Epstein, Charles L.
Overview
Works:  27 works in 76 publications in 2 languages and 1,756 library holdings 

Genres:  Bibliography 
Roles:  Author, Editor 
Classifications:  RC78.7.D53, 515 
Publication Timeline
.
Most widely held works by
Charles L Epstein
Introduction to the mathematics of medical imaging by
Charles L Epstein(
Book
)
23 editions published between 2003 and 2008 in English and held by 343 WorldCat member libraries worldwide
At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses Xray computed tomography (Xray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MRimaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises
23 editions published between 2003 and 2008 in English and held by 343 WorldCat member libraries worldwide
At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses Xray computed tomography (Xray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MRimaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises
The spectral theory of geometrically periodic hyperbolic 3manifolds by
Charles L Epstein(
Book
)
13 editions published in 1985 in English and held by 225 WorldCat member libraries worldwide
13 editions published in 1985 in English and held by 225 WorldCat member libraries worldwide
Degenerate diffusion operators arising in population biology by
Charles L Epstein(
Book
)
9 editions published in 2013 in English and held by 216 WorldCat member libraries worldwide
"This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the Martingale problem and therefore the existence of the associated Markov process. Charles Epstein and Rafe Mazzeo use an "integral kernel method" to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise nature of the degeneracies of the principal symbol for these operators leads to solutions of the parabolic and elliptic problems that display novel regularity properties. Dually, the adjoint operator allows for rather dramatic singularities, such as measures supported on high codimensional strata of the boundary. Epstein and Mazzeo establish the uniqueness, existence, and sharp regularity properties for solutions to the homogeneous and inhomogeneous heat equations, as well as a complete analysis of the resolvent operator acting on Hèolder spaces. They show that the semigroups defined by these operators have holomorphic extensions to the right halfplane. Epstein and Mazzeo also demonstrate precise asymptotic results for the longtime behavior of solutions to both the forward and backward Kolmogorov equations."
9 editions published in 2013 in English and held by 216 WorldCat member libraries worldwide
"This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the Martingale problem and therefore the existence of the associated Markov process. Charles Epstein and Rafe Mazzeo use an "integral kernel method" to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic processes they define. The precise nature of the degeneracies of the principal symbol for these operators leads to solutions of the parabolic and elliptic problems that display novel regularity properties. Dually, the adjoint operator allows for rather dramatic singularities, such as measures supported on high codimensional strata of the boundary. Epstein and Mazzeo establish the uniqueness, existence, and sharp regularity properties for solutions to the homogeneous and inhomogeneous heat equations, as well as a complete analysis of the resolvent operator acting on Hèolder spaces. They show that the semigroups defined by these operators have holomorphic extensions to the right halfplane. Epstein and Mazzeo also demonstrate precise asymptotic results for the longtime behavior of solutions to both the forward and backward Kolmogorov equations."
Die Bedeutung der Schülerbibliotheken und die Verwertung derselben zur Lösung der erziehlichen und unterrichtlichen Aufgabe
der Volksschule : mit e. Anh.: Verzeichnis empfehlenswerter Jugendschriften nebst kurzer Beurteilung u. Inhaltsangabe derselben by
Charles L Epstein(
Book
)
2 editions published in 1901 in German and held by 4 WorldCat member libraries worldwide
2 editions published in 1901 in German and held by 4 WorldCat member libraries worldwide
 Gulfwar aftermath. Building up to a construction bonanza.ʹ A new world order for oil(
)
1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide
The first of these two articles deals with the task of rebuilding Kuwait after the Gulf War with Iraq. The size and award of contracts to Western companies and the issue of war reparations are discussed. The second article examines the implications for world oil markets of the war in the Gulf and its aftermath and discusses the measures for reducing oil consumption and dependance from OPEC oil.SCAD summary
1 edition published in 1991 in English and held by 3 WorldCat member libraries worldwide
The first of these two articles deals with the task of rebuilding Kuwait after the Gulf War with Iraq. The size and award of contracts to Western companies and the issue of war reparations are discussed. The second article examines the implications for world oil markets of the war in the Gulf and its aftermath and discusses the measures for reducing oil consumption and dependance from OPEC oil.SCAD summary
A relative index on the space of embeddable CRstructures by
Charles L Epstein(
Book
)
3 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
Advanced real analysis by
Anthony W Knapp(
Book
)
3 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
Advanced€Real Analysis systematically develops the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established. This work presents a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features: . Early chapters treat the fundamentals of real variables, the theory of Fourier series for the Riemann integral, and the theoretical underpinnings of multivariable calculus and differential equations . Subsequent chapters develop measure theory, pointset topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces . Later chapters provide a higherlevel view of the interaction between real analysis and algebra, including functional analysis, partial differential equations, and further topics in Fourier analysis . Throughout the text are problems that develop and illuminate aspects of the theory of probability . Includes many examples and hundreds of problems, and a chapter gives hints or complete solutions for most of the problems It requires of the reader only familiarity with some linear algebra and real variable theory, a few weeks' worth of group theory, and an acquaintance with proofs. Because it focuses on what every young mathematician needs to know about real analysis, this book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and unique approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, math physics, and applied differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician. TOC:Preface * Theory of calculus in one real variable * Metric spaces * Theory of differential calculus in several variables * Theory of ordinary differential equations and systems * Riemann integration in several variables * Abstract measure theory and Lebesgue measure * Measure theory for Euclidean space * Fourier transform in R^N * L^p spaces * Further topics in abstract measure theory * Topological spaces * Integration on locally compact spaces * Haar measure * Hilbert and Banach spaces * Distributions and their application to PDEs * References * Index
3 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
Advanced€Real Analysis systematically develops the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established. This work presents a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Key topics and features: . Early chapters treat the fundamentals of real variables, the theory of Fourier series for the Riemann integral, and the theoretical underpinnings of multivariable calculus and differential equations . Subsequent chapters develop measure theory, pointset topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces . Later chapters provide a higherlevel view of the interaction between real analysis and algebra, including functional analysis, partial differential equations, and further topics in Fourier analysis . Throughout the text are problems that develop and illuminate aspects of the theory of probability . Includes many examples and hundreds of problems, and a chapter gives hints or complete solutions for most of the problems It requires of the reader only familiarity with some linear algebra and real variable theory, a few weeks' worth of group theory, and an acquaintance with proofs. Because it focuses on what every young mathematician needs to know about real analysis, this book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and unique approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, math physics, and applied differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician. TOC:Preface * Theory of calculus in one real variable * Metric spaces * Theory of differential calculus in several variables * Theory of ordinary differential equations and systems * Riemann integration in several variables * Abstract measure theory and Lebesgue measure * Measure theory for Euclidean space * Fourier transform in R^N * L^p spaces * Further topics in abstract measure theory * Topological spaces * Integration on locally compact spaces * Haar measure * Hilbert and Banach spaces * Distributions and their application to PDEs * References * Index
A stable manifold theorem for the curve shortening equation by
Charles L Epstein(
Book
)
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 2 WorldCat member libraries worldwide
Spirals of violence : Mothers and children by
Charles L Epstein(
Book
)
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
1. Cultural studies of butyl alcoholproducing organisms. 2. The condensation of sorbyl chloride with benzene by
Charles L Epstein(
Book
)
1 edition published in 1942 in English and held by 1 WorldCat member library worldwide
1 edition published in 1942 in English and held by 1 WorldCat member library worldwide
The spectral theory of geometrically periodic hyperbolic 3manyfolds by
Charles L Epstein(
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
ear 21 : Edinburgh Architecture Research, Volume 21, 1994(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Ultraarithmetic, 2 : Intervals of polynomials by
Charles L Epstein(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
Genomic imprinting a lasting memory of your parents(
Visual
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Mathematics of medical imaging by
Charles L Epstein(
Book
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
Die Bedeutung der Schülerbibliotheken und die Verwertund derselben zur Lösung der erziehtichen und unterrichtlichen Aufgabe
der Volksschule : Mit einem Anhang : Verzeichnis empfehlenswerter Jugendschriften nebst kurzer Beurteilung und Inhaltsangabe
derselben by
Charles L Epstein(
Book
)
1 edition published in 1901 in German and held by 1 WorldCat member library worldwide
1 edition published in 1901 in German and held by 1 WorldCat member library worldwide
Gulfwar aftermath : building up to a construction bonanza(
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Ultraarithmetic, 1 : Function data types by
Charles L Epstein(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
CT CISM team response to Newtown, CT  December 14, 2012 by
Charles L Epstein(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
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Children's literature Diagnostic imagingMathematics Differential equations, Partial Distribution (Probability theory) Elliptic operators Fourier analysis Functional analysis Genomic imprinting Germany Global analysis (Mathematics) Human services Markov processes Mathematical analysis Mathematics Medical physicsMathematics Population biologyMathematical models School libraries Sociology Spectral theory (Mathematics) Threemanifolds (Topology)