Introduction to the Theory and Application of the Laplace Transformation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1974
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordinary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed functions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical problems are inserted, when the theory is adequately developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transformation. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dominating idea of all subsequent considerations |
| Beschreibung: | 1 Online-Ressource (VIII, 327 p) |
| ISBN: | 9783642656903 9783642656927 |
| DOI: | 10.1007/978-3-642-65690-3 |
Internformat
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| 245 | 1 | 0 | |a Introduction to the Theory and Application of the Laplace Transformation |c by Gustav Doetsch |
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| 500 | |a In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordinary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed functions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical problems are inserted, when the theory is adequately developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transformation. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dominating idea of all subsequent considerations | ||
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Datensatz im Suchindex
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| author | Doetsch, Gustav |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-65690-3 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642656903 9783642656927 |
| language | English |
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| spelling | Doetsch, Gustav Verfasser aut Introduction to the Theory and Application of the Laplace Transformation by Gustav Doetsch Berlin, Heidelberg Springer Berlin Heidelberg 1974 1 Online-Ressource (VIII, 327 p) txt rdacontent c rdamedia cr rdacarrier In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordinary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed functions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical problems are inserted, when the theory is adequately developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transformation. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dominating idea of all subsequent considerations Mathematics Mathematics, general Mathematik Laplace-Transformation (DE-588)4034577-4 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Laplace-Transformation (DE-588)4034577-4 s 2\p DE-604 https://doi.org/10.1007/978-3-642-65690-3 Verlag Volltext 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 |
| spellingShingle | Doetsch, Gustav Introduction to the Theory and Application of the Laplace Transformation Mathematics Mathematics, general Mathematik Laplace-Transformation (DE-588)4034577-4 gnd |
| subject_GND | (DE-588)4034577-4 (DE-588)4151278-9 |
| title | Introduction to the Theory and Application of the Laplace Transformation |
| title_auth | Introduction to the Theory and Application of the Laplace Transformation |
| title_exact_search | Introduction to the Theory and Application of the Laplace Transformation |
| title_full | Introduction to the Theory and Application of the Laplace Transformation by Gustav Doetsch |
| title_fullStr | Introduction to the Theory and Application of the Laplace Transformation by Gustav Doetsch |
| title_full_unstemmed | Introduction to the Theory and Application of the Laplace Transformation by Gustav Doetsch |
| title_short | Introduction to the Theory and Application of the Laplace Transformation |
| title_sort | introduction to the theory and application of the laplace transformation |
| topic | Mathematics Mathematics, general Mathematik Laplace-Transformation (DE-588)4034577-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Laplace-Transformation Einführung |
| url | https://doi.org/10.1007/978-3-642-65690-3 |
| work_keys_str_mv | AT doetschgustav introductiontothetheoryandapplicationofthelaplacetransformation |