Monographs in Mathematics – serie
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49 produkter
Minimal Surfaces and Functions of Bounded Variation
Av Giusti
Häftad, 1984
1861 kr
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The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variations, and is one which received a satis factory solution only in recent years. Called the problem …
Singularities of Differentiable Maps
Volume II Monodromy and Asymptotic Integrals
Av V.I. Arnold, A.N. Varchenko m. fl.
Häftad, 2012
1425 kr
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The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in 1982. It will be …
Singularities of Differentiable Maps
Volume I: The Classification of Critical Points Caustics and Wave Fronts
Av V.I. Arnold, A.N. Varchenko m. fl.
Häftad, 2011
552 kr
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... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly …
Ergodic Theory and Semisimple Groups
Av R.J. Zimmer
Häftad, 2013
1534 kr
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This book is based on a course given at the University of Chicago in 1980-81. As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G. A. Margulis concerning rigidity, arithmeticity, and structure of lattices …
Linear and Quasilinear Parabolic Problems
Volume II: Function Spaces
Inbunden, 2019
1425 kr
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This volume discusses an in-depth theory of function spaces in an Euclidean setting, including several new features, not previously covered in the literature. In particular, it develops a unified theory of anisotropic Besov and Bessel potential spaces on Euclidean corners, with infinite-dimensional …
Theory of Function Spaces IV
Av Hans Triebel
Inbunden, 2020
646 kr
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This book is the continuation of the "Theory of Function Spaces" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske …
Theory of Function Spaces IV
Av Hans Triebel
Häftad, 2021
667 kr
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This book is the continuation of the "Theory of Function Spaces" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske …
Boundary Value Problems, Weyl Functions, and Differential Operators
Av Jussi Behrndt, Seppo Hassi m. fl.
Inbunden, 2020
341 kr
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This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral …
Boundary Value Problems, Weyl Functions, and Differential Operators
Av Jussi Behrndt, Seppo Hassi m. fl.
Häftad, 2020
341 kr
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This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral …
Markov Processes and Quantum Theory
Inbunden, 2021
1534 kr
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This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schrödinger equation is a complex-valued evolution equation and the Schrödinger function is a complex-valued evolution function, important …
Markov Processes and Quantum Theory
Häftad, 2022
1534 kr
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This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schrödinger equation is a complex-valued evolution equation and the Schrödinger function is a complex-valued evolution function, important …
Functions of Least Gradient
Av Wojciech Górny, José M. Mazón
Inbunden, 2024
1752 kr
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This book is devoted to the least gradient problem and its variants. The least gradient problem concerns minimization of the total variation of a function with prescribed values on the boundary of a Lipschitz domain. It is the model problem for studying minimization problems involving functionals …
Functions of Least Gradient
Av Wojciech Górny, José M. Mazón
Häftad, 2025
1752 kr
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This book is devoted to the least gradient problem and its variants. The least gradient problem concerns minimization of the total variation of a function with prescribed values on the boundary of a Lipschitz domain. It is the model problem for studying minimization problems involving functionals …
Surface Evolution Equations
A Level Set Approach
Inbunden, 2026
1752 kr
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This monograph presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations, including curvature flow equations. These equations are important in many applications, such as material sciences, image processing, and differential …
Elliptic Partial Differential Equations
Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains
Inbunden, 2011
1534 kr
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The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This …
Vector-valued Laplace Transforms and Cauchy Problems
Second Edition
Av Wolfgang Arendt, Charles J.K. Batty m. fl.
Inbunden, 2011
1534 kr
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This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence …
Methods of Geometric Analysis in Extension and Trace Problems
Volume 1
Av Alexander Brudnyi, Prof. Yuri Brudnyi Technion R&D Foundation Ltd
Inbunden, 2011
1316 kr
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The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial …
Methods of Geometric Analysis in Extension and Trace Problems
Volume 2
Av Alexander Brudnyi, Prof. Yuri Brudnyi Technion R&D Foundation Ltd
Inbunden, 2011
1207 kr
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The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial …
Elliptic Partial Differential Equations
Volume 1: Fredholm Theory of Elliptic Problems in Unbounded Domains
Häftad, 2013
1318 kr
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The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This …
Vector-valued Laplace Transforms and Cauchy Problems
Second Edition
Av Wolfgang Arendt, Charles J.K. Batty m. fl.
Häftad, 2013
1534 kr
Lägg i varukorg
This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence …
Methods of Geometric Analysis in Extension and Trace Problems
Volume 1
Av Alexander Brudnyi, Prof. Yuri Brudnyi Technion R&D Foundation Ltd
Häftad, 2013
1316 kr
Lägg i varukorg
The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial …
Methods of Geometric Analysis in Extension and Trace Problems
Volume 2
Av Alexander Brudnyi, Prof. Yuri Brudnyi Technion R&D Foundation Ltd
Häftad, 2013
1098 kr
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The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial …
Navier-Stokes Equations: A Mathematical Analysis
Inbunden, 2019
1789 kr
Kommande
The Navier-Stokes equations - modeling the motion of viscous, incompressible Newtonian fluids - have been capturing the attention of an increasing number of mathematicians over the years and has now become one of the most intensely studied subjects in applied analysis. This project is dedicated to …
Elliptic Partial Differential Equations
Volume 2: Reaction-Diffusion Equations
Inbunden, 2014
1861 kr
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If we had to formulate in one sentence what this book is about, it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of …
Abstract Root Subgroups and Simple Groups of Lie-Type
Häftad, 2012
1098 kr
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It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the …
Structure of Functions
Av Hans Triebel
Häftad, 2012
1098 kr
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This book deals with the symbiotic relationship between I Quarkonial decompositions of functions, on the one hand, and II Sharp inequalities and embeddings in function spaces, III Fractal elliptic operators, IV Regularity theory for some semi-linear equations, on the other hand. Accordingly, the …
Stochastic Processes in Quantum Physics
Häftad, 2012
1643 kr
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"Stochastic Processes in Quantum Physics" addresses the question 'What is the mathematics needed for describing the movement of quantum particles', and shows that it is the theory of stochastic (in particular Markov) processes and that a relativistic quantum particle has pure-jump sample paths …
Reconstructive Integral Geometry
Häftad, 2012
1098 kr
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One hundred years ago (1904) Hermann Minkowski [58] posed a problem: to re 2 construct an even function I on the sphere 8 from knowledge of the integrals MI (C) = fc Ids over big circles C. Paul Funk found an explicit reconstruction formula for I from data of big circle integrals. Johann Radon …
Schrödinger Equations and Diffusion Theory
Av M. Nagasawa
Häftad, 2012
551 kr
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Schrödinger Equations and Diffusion Theory addresses the question "What is the Schrödinger equation?" in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger's conjecture of 1931 is solved. The theory of …
