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  • Spectral Theory and its Applications

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    Collections Livre 139 - Cambridge Studies in Advanced Mathematics
    Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's ... En savoir plus

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    The publisher's special commentary chapter and the author's biography are included in this version.Philosophiae Naturalis Principia Mathematica by Sir Isaac Newton is often referred to as the Principia. The book introduces Sir Isaac Newton's mathematical principles of natural philosophy and his system of the world. The name of the book is Latin for “Mathematical Principles of Natural”. It was ... En savoir plus

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  • Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations

    Collections Livre 145 - Encyclopedia of Mathematics and its Applications
    This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral ... En savoir plus

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  • Mathematics of Two-Dimensional Turbulence

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  • Mathematical Aspects of Fluid Mechanics

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  • Dispersive Partial Differential Equations

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  • Convection with Local Thermal Non-Equilibrium and Microfluidic Effects

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    This book is one of the first devoted to an account of theories of thermal convection which involve local thermal non-equilibrium effects, including a concentration on microfluidic effects. The text introduces convection with local thermal non-equilibrium effects in extraordinary detail, making it easy for readers newer to the subject area to understand. This book is unique in the fact that it ... En savoir plus

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  • Classical and Multilinear Harmonic Analysis: Volume 2

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    This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert ... En savoir plus

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  • Isolated Singularities in Partial Differential Inequalities

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    In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and ... En savoir plus

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  • Variational Methods with Applications in Science and Engineering

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