Epstein, Charles L.
Overview
Works:  13 works in 59 publications in 1 language and 1,673 library holdings 

Roles:  Author, Editor 
Classifications:  QA329.42, 577.8801519233 
Publication Timeline
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Most widely held works by
Charles L Epstein
Degenerate diffusion operators arising in population biology
by
Charles L Epstein(
)
9 editions published in 2013 in English and held by 1,008 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 proces
9 editions published in 2013 in English and held by 1,008 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 proces
Introduction to the mathematics of medical imaging
by
Charles L Epstein(
Book
)
23 editions published between 2003 and 2008 in English and held by 377 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 377 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 between 1983 and 1985 in English and held by 255 WorldCat member libraries worldwide
13 editions published between 1983 and 1985 in English and held by 255 WorldCat member libraries worldwide
Advanced real analysis along with a companion volume, Basic real analysis
by
Anthony W Knapp(
)
3 editions published in 2005 in English and held by 18 WorldCat member libraries worldwide
Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present 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 of Advanced Real Analysis: * Develops Fourier analysis and functional analysis with an eye toward partial differential equations * Includes chapters on SturmLiouville theory, compact selfadjoint operators, Euclidean Fourier analysis, topological vector spaces and distributions, compact and locally compact groups, and aspects of partial differential equations * Contains chapters about analysis on manifolds and foundations of probability * Proceeds from the particular to the general, often introducing examples well before a theory that incorporates them * Includes many examples and nearly two hundred problems, and a separate 45page section gives hints or complete solutions for most of the problems * Incorporates, in the text and especially in the problems, material in which real analysis is used in algebra, in topology, in complex analysis, in probability, in differential geometry, and in applied mathematics of various kinds Advanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and 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, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician
3 editions published in 2005 in English and held by 18 WorldCat member libraries worldwide
Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically develop those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. These works present 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 of Advanced Real Analysis: * Develops Fourier analysis and functional analysis with an eye toward partial differential equations * Includes chapters on SturmLiouville theory, compact selfadjoint operators, Euclidean Fourier analysis, topological vector spaces and distributions, compact and locally compact groups, and aspects of partial differential equations * Contains chapters about analysis on manifolds and foundations of probability * Proceeds from the particular to the general, often introducing examples well before a theory that incorporates them * Includes many examples and nearly two hundred problems, and a separate 45page section gives hints or complete solutions for most of the problems * Incorporates, in the text and especially in the problems, material in which real analysis is used in algebra, in topology, in complex analysis, in probability, in differential geometry, and in applied mathematics of various kinds Advanced Real Analysis requires of the reader a first course in measure theory, including an introduction to the Fourier transform and to Hilbert and Banach spaces. Some familiarity with complex analysis is helpful for certain chapters. The book is suitable as a text in graduate courses such as Fourier and functional analysis, modern analysis, and partial differential equations. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for selfstudy, especially for graduate students preparing for qualifying examinations. Its scope and 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, mathematical physics, and differential equations. Indeed, the clarity and breadth of Advanced Real Analysis make it a welcome addition to the personal library of every mathematician
 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
)
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
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
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
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
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
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
Seizures and pseudoseizures
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Visual
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
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Associated Subjects
Diagnostic imagingMathematics Differential equations, Partial Distribution (Probability theory) Elliptic operators Fourier analysis Functional analysis Genomic imprinting Global analysis (Mathematics) Markov processes Mathematical analysis Mathematics Medical physicsMathematics Neurology Population biologyMathematical models Searches and seizures Spectral theory (Mathematics) Threemanifolds (Topology)
Alternative Names
Epstein, C. 1957
Epstein, C. L. 1957
Epstein, Charles 1957
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