Fourier and Laplace transforms /:
This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the a...
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| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English Dutch |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2003.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science. |
| Beschreibung: | 1 online resource (x, 447 pages :) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511675102 0511675100 9780511671852 0511671857 9780511806834 0511806833 1107131340 9781107131347 1283329409 9781283329408 0511673914 9780511673917 9786613329400 6613329401 0511670575 9780511670572 0511673124 9780511673122 |
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| 130 | 0 | |a Fourier en Laplace transformaties. |l English. | |
| 245 | 1 | 0 | |a Fourier and Laplace transforms / |c R.J. Beerends [and others] ; translated from Dutch by R.J. Beerends. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2003. | ||
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| 505 | 0 | |a I: Applications and foundations -- 1. Signals and systems -- 2. Mathematical prerequisites -- II: Fourier series -- 3. Fourier series: definition and properties -- 4. The fundamental theorem of Fourier series -- 5. Application of Fourier series -- III: Fourier integrals and distributions -- 6. Fourier integrals: definition and properties -- 7. The fundamental theorem of the Fourier integral -- 8. Distributions -- 9. The Fourier transform of distributions -- 10. Applications of the Fourier integral -- IV: Laplace transforms -- 11. Complex functions -- 12. The Laplace transform: definition and properties -- 13. Further properties, distributions, and the fundamental theorem -- 14. Applications of the Laplace transform -- V: Discrete transforms -- 15. Sampling of continuous-time signals -- 16. The discrete Fourier transform -- 17. The fast Fourier transform -- 18. The z-transform -- 19. Applications of discrete transforms. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Fourier transformations. |0 http://id.loc.gov/authorities/subjects/sh85051094 | |
| 650 | 0 | |a Laplace transformation. |0 http://id.loc.gov/authorities/subjects/sh85074666 | |
| 650 | 6 | |a Transformations de Fourier. | |
| 650 | 6 | |a Transformation de Laplace. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Fourier transformations |2 fast | |
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Datensatz im Suchindex
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| _version_ | 1813903357872439296 |
| adam_text | |
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| author2 | Beerends, R. J., 1958- |
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| contents | I: Applications and foundations -- 1. Signals and systems -- 2. Mathematical prerequisites -- II: Fourier series -- 3. Fourier series: definition and properties -- 4. The fundamental theorem of Fourier series -- 5. Application of Fourier series -- III: Fourier integrals and distributions -- 6. Fourier integrals: definition and properties -- 7. The fundamental theorem of the Fourier integral -- 8. Distributions -- 9. The Fourier transform of distributions -- 10. Applications of the Fourier integral -- IV: Laplace transforms -- 11. Complex functions -- 12. The Laplace transform: definition and properties -- 13. Further properties, distributions, and the fundamental theorem -- 14. Applications of the Laplace transform -- V: Discrete transforms -- 15. Sampling of continuous-time signals -- 16. The discrete Fourier transform -- 17. The fast Fourier transform -- 18. The z-transform -- 19. Applications of discrete transforms. |
| ctrlnum | (OCoLC)593333940 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.723 |
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| dewey-sort | 3515 3723 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-10-25T16:17:24Z |
| institution | BVB |
| isbn | 9780511675102 0511675100 9780511671852 0511671857 9780511806834 0511806833 1107131340 9781107131347 1283329409 9781283329408 0511673914 9780511673917 9786613329400 6613329401 0511670575 9780511670572 0511673124 9780511673122 |
| language | English Dutch |
| oclc_num | 593333940 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (x, 447 pages :) |
| psigel | ZDB-4-EBA |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Fourier en Laplace transformaties. English. Fourier and Laplace transforms / R.J. Beerends [and others] ; translated from Dutch by R.J. Beerends. Cambridge ; New York : Cambridge University Press, 2003. 1 online resource (x, 447 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. I: Applications and foundations -- 1. Signals and systems -- 2. Mathematical prerequisites -- II: Fourier series -- 3. Fourier series: definition and properties -- 4. The fundamental theorem of Fourier series -- 5. Application of Fourier series -- III: Fourier integrals and distributions -- 6. Fourier integrals: definition and properties -- 7. The fundamental theorem of the Fourier integral -- 8. Distributions -- 9. The Fourier transform of distributions -- 10. Applications of the Fourier integral -- IV: Laplace transforms -- 11. Complex functions -- 12. The Laplace transform: definition and properties -- 13. Further properties, distributions, and the fundamental theorem -- 14. Applications of the Laplace transform -- V: Discrete transforms -- 15. Sampling of continuous-time signals -- 16. The discrete Fourier transform -- 17. The fast Fourier transform -- 18. The z-transform -- 19. Applications of discrete transforms. Print version record. This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science. English. Fourier transformations. http://id.loc.gov/authorities/subjects/sh85051094 Laplace transformation. http://id.loc.gov/authorities/subjects/sh85074666 Transformations de Fourier. Transformation de Laplace. MATHEMATICS Functional Analysis. bisacsh Fourier transformations fast Laplace transformation fast Electronic books. Beerends, R. J., 1958- https://id.oclc.org/worldcat/entity/E39PCjCKCtRG8q4QGq7PGRGwP3 http://id.loc.gov/authorities/names/n2003010573 has work: Fourier and Laplace transforms (Text) https://id.oclc.org/worldcat/entity/E39PCGcq9rpHckFVXhmyXQj8JC https://id.oclc.org/worldcat/ontology/hasWork Print version: Fourier en Laplace transformaties. English. Fourier and Laplace transforms. Cambridge ; New York : Cambridge University Press, 2003 9780521806893 (DLC) 2003055187 (OCoLC)52424132 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=312509 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=312509 Volltext |
| spellingShingle | Fourier and Laplace transforms / I: Applications and foundations -- 1. Signals and systems -- 2. Mathematical prerequisites -- II: Fourier series -- 3. Fourier series: definition and properties -- 4. The fundamental theorem of Fourier series -- 5. Application of Fourier series -- III: Fourier integrals and distributions -- 6. Fourier integrals: definition and properties -- 7. The fundamental theorem of the Fourier integral -- 8. Distributions -- 9. The Fourier transform of distributions -- 10. Applications of the Fourier integral -- IV: Laplace transforms -- 11. Complex functions -- 12. The Laplace transform: definition and properties -- 13. Further properties, distributions, and the fundamental theorem -- 14. Applications of the Laplace transform -- V: Discrete transforms -- 15. Sampling of continuous-time signals -- 16. The discrete Fourier transform -- 17. The fast Fourier transform -- 18. The z-transform -- 19. Applications of discrete transforms. Fourier transformations. http://id.loc.gov/authorities/subjects/sh85051094 Laplace transformation. http://id.loc.gov/authorities/subjects/sh85074666 Transformations de Fourier. Transformation de Laplace. MATHEMATICS Functional Analysis. bisacsh Fourier transformations fast Laplace transformation fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85051094 http://id.loc.gov/authorities/subjects/sh85074666 |
| title | Fourier and Laplace transforms / |
| title_alt | Fourier en Laplace transformaties. English. |
| title_auth | Fourier and Laplace transforms / |
| title_exact_search | Fourier and Laplace transforms / |
| title_full | Fourier and Laplace transforms / R.J. Beerends [and others] ; translated from Dutch by R.J. Beerends. |
| title_fullStr | Fourier and Laplace transforms / R.J. Beerends [and others] ; translated from Dutch by R.J. Beerends. |
| title_full_unstemmed | Fourier and Laplace transforms / R.J. Beerends [and others] ; translated from Dutch by R.J. Beerends. |
| title_short | Fourier and Laplace transforms / |
| title_sort | fourier and laplace transforms |
| topic | Fourier transformations. http://id.loc.gov/authorities/subjects/sh85051094 Laplace transformation. http://id.loc.gov/authorities/subjects/sh85074666 Transformations de Fourier. Transformation de Laplace. MATHEMATICS Functional Analysis. bisacsh Fourier transformations fast Laplace transformation fast |
| topic_facet | Fourier transformations. Laplace transformation. Transformations de Fourier. Transformation de Laplace. MATHEMATICS Functional Analysis. Fourier transformations Laplace transformation Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=312509 |
| work_keys_str_mv | UT fourierenlaplacetransformaties AT beerendsrj fourierandlaplacetransforms |