Differential equations: linear, nonlinear, ordinary, partial
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2003
|
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | 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 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 |
| Physical Description: | 1 Online-Ressource (xi, 541 pages) |
| ISBN: | 0511076746 0511078315 9780511076749 9780511078316 |
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MARC
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| 245 | 1 | 0 | |a Differential equations |b linear, nonlinear, ordinary, partial |c A.C. King, J. Billingham, and S.R. Otto |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2003 | |
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| 500 | |a Includes bibliographical references (pages 534-535) and index | ||
| 500 | |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 | ||
| 500 | |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 | ||
| 650 | 4 | |a Équations différentielles | |
| 650 | 7 | |a MATHEMATICS / Differential Equations / General |2 bisacsh | |
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| 700 | 1 | |a Billingham, J. |e Sonstige |4 oth | |
| 700 | 1 | |a Otto, S. R. |e Sonstige |4 oth | |
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| author | King, A. C. |
| author_facet | King, A. C. |
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| bvnumber | BV043068536 |
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| ctrlnum | (OCoLC)57511581 (DE-599)BVBBV043068536 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| isbn | 0511076746 0511078315 9780511076749 9780511078316 |
| language | English |
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| spelling | King, A. C. Verfasser aut Differential equations linear, nonlinear, ordinary, partial A.C. King, J. Billingham, and S.R. Otto Cambridge Cambridge University Press 2003 1 Online-Ressource (xi, 541 pages) txt rdacontent c rdamedia 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 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 Équations différentielles MATHEMATICS / Differential Equations / General bisacsh Equações diferenciais (análise;textos elementares) larpcal Equações diferenciais ordinárias (análise;textos elementares) larpcal Equações diferenciais parciais (análise;textos elementares) larpcal Sistemas dinâmicos larpcal Differentialgleichung swd Differential equations Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Billingham, J. Sonstige oth Otto, S. R. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=125101 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | King, A. C. Differential equations linear, nonlinear, ordinary, partial Équations différentielles MATHEMATICS / Differential Equations / General bisacsh Equações diferenciais (análise;textos elementares) larpcal Equações diferenciais ordinárias (análise;textos elementares) larpcal Equações diferenciais parciais (análise;textos elementares) larpcal Sistemas dinâmicos larpcal Differentialgleichung swd Differential equations Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4012249-9 |
| 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 | Équations différentielles MATHEMATICS / Differential Equations / General bisacsh Equações diferenciais (análise;textos elementares) larpcal Equações diferenciais ordinárias (análise;textos elementares) larpcal Equações diferenciais parciais (análise;textos elementares) larpcal Sistemas dinâmicos larpcal Differentialgleichung swd Differential equations Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Équations différentielles MATHEMATICS / Differential Equations / General Equações diferenciais (análise;textos elementares) Equações diferenciais ordinárias (análise;textos elementares) Equações diferenciais parciais (análise;textos elementares) Sistemas dinâmicos Differentialgleichung Differential equations |
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