Springer Tracts in Natural Philosophy – serie
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39 produkter
Introduction to the Mathematical Theory of the Navier-Stokes Equations
Volume II: Nonlinear Steady Problems
Häftad, 2011
554 kr
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This is the second of four volumes on the Navier-Stokes equations, specifically on Nonlinear Stationary Problems. The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, …
Commentary on Thermodynamics
Häftad, 2012
554 kr
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The aim of this book is to comment on, and clarify, the mathematical aspects of the theory of thermodynamics. The standard presentations of the subject are often beset by a number of obscurities associated with the words "state", "reversible", "irreversible", and "quasi-static". This book is …
Rational extended thermodynamics
Av Ingo Mueller, Tommaso Ruggeri
Häftad, 2011
1425 kr
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Ordinary thermodynamics provides reliable results when the thermodynamic fields are smooth, in the sense that there are no steep gradients and no rapid changes. In fluids and gases this is the domain of the equations of Navier-Stokes and Fourier. Extended thermodynamics becomes relevant for rapidly …
Phase-Integral Method
Allowing Nearlying Transition Points
Av Nanny Fröman, Per O. Fröman
Häftad, 2011
554 kr
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The efficiency of the phase-integral method developed by the present au thors has been shown both analytically and numerically in many publica tions. With the inclusion of supplementary quantities, closely related to new Stokes constants and obtained with the aid of comparison equation technique, …
Continua with Microstructure
Häftad, 2011
1098 kr
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This book proposes a new general setting for theories of bodies with microstructure when they are described within the scheme of the con tinuum: besides the usual fields of classical thermomechanics (dis placement, stress, temperature, etc.) some new fields enter the picture (order parameters, …
Boundary Value Problems of Finite Elasticity
Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data
Häftad, 2011
554 kr
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In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal …
Rational Kinematics
Häftad, 2011
554 kr
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A rational study of kinematics is a treatment of the subject based on invariants, i.e., quantities that remain essentially unchanged under a change of observer. An observer is understood to be a reference frame supplied with a clock (Truesdell 1966). This study will therefore include an …
Heat Conduction Within Linear Thermoelasticity
Häftad, 2012
1101 kr
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J-B. J. FOURIER'S immensely influential treatise Theorie Analytique de la Chaleur [21J, and the subsequent developments and refinements of FOURIER's ideas and methods at the hands of many authors, provide a highly successful theory of heat conduction. According to that theory, the growth or decay …
Theory of Pseudo-rigid Bodies
Av Harley Cohen, Robert G. Muncaster
Häftad, 2011
554 kr
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This monograph concerns the development, analysis, and application of the theory of pseudo-rigid bodies. It collects together our work on that subject over the last five years. While some results have appeared else where, much of the work is new. Our objective in writing this mono graph has been …
Development of the Equations of Electromagnetism in Material Continua
Häftad, 2012
1101 kr
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This tract is based on lecture notes for a course in mechanics that has been offered at Rensselaer Polytechnic Institute on and off for the past twenty years. The course is intended to provide graduate students in mechanics with an understanding of electromagnetism and prepare them for studies on …
Linearized Analysis of One-Dimensional Magnetohydrodynamic Flows
Häftad, 2012
552 kr
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Magnetohydrodynamics is concerned with the motion of electrically conducting fluids in the presence of electric or magnetic fields. Un fortunately, the subject has a rather poorly developed experimental basis and because of the difficulties inherent in carrying out controlled laboratory …
Foundations of Physics
Av Mario Bunge
Häftad, 2012
552 kr
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This is not an introduction to physics but an analysis of its founda tions. Indeed, the aims of this book are: (1) to analyze the form and content of some of the key ideas of physics; (2) to formulate several basic physical theories in an explicit and orderly (i. e. , axiomatic) fashion; (3) to …
Uniqueness Theorems in Linear Elasticity
Häftad, 2011
552 kr
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The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the …
Thermodynamics of Simple Materials with Fading Memory
Häftad, 2011
552 kr
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This Tract gives an account of certain recent attempts to construct a satisfactory theory of thermodynamics for materials which have a memory for the past. Naturally it draws heavily on the writings of those who have made significant contributions to the field. I am particularly grateful to …
Analysis of Discretization Methods for Ordinary Differential Equations
Häftad, 2011
552 kr
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Due to the fundamental role of differential equations in science and engineering it has long been a basic task of numerical analysts to generate numerical values of solutions to differential equations. Nearly all approaches to this task involve a "finitization" of the original differential equation …
Monotonie: Lösbarkeit und Numerik bei Operatorgleichungen
Av E. Bohl
Häftad, 2011
516 kr
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Variational Methods Applied to Problems of Diffusion and Reaction
Häftad, 2011
552 kr
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This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other …
Integral Geometry and Inverse Problems for Hyperbolic Equations
Häftad, 2012
552 kr
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There are currently many practical situations in which one wishes to determine the coefficients in an ordinary or partial differential equation from known functionals of its solution. These are often called "inverse problems of mathematical physics" and may be contrasted with problems in which an …
Stability of Fluid Motions I
Av D. D. Joseph
Häftad, 2011
1098 kr
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The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown"whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent …
Stability of Fluid Motions II
Av D. D. Joseph
Häftad, 2011
552 kr
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The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown, whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent …
Relativistic Theories of Materials
Av A. Bressan
Häftad, 2011
552 kr
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The theory of relativity was created in 1905 to solve a problem concerning electromagnetic fields. That solution was reached by means of profound changes in fundamental concepts and ideas that considerably affected the whole of physics. Moreover, when Einstein took gravitation into account, he was …
Approximation of Functions: Theory and Numerical Methods
Häftad, 2012
552 kr
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for example, the so-called Lp approximation, the Bernstein approxima tion problem (approximation on the real line by certain entire functions), and the highly interesting studies of J. L. WALSH on approximation in the complex plane. I would like to extend sincere thanks to Professor L. COLLATZ for …
Introduction to the Theory of Bases
Häftad, 2014
552 kr
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Since the publication of Banach's treatise on the theory of linear operators, the literature on the theory of bases in topological vector spaces has grown enormously. Much of this literature has for its origin a question raised in Banach's book, the question whether every sepa rable Banach space …
Magnetoelastic Interactions
Häftad, 2012
552 kr
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The modern theory of ferromagnetic magnetization processes has from the beginning recognized the importance of magnetoelastic inter actions. Most of the magnetoelastic calculations, however, have been basecl on the theory developed by R. BECKER and others in the early 1930's. That theory has …
Mathematical Foundations of Network Analysis
Av Paul Slepian
Häftad, 2012
552 kr
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In this book we attempt to develop the fundamental results of resistive network analysis, based upon a sound mathematical structure. The axioms upon which our development is based are Ohm's Law, Kirchhoff's Voltage Law, and Kirchhoff's Current Law. In order to state these axioms precisely, and use …
Nonlinear Differential Equations of Chemically Reacting Systems
Häftad, 2012
552 kr
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In recent years considerable interest has developed in the mathe matical analysis of chemically reacting systems both in the absence and in the presence of diffusion. Earlier work has been limited to simple problems amenable to closed form solutions, but now the computer permits the numerical …
Obtaining Generating Functions
Häftad, 2012
554 kr
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This book is an introduction to the study of methods of obtaining generating functions. It is an expository work at the level of the beginning graduate student. The first part of Chapter I gives the reader the necessary definitions and basic concepts. The fundamental method of direct summation is …