published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view.It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples …
Fluid Dynamics
Av Richard von Mises, Kurt O. Friedrichs
Häftad, 1971
1097 kr
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In the summer of 1941 Brown University undertook a Program of Advanced Instruction and Research in Mechanics. This in fact was the precursor to the present day Division of Applied Mathematics. Certainly an outstanding feature of this program must have been the lectures in Fluid Dynamics by …
Pattern Synthesis
Lectures in Pattern Theory
Av U. Grenander
Häftad, 1976
552 kr
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This book consists of updated and considerably expanded lecture notes. I am grateful to F. John, J. P. LaSalle, L. Sirovich and G. Whitham for accepting this preliminary manu- script for the series Applied Mathematical Sciences published by Springer-Verlag. Many colleagues and students have helped …
Sturmian Theory for Ordinary Differential Equations
Av William T. Reid, J. Burns m. fl.
Häftad, 1981
552 kr
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A major portion of the study of the qualitative nature of solutions of differential equations may be traced to the famous 1836 paper of Sturm [1), (here, as elsewhere throughout this manuscript, numbers in square brackets refer to the bibliography at the end of this volume), dealing with oscilla- …
Lorenz Equations
Bifurcations, Chaos, and Strange Attractors
Häftad, 1982
1642 kr
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The equations which we are going to study in these notes were first presented in 1963 by E. N. Lorenz. They define a three-dimensional system of ordinary differential equations that depends on three real positive parameters. As we vary the parameters, we change the behaviour of the flow determined …
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Av John Guckenheimer, Philip Holmes
Inbunden, 1983
1860 kr
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From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and …
Vorticity and Turbulence
Inbunden, 1994
879 kr
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This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet …
Topological Methods in Hydrodynamics
Av Vladimir I. Arnold, Boris A. Khesin
Inbunden, 1998
1751 kr
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The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is …
Acoustic and Electromagnetic Equations
Integral Representations for Harmonic Problems
Inbunden, 2001
933 kr
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This book is devoted to the study of the acoustic wave equation and of the Maxwell system, the two most common wave equations encountered in physics or in engineering. The main goal is to present a detailed analysis of their mathematical and physical properties. Wave equations are time dependent. …
N-Vortex Problem
Analytical Techniques
Inbunden, 2001
552 kr
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For applied mathematicians, physicists, and engineers interested in either nonlinear dynamics or classical mechanics and fluid dynamics. Describes the Hamiltonian aspects of vortex dynamics so that it may serve as an entry into the large literature on integrable and non-integrable vortex problems.
Multiphase Averaging for Classical Systems
With Applications to Adiabatic Theorems
Av P. Lochak, C. Meunier
Häftad, 1988
1097 kr
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In the past several decades many significant results in averaging for systems of ODE's have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and …
Chaos Near Resonance
Av G. Haller
Inbunden, 1999
552 kr
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Resonances are ubiquitous in dynamical systems with many degrees of freedom. They have the basic effect of introducing slow-fast behavior in an evolutionary system which, coupled with instabilities, can result in highly irregular behavior. This book gives a unified treatment of resonant problems …
Vorticity and Turbulence
Häftad, 2013
552 kr
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This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet …
Manifolds, Tensor Analysis, and Applications
Av Ralph Abraham, Jerrold E. Marsden m. fl.
Inbunden, 1988
1526 kr
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The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian …
Energy Method, Stability, and Nonlinear Convection
Inbunden, 2003
1097 kr
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This book is a revised edition of my earlier book of the same title. The cur rent edition adopts the structure of the earlier version but is much changed. The introduction now contains definitions of stability. Chapters 2 to 4 ex plain stability and the energy method in more depth and new …
Theory and Practice of Finite Elements
Av Alexandre Ern, Jean-Luc Guermond
Inbunden, 2004
1424 kr
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The origins of the finite element method can be traced back to the 1950s when engineers started to solve numerically structural mechanics problems in aeronautics. Since then, the field of applications has widened steadily and nowadays encompasses nonlinear solid mechanics, fluid/structure …
Nonlinear Problems of Elasticity
Inbunden, 2005
2514 kr
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During the nine years since the publication of the ?rst edition of this book, therehasbeensubstantialprogressonthetreatmentofwell-setpr- lemsofnonlinearsolidmechanics. Themainpurposesofthissecondedition are to update the ?rst edition by giving a coherent account of some of the new developments, to …
Statistical and Computational Inverse Problems
Inbunden, 2004
1533 kr
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This book is aimed at postgraduate students in applied mathematics as well as at engineering and physics students with a ?rm background in mathem- ics. The ?rst four chapters can be used as the material for a ?rst course on inverse problems with a focus on computational and statistical aspects. On …
Inverse Problems for Partial Differential Equations
Inbunden, 2005
573 kr
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In 8 years after publication of the ?rst version of this book, the rapidly progre- ing ?eld of inverse problems witnessed changes and new developments. Parts of the book were used at several universities, and many colleagues and students as well as myself observed several misprints and …
Least-Squares Finite Element Methods
Av Pavel B. Bochev, Max D. Gunzburger
Inbunden, 2009
1424 kr
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Since their emergence in the early 1950s, ?nite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of partial differential equations. At the time of their inception, ?nite e- ment methods were viewed primarily as a tool for …
Variational Methods in Imaging
Av Otmar Scherzer, Markus Grasmair m. fl.
Inbunden, 2008
552 kr
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This book focuses on variational methods in imaging science. Many numerical examples accompany the theory throughout the text. This systematic presentation includes additional material and images available on the website. It is geared towards graduate students and researchers in applied …
Mathematical Problems in Image Processing
Partial Differential Equations and the Calculus of Variations
Av Gilles Aubert, Pierre Kornprobst
Inbunden, 2006
1860 kr
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Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how …
Direct Methods in the Calculus of Variations
Inbunden, 2007
1860 kr
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This second edition is the successor to "Direct methods in the calculus of variations" which was published in the Applied Mathematical Sciences series and is currently out of print. Although the core and the structure of the present book is similar to the first edition, it is much more than a …
Computational Homology
Av Tomasz Kaczynski, Konstantin Mischaikow m. fl.
Inbunden, 2004
1424 kr
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Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a computer to develop a combinatorial computational approach to the subject. The core of the book deals with homology theory and its computation. …
Averaging Methods in Nonlinear Dynamical Systems
Av Jan A. Sanders, Ferdinand Verhulst m. fl.
Inbunden, 2007
1097 kr
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Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, …
Polarization and Moment Tensors
With Applications to Inverse Problems and Effective Medium Theory
Av Habib Ammari, Hyeonbae Kang
Inbunden, 2007
1242 kr
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This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The exposition brings simplicity to the advanced material by augmenting the theory with interesting practical examples and numerical …
