Differential equations :: linear, nonlinear, ordinary, partial /
The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad cover...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2003.
|
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad coverage, and clear and concise presentation will appeal to undergraduates. |
| Beschreibung: | 1 online resource (xi, 541 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 534-535) and index. |
| ISBN: | 0511078315 9780511078316 0511076746 9780511076749 9780511755293 0511755295 9780521816588 0521816580 6612387076 9786612387074 1107134501 9781107134508 0511643233 9780511643231 1282387073 9781282387072 0511203152 9780511203152 0511561784 9780511561788 9780521016872 0521016878 |
Internformat
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| 100 | 1 | |a King, A. C. | |
| 245 | 1 | 0 | |a Differential equations : |b linear, nonlinear, ordinary, partial / |c A.C. King, J. Billingham, and S.R. Otto. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2003. | ||
| 300 | |a 1 online resource (xi, 541 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 504 | |a Includes bibliographical references (pages 534-535) and index. | ||
| 505 | 0 | |a Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad coverage, and clear and concise presentation will appeal to undergraduates. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Differential equations. |0 http://id.loc.gov/authorities/subjects/sh85037890 | |
| 650 | 6 | |a Équations différentielles. | |
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| 650 | 7 | |a Differential equations |2 fast | |
| 650 | 7 | |a Differentialgleichung |2 gnd | |
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| 650 | 7 | |a Equações diferenciais ordinárias (análise;textos elementares) |2 larpcal | |
| 650 | 7 | |a Equações diferenciais parciais (análise;textos elementares) |2 larpcal | |
| 650 | 7 | |a Sistemas dinâmicos. |2 larpcal | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Billingham, J. | |
| 700 | 1 | |a Otto, S. R. |q (Stephen Robert) |1 https://id.oclc.org/worldcat/entity/E39PCjBfYxJPbDgpYgt7t68Ttq |0 http://id.loc.gov/authorities/names/n2002014046 | |
| 758 | |i has work: |a Differential equations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGF7vPdXt44HDk3mXkHkCP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocm57511581 |
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| _version_ | 1829094592225476608 |
| adam_text | |
| any_adam_object | |
| author | King, A. C. |
| author2 | Billingham, J. Otto, S. R. (Stephen Robert) |
| author2_role | |
| author2_variant | j b jb s r o sr sro |
| author_GND | http://id.loc.gov/authorities/names/n2002014046 |
| author_facet | King, A. C. Billingham, J. Otto, S. R. (Stephen Robert) |
| author_role | |
| author_sort | King, A. C. |
| author_variant | a c k ac ack |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA371 |
| callnumber-raw | QA371 .K52 2003eb |
| callnumber-search | QA371 .K52 2003eb |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 500 |
| classification_tum | MAT 350f MAT 340f |
| collection | ZDB-4-EBA |
| contents | Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems. |
| ctrlnum | (OCoLC)57511581 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | Electronic books. |
| genre_facet | Electronic books. |
| id | ZDB-4-EBA-ocm57511581 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:35:34Z |
| institution | BVB |
| isbn | 0511078315 9780511078316 0511076746 9780511076749 9780511755293 0511755295 9780521816588 0521816580 6612387076 9786612387074 1107134501 9781107134508 0511643233 9780511643231 1282387073 9781282387072 0511203152 9780511203152 0511561784 9780511561788 9780521016872 0521016878 |
| language | English |
| oclc_num | 57511581 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 541 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge University Press, |
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| spelling | King, A. C. Differential equations : linear, nonlinear, ordinary, partial / A.C. King, J. Billingham, and S.R. Otto. Cambridge ; New York : Cambridge University Press, 2003. 1 online resource (xi, 541 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 534-535) and index. Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems. Print version record. The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad coverage, and clear and concise presentation will appeal to undergraduates. English. Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Équations différentielles. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Differentialgleichung gnd Equações diferenciais (análise;textos elementares) larpcal Equações diferenciais ordinárias (análise;textos elementares) larpcal Equações diferenciais parciais (análise;textos elementares) larpcal Sistemas dinâmicos. larpcal Electronic books. Billingham, J. Otto, S. R. (Stephen Robert) https://id.oclc.org/worldcat/entity/E39PCjBfYxJPbDgpYgt7t68Ttq http://id.loc.gov/authorities/names/n2002014046 has work: Differential equations (Text) https://id.oclc.org/worldcat/entity/E39PCGF7vPdXt44HDk3mXkHkCP https://id.oclc.org/worldcat/ontology/hasWork Print version: King, A.C. Differential equations. Cambridge ; New York : Cambridge University Press, 2003 0521816580 0521016878 (DLC) 2002073457 (OCoLC)49936220 |
| spellingShingle | King, A. C. Differential equations : linear, nonlinear, ordinary, partial / Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems. Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Équations différentielles. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Differentialgleichung gnd Equações diferenciais (análise;textos elementares) larpcal Equações diferenciais ordinárias (análise;textos elementares) larpcal Equações diferenciais parciais (análise;textos elementares) larpcal Sistemas dinâmicos. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037890 |
| title | Differential equations : linear, nonlinear, ordinary, partial / |
| title_auth | Differential equations : linear, nonlinear, ordinary, partial / |
| title_exact_search | Differential equations : linear, nonlinear, ordinary, partial / |
| title_full | Differential equations : linear, nonlinear, ordinary, partial / A.C. King, J. Billingham, and S.R. Otto. |
| title_fullStr | Differential equations : linear, nonlinear, ordinary, partial / A.C. King, J. Billingham, and S.R. Otto. |
| title_full_unstemmed | Differential equations : linear, nonlinear, ordinary, partial / A.C. King, J. Billingham, and S.R. Otto. |
| title_short | Differential equations : |
| title_sort | differential equations linear nonlinear ordinary partial |
| title_sub | linear, nonlinear, ordinary, partial / |
| topic | Differential equations. http://id.loc.gov/authorities/subjects/sh85037890 Équations différentielles. MATHEMATICS Differential Equations General. bisacsh Differential equations fast Differentialgleichung gnd Equações diferenciais (análise;textos elementares) larpcal Equações diferenciais ordinárias (análise;textos elementares) larpcal Equações diferenciais parciais (análise;textos elementares) larpcal Sistemas dinâmicos. larpcal |
| topic_facet | Differential equations. Équations différentielles. MATHEMATICS Differential Equations General. Differential equations Differentialgleichung Equações diferenciais (análise;textos elementares) Equações diferenciais ordinárias (análise;textos elementares) Equações diferenciais parciais (análise;textos elementares) Sistemas dinâmicos. Electronic books. |
| work_keys_str_mv | AT kingac differentialequationslinearnonlinearordinarypartial AT billinghamj differentialequationslinearnonlinearordinarypartial AT ottosr differentialequationslinearnonlinearordinarypartial |