Introduction to Applied Mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1988
|
| Schriftenreihe: | Text in Applied Mathematics
1 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | From the Preface: "The material in this book is based on notes for a course which I gave several times at Brown University. The target of the course was juniors and seniors majoring in applied mathematics, engineering and other sciences. My basic goal in the course was to teach standard methods, or what I regard as a basic "bag of tricks". In my opinion the material contained here, for the most part, does not depart widely from traditional subject matter. One such departure is the discussion of discrete linear systems. Besides being interesting in its own right, this topic is included because the treatment of such systems leads naturally to the use of discrete Fourier series, discrete Fourier transforms, and their extension, the Z-transform. On making the transition to continuous systems we derive their continuous analogues, viz., Fourier series, Fourier transforms, Fourier integrals and Laplace transforms. A main advantage to the approach taken is that a wide variety of techniques are seen to result from one or two very simple but central ideas. Above all, this course is intended as being one which gives the student a "can-do" frame of mind about mathematics. Students should be given confidence in using mathematics and not be made fearful of it. I have, therefore, forgone the theorem-proof format for a more informal style. Finally, a concerted effort was made to present an assortment of examples from diverse applications with the hope of attracting the interest of the student, and an equally dedicated effort was made to be kind to the reader." |
| Beschreibung: | 1 Online-Ressource (XII, 370 p) |
| ISBN: | 9781461245803 9781461289326 |
| ISSN: | 0939-2475 |
| DOI: | 10.1007/978-1-4612-4580-3 |
Internformat
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Sirovich, L. 1933- |
| author_GND | (DE-588)1145536263 |
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| author_role | aut |
| author_sort | Sirovich, L. 1933- |
| author_variant | l s ls |
| building | Verbundindex |
| bvnumber | BV042420319 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863912026 (DE-599)BVBBV042420319 |
| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1 |
| dewey-search | 530.1 |
| dewey-sort | 3530.1 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4580-3 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:06Z |
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| isbn | 9781461245803 9781461289326 |
| issn | 0939-2475 |
| language | English |
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| spelling | Sirovich, L. 1933- Verfasser (DE-588)1145536263 aut Introduction to Applied Mathematics by Lawrence Sirovich New York, NY Springer New York 1988 1 Online-Ressource (XII, 370 p) txt rdacontent c rdamedia cr rdacarrier Text in Applied Mathematics 1 0939-2475 From the Preface: "The material in this book is based on notes for a course which I gave several times at Brown University. The target of the course was juniors and seniors majoring in applied mathematics, engineering and other sciences. My basic goal in the course was to teach standard methods, or what I regard as a basic "bag of tricks". In my opinion the material contained here, for the most part, does not depart widely from traditional subject matter. One such departure is the discussion of discrete linear systems. Besides being interesting in its own right, this topic is included because the treatment of such systems leads naturally to the use of discrete Fourier series, discrete Fourier transforms, and their extension, the Z-transform. On making the transition to continuous systems we derive their continuous analogues, viz., Fourier series, Fourier transforms, Fourier integrals and Laplace transforms. A main advantage to the approach taken is that a wide variety of techniques are seen to result from one or two very simple but central ideas. Above all, this course is intended as being one which gives the student a "can-do" frame of mind about mathematics. Students should be given confidence in using mathematics and not be made fearful of it. I have, therefore, forgone the theorem-proof format for a more informal style. Finally, a concerted effort was made to present an assortment of examples from diverse applications with the hope of attracting the interest of the student, and an equally dedicated effort was made to be kind to the reader." Physics Chemistry / Mathematics Engineering Theoretical, Mathematical and Computational Physics Math. Applications in Chemistry Computational Intelligence Mathematical and Computational Biology Chemie Ingenieurwissenschaften Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Komplexe Zahl (DE-588)4128698-4 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Angewandte Mathematik (DE-588)4142443-8 s 2\p DE-604 Analysis (DE-588)4001865-9 s 3\p DE-604 Komplexe Zahl (DE-588)4128698-4 s 4\p DE-604 Harmonische Analyse (DE-588)4023453-8 s 5\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 6\p DE-604 https://doi.org/10.1007/978-1-4612-4580-3 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sirovich, L. 1933- Introduction to Applied Mathematics Physics Chemistry / Mathematics Engineering Theoretical, Mathematical and Computational Physics Math. Applications in Chemistry Computational Intelligence Mathematical and Computational Biology Chemie Ingenieurwissenschaften Mathematik Analysis (DE-588)4001865-9 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Harmonische Analyse (DE-588)4023453-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Komplexe Zahl (DE-588)4128698-4 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4142443-8 (DE-588)4023453-8 (DE-588)4044779-0 (DE-588)4128698-4 (DE-588)4143389-0 |
| title | Introduction to Applied Mathematics |
| title_auth | Introduction to Applied Mathematics |
| title_exact_search | Introduction to Applied Mathematics |
| title_full | Introduction to Applied Mathematics by Lawrence Sirovich |
| title_fullStr | Introduction to Applied Mathematics by Lawrence Sirovich |
| title_full_unstemmed | Introduction to Applied Mathematics by Lawrence Sirovich |
| title_short | Introduction to Applied Mathematics |
| title_sort | introduction to applied mathematics |
| topic | Physics Chemistry / Mathematics Engineering Theoretical, Mathematical and Computational Physics Math. Applications in Chemistry Computational Intelligence Mathematical and Computational Biology Chemie Ingenieurwissenschaften Mathematik Analysis (DE-588)4001865-9 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Harmonische Analyse (DE-588)4023453-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Komplexe Zahl (DE-588)4128698-4 gnd |
| topic_facet | Physics Chemistry / Mathematics Engineering Theoretical, Mathematical and Computational Physics Math. Applications in Chemistry Computational Intelligence Mathematical and Computational Biology Chemie Ingenieurwissenschaften Mathematik Analysis Angewandte Mathematik Harmonische Analyse Partielle Differentialgleichung Komplexe Zahl Aufgabensammlung |
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