Potential theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
London
Springer
2014
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Ausgabe: | 2. ed. |
Schriftenreihe: | Universitext
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Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781447164210 9781447164227 |
DOI: | 10.1007/978-1-4471-6422-7 |
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Datensatz im Suchindex
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adam_text | POTENTIAL THEORY
/ HELMS, LESTER L.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PRELIMINARIES
LAPLACE’S EQUATION
THE DIRICHLET PROBLEM
GREEN FUNCTIONS
NEGLIGIBLE SETS
DIRICHLET PROBLEM FOR UNBOUNDED REGIONS
ENERGY
INTERPOLATION AND MONOTONICITY
NEWTONIAN POTENTIAL
ELLIPTIC OPERATORS
APRIORI BOUNDS
OBLIQUE DERIVATIVE PROBLEM
APPLICATION TO DIFFUSION PROCESSES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
POTENTIAL THEORY
/ HELMS, LESTER L.
: 2014
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Helms, Lester L. 1927- |
author_GND | (DE-588)138632537 |
author_facet | Helms, Lester L. 1927- |
author_role | aut |
author_sort | Helms, Lester L. 1927- |
author_variant | l l h ll llh |
building | Verbundindex |
bvnumber | BV041852683 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
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discipline | Informatik Mathematik |
doi_str_mv | 10.1007/978-1-4471-6422-7 |
edition | 2. ed. |
format | Electronic eBook |
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spelling | Helms, Lester L. 1927- Verfasser (DE-588)138632537 aut Potential theory Lester L. Helms 2. ed. London Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Universitext Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Potentialtheorie 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)1071861417 Konferenzschrift 1969 Stresa gnd-content Potenzialtheorie (DE-588)4046939-6 s 3\p DE-604 https://doi.org/10.1007/978-1-4471-6422-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027297107&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027297107&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Helms, Lester L. 1927- Potential theory Potenzialtheorie (DE-588)4046939-6 gnd |
subject_GND | (DE-588)4046939-6 (DE-588)4151278-9 (DE-588)1071861417 |
title | Potential theory |
title_auth | Potential theory |
title_exact_search | Potential theory |
title_full | Potential theory Lester L. Helms |
title_fullStr | Potential theory Lester L. Helms |
title_full_unstemmed | Potential theory Lester L. Helms |
title_short | Potential theory |
title_sort | potential theory |
topic | Potenzialtheorie (DE-588)4046939-6 gnd |
topic_facet | Potenzialtheorie Einführung Konferenzschrift 1969 Stresa |
url | https://doi.org/10.1007/978-1-4471-6422-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027297107&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027297107&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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