Generalized Functions Theory and Technique:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1998
|
Ausgabe: | Second Edition |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The theory of generalized functions is a fundamental part of the toolkit of mathematicians, physicists, and theoretically inclined engineers. It has become increasingly clear that methods based on this theory, also known as the theory of distributions, not only help us to solve previously unsolved problems but also enalble us to recover known solutions in a very simple manner. This book contains both the theory and applications of generalized functions with a significant feature being the quantity and variety of applications. Definitions and theorems are stated precisely, but rigor is minimized in favor of comprehension of techniques. Most of the material is easily accessible to senior undergraduate and graduate students in mathematical, physical and engineering sciences. The background required is limited to the standard courses in advanced calculus, ordinary and partial differential equations, and boundary value problems. The chapters that are suitable as a one semester course are furnished with sets of exercises. This edition has been strengthened in many ways. Various new concepts have been added. Some of the new material has been reorganized to improve the logical flow of ideas. And the set of examples has been expanded considerably to make more of the ideas concrete in the reader's eye |
Beschreibung: | 1 Online-Ressource (474p) |
ISBN: | 9781468400359 9781468400373 |
DOI: | 10.1007/978-1-4684-0035-9 |
Internformat
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500 | |a The theory of generalized functions is a fundamental part of the toolkit of mathematicians, physicists, and theoretically inclined engineers. It has become increasingly clear that methods based on this theory, also known as the theory of distributions, not only help us to solve previously unsolved problems but also enalble us to recover known solutions in a very simple manner. This book contains both the theory and applications of generalized functions with a significant feature being the quantity and variety of applications. Definitions and theorems are stated precisely, but rigor is minimized in favor of comprehension of techniques. Most of the material is easily accessible to senior undergraduate and graduate students in mathematical, physical and engineering sciences. The background required is limited to the standard courses in advanced calculus, ordinary and partial differential equations, and boundary value problems. The chapters that are suitable as a one semester course are furnished with sets of exercises. This edition has been strengthened in many ways. Various new concepts have been added. Some of the new material has been reorganized to improve the logical flow of ideas. And the set of examples has been expanded considerably to make more of the ideas concrete in the reader's eye | ||
650 | 4 | |a Mathematics | |
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Datensatz im Suchindex
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any_adam_object | |
author | Kanwal, Ram P. 1924-2006 |
author_GND | (DE-588)1055774505 |
author_facet | Kanwal, Ram P. 1924-2006 |
author_role | aut |
author_sort | Kanwal, Ram P. 1924-2006 |
author_variant | r p k rp rpk |
building | Verbundindex |
bvnumber | BV042420990 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)1165558926 (DE-599)BVBBV042420990 |
dewey-full | 519 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519 |
dewey-search | 519 |
dewey-sort | 3519 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4684-0035-9 |
edition | Second Edition |
format | Electronic eBook |
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id | DE-604.BV042420990 |
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indexdate | 2024-07-10T01:21:08Z |
institution | BVB |
isbn | 9781468400359 9781468400373 |
language | English |
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publishDate | 1998 |
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publisher | Birkhäuser Boston |
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spelling | Kanwal, Ram P. 1924-2006 Verfasser (DE-588)1055774505 aut Generalized Functions Theory and Technique by Ram P. Kanwal Second Edition Boston, MA Birkhäuser Boston 1998 1 Online-Ressource (474p) txt rdacontent c rdamedia cr rdacarrier The theory of generalized functions is a fundamental part of the toolkit of mathematicians, physicists, and theoretically inclined engineers. It has become increasingly clear that methods based on this theory, also known as the theory of distributions, not only help us to solve previously unsolved problems but also enalble us to recover known solutions in a very simple manner. This book contains both the theory and applications of generalized functions with a significant feature being the quantity and variety of applications. Definitions and theorems are stated precisely, but rigor is minimized in favor of comprehension of techniques. Most of the material is easily accessible to senior undergraduate and graduate students in mathematical, physical and engineering sciences. The background required is limited to the standard courses in advanced calculus, ordinary and partial differential equations, and boundary value problems. The chapters that are suitable as a one semester course are furnished with sets of exercises. This edition has been strengthened in many ways. Various new concepts have been added. Some of the new material has been reorganized to improve the logical flow of ideas. And the set of examples has been expanded considerably to make more of the ideas concrete in the reader's eye Mathematics Differential equations, partial Functions, special Applications of Mathematics Partial Differential Equations Real Functions Special Functions Mathematik Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf Distribution Funktionalanalysis (DE-588)4070505-5 s 1\p DE-604 https://doi.org/10.1007/978-1-4684-0035-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Kanwal, Ram P. 1924-2006 Generalized Functions Theory and Technique Mathematics Differential equations, partial Functions, special Applications of Mathematics Partial Differential Equations Real Functions Special Functions Mathematik Distribution Funktionalanalysis (DE-588)4070505-5 gnd |
subject_GND | (DE-588)4070505-5 |
title | Generalized Functions Theory and Technique |
title_auth | Generalized Functions Theory and Technique |
title_exact_search | Generalized Functions Theory and Technique |
title_full | Generalized Functions Theory and Technique by Ram P. Kanwal |
title_fullStr | Generalized Functions Theory and Technique by Ram P. Kanwal |
title_full_unstemmed | Generalized Functions Theory and Technique by Ram P. Kanwal |
title_short | Generalized Functions Theory and Technique |
title_sort | generalized functions theory and technique |
topic | Mathematics Differential equations, partial Functions, special Applications of Mathematics Partial Differential Equations Real Functions Special Functions Mathematik Distribution Funktionalanalysis (DE-588)4070505-5 gnd |
topic_facet | Mathematics Differential equations, partial Functions, special Applications of Mathematics Partial Differential Equations Real Functions Special Functions Mathematik Distribution Funktionalanalysis |
url | https://doi.org/10.1007/978-1-4684-0035-9 |
work_keys_str_mv | AT kanwalramp generalizedfunctionstheoryandtechnique |