Operator Theory for Electromagnetics: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2002
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The purpose of this book is to describe methods for solving problems in applied electromagnetic theory using basic concepts from functional analysis and the theory of operators. Although the book focuses on certain mathematical fundamentals, it is written from an applications perspective for engineers and applied scientists working in this area. Part I is intended to be a somewhat self-contained introduction to operator theory and functional analysis, especially those elements necessary for application to problems in electromagnetics. The goal of Part I is to explain and synthesize these topics in a logical manner. Examples principally geared toward electromagnetics are provided. With the exception of Chapter 1, which serves as a review of basic electromagnetic theory, Part I presents definitions and theorems along with associated discussion and examples. This style was chosen because it allows one to readily identify the main concepts in a particular section. A proof is provided for all theorems whose proof is simple and straightforward. A proof is also provided for theorems that require a slightly more elaborate proof, yet one that is especially enlightening, being either constructive or illustrative. Generally, theorems are stated but not proved in cases where either the proof is too involved or the details of the proof would take one too far afield of the topic at hand, such as requiring additional lemmas that are not clearly useful in applications |
| Beschreibung: | 1 Online-Ressource (XIX, 634 p) |
| ISBN: | 9781475736793 9781441929341 |
| DOI: | 10.1007/978-1-4757-3679-3 |
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| 245 | 1 | 0 | |a Operator Theory for Electromagnetics |b An Introduction |c by George W. Hanson, Alexander B. Yakovlev |
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| 500 | |a The purpose of this book is to describe methods for solving problems in applied electromagnetic theory using basic concepts from functional analysis and the theory of operators. Although the book focuses on certain mathematical fundamentals, it is written from an applications perspective for engineers and applied scientists working in this area. Part I is intended to be a somewhat self-contained introduction to operator theory and functional analysis, especially those elements necessary for application to problems in electromagnetics. The goal of Part I is to explain and synthesize these topics in a logical manner. Examples principally geared toward electromagnetics are provided. With the exception of Chapter 1, which serves as a review of basic electromagnetic theory, Part I presents definitions and theorems along with associated discussion and examples. This style was chosen because it allows one to readily identify the main concepts in a particular section. A proof is provided for all theorems whose proof is simple and straightforward. A proof is also provided for theorems that require a slightly more elaborate proof, yet one that is especially enlightening, being either constructive or illustrative. Generally, theorems are stated but not proved in cases where either the proof is too involved or the details of the proof would take one too far afield of the topic at hand, such as requiring additional lemmas that are not clearly useful in applications | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation 537 - Electricity and electronics |
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| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
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| spelling | Hanson, George W. 1963- Verfasser (DE-588)173507018 aut Operator Theory for Electromagnetics An Introduction by George W. Hanson, Alexander B. Yakovlev New York, NY Springer New York 2002 1 Online-Ressource (XIX, 634 p) txt rdacontent c rdamedia cr rdacarrier The purpose of this book is to describe methods for solving problems in applied electromagnetic theory using basic concepts from functional analysis and the theory of operators. Although the book focuses on certain mathematical fundamentals, it is written from an applications perspective for engineers and applied scientists working in this area. Part I is intended to be a somewhat self-contained introduction to operator theory and functional analysis, especially those elements necessary for application to problems in electromagnetics. The goal of Part I is to explain and synthesize these topics in a logical manner. Examples principally geared toward electromagnetics are provided. With the exception of Chapter 1, which serves as a review of basic electromagnetic theory, Part I presents definitions and theorems along with associated discussion and examples. This style was chosen because it allows one to readily identify the main concepts in a particular section. A proof is provided for all theorems whose proof is simple and straightforward. A proof is also provided for theorems that require a slightly more elaborate proof, yet one that is especially enlightening, being either constructive or illustrative. Generally, theorems are stated but not proved in cases where either the proof is too involved or the details of the proof would take one too far afield of the topic at hand, such as requiring additional lemmas that are not clearly useful in applications Physics Algebra Computer engineering Optics and Electrodynamics Electrical Engineering Elektrodynamik (DE-588)4014251-6 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Elektrodynamik (DE-588)4014251-6 s Funktionalanalysis (DE-588)4018916-8 s Operatortheorie (DE-588)4075665-8 s 1\p DE-604 Yakovlev, Alexander B. Sonstige oth Erscheint auch als Druck-Ausgabe 0-387-95278-0 https://doi.org/10.1007/978-1-4757-3679-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hanson, George W. 1963- Operator Theory for Electromagnetics An Introduction Physics Algebra Computer engineering Optics and Electrodynamics Electrical Engineering Elektrodynamik (DE-588)4014251-6 gnd Operatortheorie (DE-588)4075665-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4014251-6 (DE-588)4075665-8 (DE-588)4018916-8 |
| title | Operator Theory for Electromagnetics An Introduction |
| title_auth | Operator Theory for Electromagnetics An Introduction |
| title_exact_search | Operator Theory for Electromagnetics An Introduction |
| title_full | Operator Theory for Electromagnetics An Introduction by George W. Hanson, Alexander B. Yakovlev |
| title_fullStr | Operator Theory for Electromagnetics An Introduction by George W. Hanson, Alexander B. Yakovlev |
| title_full_unstemmed | Operator Theory for Electromagnetics An Introduction by George W. Hanson, Alexander B. Yakovlev |
| title_short | Operator Theory for Electromagnetics |
| title_sort | operator theory for electromagnetics an introduction |
| title_sub | An Introduction |
| topic | Physics Algebra Computer engineering Optics and Electrodynamics Electrical Engineering Elektrodynamik (DE-588)4014251-6 gnd Operatortheorie (DE-588)4075665-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Physics Algebra Computer engineering Optics and Electrodynamics Electrical Engineering Elektrodynamik Operatortheorie Funktionalanalysis |
| url | https://doi.org/10.1007/978-1-4757-3679-3 |
| work_keys_str_mv | AT hansongeorgew operatortheoryforelectromagneticsanintroduction AT yakovlevalexanderb operatortheoryforelectromagneticsanintroduction |