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Potential Theory Universitext by Helms Lester L. | Paperback
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- ¡Cómpralo ya!Potential Theory Universitext by Helms Lester L. | Paperback
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Recogida:
Recogida local gratis en Manchester, New Hampshire, Estados Unidos.
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Gratis Standard Shipping.
Ubicado en: Manchester, New Hampshire, Estados Unidos
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Entrega prevista entre el jue. 16 oct. y el lun. 20 oct. a 94104
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N.º de artículo de eBay:316187634173
Última actualización el 26 ago 2025 13:32:27 H.EspVer todas las actualizacionesVer todas las actualizaciones
Características del artículo
- Estado
- En buen estado
- Notas del vendedor
- “READ BELOW!”
- ISBN
- 9781848823181
Acerca de este producto
Product Identifiers
Publisher
Springer
ISBN-10
1848823185
ISBN-13
9781848823181
eBay Product ID (ePID)
71663393
Product Key Features
Number of Pages
Xi, 441 Pages
Publication Name
Potential Theory
Language
English
Publication Year
2009
Subject
General, Physics / Mathematical & Computational, Vector Analysis, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Series
Universitext Ser.
Format
Trade Paperback
Dimensions
Item Weight
24.1 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
22
Reviews
From the reviews:The author sets the goal of the book as getting the reader from real analysis to the front line of potential theory as quickly as possible. … Each chapter begins with some physical and historical context … . The excellent index is also very helpful in navigating the material. … a fine text for self-study, reference, or a graduate course. Researchers in the field will consider it a standard and those in an adjacent field … will also find it a valuable reference. (Bill Wood, The Mathematical Association of America, May, 2010)The first part of the book deals with the basics of classical potential theory while the rest of the book deals with the solution to elliptic partial differential equations with various boundary conditions. … Proofs are given in easy to follow detail. … the book is very suitable as a textbook … . On the whole, this book is a very useful addition to available resources. … There is also an index, a notation guide and an extensive bibliography. (P. Lappan, Mathematical Reviews, Issue 2011 a), From the reviews: "The author sets the goal of the book as getting the reader from real analysis to the front line of potential theory as quickly as possible. ... Each chapter begins with some physical and historical context ... . The excellent index is also very helpful in navigating the material. ... a fine text for self-study, reference, or a graduate course. Researchers in the field will consider it a standard and those in an adjacent field ... will also find it a valuable reference." (Bill Wood, The Mathematical Association of America, May, 2010) "The first part of the book deals with the basics of classical potential theory while the rest of the book deals with the solution to elliptic partial differential equations with various boundary conditions. ... Proofs are given in easy to follow detail. ... the book is very suitable as a textbook ... . On the whole, this book is a very useful addition to available resources. ... There is also an index, a notation guide and an extensive bibliography." (P. Lappan, Mathematical Reviews, Issue 2011 a)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.96
Table Of Content
Preface.- Preliminaries.- 1. Laplace's Equation.- 2. The Dirichlet Problem.- 3. Green Functions.- 4. Negligible Sets.- 5. Dirichlet Problem for Unbounded Regions.- 6. Energy.- 7. Interpolation and Monotonicity.- 8. Newtonian Potential.- 9. Elliptic Operators.- 10. Apriori Bounds.- 11. Oblique Derivative Problem.- References.- Index.- Notation.
Synopsis
Aimed at graduate students & researchers in mathematics, physics, & engineering, this book presents a clear path from calculus to classical potential theory & beyond, moving the reader into a fertile area of mathematical research as quickly as possible., Aimed at graduate students and researchers in mathematics, physics, and engineering, this book presents a clear path from calculus to classical potential theory and beyond, moving the reader into a fertile area of mathematical research as quickly as possible. The author revises and updates material from his classic work, Introduction to Potential Theory (1969), to provide a modern text that introduces all the important concepts of classical potential theory. In the first half of the book, the subject matter is developed meticulously from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem of the calculus, the author develops methods for constructing solutions of Laplace's equation on a region with prescribed values on the boundary of the region. The second half addresses more advanced material aimed at those with a background of a senior undergraduate or beginning graduate course in real analysis. For specialized regions, namely spherical chips, solutions of Laplace's equation are constructed having prescribed normal derivatives on the flat portion of the boundary and prescribed values on the remaining portion of the boundary. By means of transformations known as diffeomorphisms, these solutions are morphed into local solutions on regions with curved boundaries. The Perron-Weiner-Brelot method is then used to construct global solutions for elliptic partial differential equations involving a mixture of prescribed values of a boundary differential operator on part of the boundary and prescribed values on the remainder of the boundary., This book presents a clear path from calculus to classical potential theory and beyond with the aim of moving the reader into a fertile area of mathematical research as quickly as possible.
LC Classification Number
QA404.7-405QC5.53TA
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