Introduction To Potential Theory
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Potential Theory
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Author : Lester L. Helms
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-10
Potential Theory written by Lester L. Helms and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-10 with Mathematics categories.
Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops methods for constructing solutions of Laplace's equation on a region with prescribed values on the boundary of the region. The latter half of the book addresses more advanced material aimed at those with the background of a senior undergraduate or beginning graduate course in real analysis. Starting with solutions of the Dirichlet problem subject to mixed boundary conditions on the simplest of regions, methods of morphing such solutions onto solutions of Poisson's equation on more general regions are developed using diffeomorphisms and the Perron-Wiener-Brelot method, culminating in application to Brownian motion. In this new edition, many exercises have been added to reconnect the subject matter to the physical sciences. This book will undoubtedly be useful to graduate students and researchers in mathematics, physics and engineering.
Foundations Of Potential Theory
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Author : Oliver Dimon Kellogg
language : en
Publisher: Courier Corporation
Release Date : 1953-01-01
Foundations Of Potential Theory written by Oliver Dimon Kellogg and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953-01-01 with Science categories.
Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.
Introduction To Potential Theory
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Author : Rudolf Sigl
language : en
Publisher: Routledge
Release Date : 1985
Introduction To Potential Theory written by Rudolf Sigl and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Introduction To Potential Theory
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Author : Lester La Verne Helms
language : en
Publisher: John Wiley & Sons
Release Date : 1969
Introduction To Potential Theory written by Lester La Verne Helms and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Classical Potential Theory And Its Probabilistic Counterpart
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Author : Joseph L. Doob
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-01-12
Classical Potential Theory And Its Probabilistic Counterpart written by Joseph L. Doob and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-12 with Mathematics categories.
From the reviews: "Here is a momumental work by Doob, one of the masters, in which Part 1 develops the potential theory associated with Laplace's equation and the heat equation, and Part 2 develops those parts (martingales and Brownian motion) of stochastic process theory which are closely related to Part 1". --G.E.H. Reuter in Short Book Reviews (1985)
Potential Theory In Gravity And Magnetic Applications
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Author : Richard J. Blakely
language : en
Publisher: Cambridge University Press
Release Date : 1996-09-13
Potential Theory In Gravity And Magnetic Applications written by Richard J. Blakely and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-13 with Mathematics categories.
This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theory, emphasising those aspects particularly important to earth scientists, such as Laplace's equation, Newtonian potential, magnetic and electrostatic fields, and conduction of heat. The theory is then applied to the interpretation of gravity and magnetic anomalies, drawing on examples from modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book includes numerous exercises and a variety of computer subroutines written in FORTRAN. Graduate students and researchers in geophysics will find this book essential.
Potential Theory In The Complex Plane
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Author : Thomas Ransford
language : en
Publisher: Cambridge University Press
Release Date : 1995-03-16
Potential Theory In The Complex Plane written by Thomas Ransford and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-16 with Mathematics categories.
Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.
Quantum Potential Theory
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Author : Philippe Biane
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-23
Quantum Potential Theory written by Philippe Biane and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-23 with Mathematics categories.
This book offers the revised and completed notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and Applications to Physics." These lectures provide an introduction to the theory and discuss various applications.
Introduction To Potential Theory
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Author : Hitoshi Tanaka
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-12-30
Introduction To Potential Theory written by Hitoshi Tanaka and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-30 with Mathematics categories.
This monograph is devoted to harmonic analysis and potential theory. The authors study these essentials carefully and present recent researches based on the papers including by authors in an accessible manner for graduate students and researchers in pure and applied analysis.
An Introduction To Potential Theory
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Author : Nicolaas Du Plessis
language : en
Publisher: Hafner Press
Release Date : 1970
An Introduction To Potential Theory written by Nicolaas Du Plessis and has been published by Hafner Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Dirichlet problem categories.