Springer Monographs in Mathematics – serie
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496 produkter
Optimization Methods in Electromagnetic Radiation
Av Thomas S. Angell, Andreas Kirsch
Inbunden, 2004
1097 kr
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This book considers problems of optimization arising in the design of electromagnetic radiators and receivers. The authors develop a systematic general theory that can be applied to a wide class of structures. The theory is illustrated with familiar, simple examples and indications of how the …
Introduction to the Mathematical Theory of the Navier-Stokes Equations
Steady-State Problems
Inbunden, 2011
1642 kr
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The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. …
Vorticity, Statistical Mechanics, and Monte Carlo Simulation
Inbunden, 2006
1097 kr
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This book is meant for an audience of advanced undergraduates and graduate students taking courses on the statistical mechanics approach to turbulent ?ows and on stochastic simulations. It is also suitable for the self-study of professionals involved in the research and modelling of large scale …
Noncommutative Dynamics and E-Semigroups
Inbunden, 2003
1097 kr
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These days, the term Noncommutative Dynamics has several interpretations. It is used in this book to refer to a set of phenomena associated with the dynamical evo lution of quantum systems of the simplest kind that involve rigorous mathematical structures associated with infinitely many degrees of …
Fixed Point Theory
Av Andrzej Granas, James Dugundji
Inbunden, 2003
2405 kr
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The aim of this monograph is to give a unified account of the classical topics in fixed point theory that lie on the border-line of topology and non linear functional analysis, emphasizing developments related to the Leray Schauder theory. Using for the most part geometric methods, our study cen …
q-theory of Finite Semigroups
Av John Rhodes, Benjamin Steinberg
Inbunden, 2008
1097 kr
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Discoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader - from the …
p-Adic Automorphic Forms on Shimura Varieties
Av Haruzo Hida
Inbunden, 2004
2187 kr
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In the early years of the 1980s, while I was visiting the Institute for Ad vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a …
Fourier Series in Control Theory
Av Vilmos Komornik, Paola Loreti
Inbunden, 2005
552 kr
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This book uses techniques of Fourier series and functional analysis to deal with certain problems in differential equations. The Fourier series and functional analysis are merely tools; the authors' real interest lies in the differential equations that they study. It has been known since 1967 that …
Optimization of Elliptic Systems
Theory and Applications
Av Pekka Neittaanmaki, Jürgen Sprekels m. fl.
Inbunden, 2005
1642 kr
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The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two …
Nonsmooth Variational Problems and Their Inequalities
Comparison Principles and Applications
Av Siegfried Carl, Vy Khoi Le m. fl.
Inbunden, 2006
1097 kr
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This is the first research monograph to focus on variational inequalities as part of nonsmooth variational systems research. The authors discuss partial differential equations, variational equations, variational and hemivariational inequalities, and related topics. With a wealth of problems and …
Shock Wave Interactions in General Relativity
A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes
Av Jeffrey Groah, Joel Smoller m. fl.
Inbunden, 2006
552 kr
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General relativity is the modern theory of the gravitational ?eld. It is a deep subject that couples ?uid dynamics to the geometry of spacetime through the Einstein equations. The subject has seen a resurgence of interest recently, …
Modern Methods in the Calculus of Variations
L^p Spaces
Av Irene Fonseca, Giovanni Leoni
Inbunden, 2007
549 kr
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This book is a unified presentation of both classical and contemporary results in the calculus of variations. It offers a comprehensive analysis of necessary and sufficient conditions for sequential lower semicontinuity of functionals on Lp spaces, followed by relaxation techniques. In recent years …
Heat Kernel and Theta Inversion on SL2(C)
Inbunden, 2008
1097 kr
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The purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])\SL(2,C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel on SL(2,C) associated to the invariant Laplacian, …
Random Fields and Geometry
Av R. J. Adler, Jonathan E. Taylor
Inbunden, 2007
1526 kr
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Since the term “random ?eld’’ has a variety of different connotations, ranging from agriculture to statistical mechanics, let us start by clarifying that, in this book, a random ?eld is a stochastic process, usually taking values in a Euclidean space, and de?ned over a parameter space of …
Elementary Dirichlet Series and Modular Forms
Av Goro Shimura
Inbunden, 2007
770 kr
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A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives. Also, the author may be encouraged to include new results, provided that they help the reader gain newinsightsandarepresentedalongwithknownoldresultsinaclearexposition. …
Polytopes, Rings, and K-Theory
Av Winfried Bruns, Joseph Gubeladze
Inbunden, 2009
2187 kr
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This book examines interactions of polyhedral discrete geometry and algebra. What makes this book different from others is the presentation of several central results in all three areas of the exposition - discrete geometry, commutative algebra, and K-theory. The only prerequisite for the reader is …
Unitals in Projective Planes
Inbunden, 2008
552 kr
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This book is a monograph on unitals embedded in ?nite projective planes. Unitals are an interesting structure found in square order projective planes, and numerous research articles constructing and discussing these structures have appeared in print. More importantly, there still are many open pr- …
Structure and Geometry of Lie Groups
Av Joachim Hilgert, Karl-Hermann Neeb
Inbunden, 2011
1533 kr
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This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to …
Discrete Energy on Rectifiable Sets
Av Sergiy V. Borodachov, Douglas P. Hardin m. fl.
Inbunden, 2019
1533 kr
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This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations. Written by leading authorities on the topic, this treatise is designed with the graduate student and further explorers in mind. The presentation includes a chapter of …
Self-dual Partial Differential Systems and Their Variational Principles
Inbunden, 2008
552 kr
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How to solve partial differential systems by completing the square. This could well have been the title of this monograph as it grew into a project to develop a s- tematic approach for associating suitable nonnegative energy functionals to a large class of partial differential equations (PDEs) and …
Fractals and Universal Spaces in Dimension Theory
Inbunden, 2008
552 kr
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Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric).The classical theory is now …
Moduli in Modern Mapping Theory
Av Olli Martio, Vladimir Ryazanov m. fl.
Inbunden, 2008
1097 kr
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The purpose of this book is to present modern developments and applications of the techniques of modulus or extremal length of path families in the study of m- n pings in R , n? 2, and in metric spaces. The modulus method was initiated by Lars Ahlfors and Arne Beurling to study conformal mappings. …
Von Karman Evolution Equations
Well-posedness and Long Time Dynamics
Av Igor Chueshov, Irena Lasiecka
Inbunden, 2010
1642 kr
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In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence and uniqueness of solutions; and (ii) qualitative properties of solutions. A positive answer to the …
Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
Av P.L. Sachdev, Ch. Srinivasa Rao
Inbunden, 2009
1097 kr
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A large number of physical phenomena are modeled by nonlinear partialdifferential equations, subject to appropriate initial/ boundary conditions; theseequations, in general, do not admit exact solution. The present monograph givesconstructive mathematical techniques which bring out large time …
Functional Equations and Inequalities with Applications
Inbunden, 2009
3277 kr
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Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. Nowadays, the field of functional equations is an ever-growing branch of mathematics with far-reaching applications; it is increasingly used …
Spherical Inversion on SLn(R)
Inbunden, 2001
1097 kr
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Harish-Chandra's general Plancherel inversion theorem admits a much shorter presentation for spherical functions. The authors have taken into account contributions by Helgason, Gangolli, Rosenberg, and Anker from the mid-1960s to 1990. Anker's simplification of spherical inversion on the …
Solitons in Field Theory and Nonlinear Analysis
Av Yisong Yang
Inbunden, 2001
552 kr
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There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. This book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis. Written by a well …
Multiparameter Processes
An Introduction to Random Fields
Inbunden, 2002
1969 kr
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Multi-parameter processes extend the existing one-parameter theory in an elegant way and have many applications to other fields in mathematics such as real analysis, functional analysis, group theory, and analytic number theory, to name a few. This book on the vast and rapidly developing subject of …
Normal Forms and Unfoldings for Local Dynamical Systems
Inbunden, 2002
552 kr
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The subject of local dynamical systems is concerned with the following two questions: 1. Given an n×n matrix A, describe the behavior, in a neighborhood of the origin, of the solutions of all systems of di?erential equations having a rest point at the origin with linear part Ax, that is, all …
Hankel Operators and Their Applications
Inbunden, 2003
2405 kr
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The purpose of this book is to describe the theory of Hankel operators, one of the most important classes of operators on spaces of analytic func tions. Hankel operators can be defined as operators having infinite Hankel matrices (i. e. , matrices with entries depending only on the sum of the co …
