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Record Nr. |
UNINA9910465198803321 |
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Autore |
Robinson James C (James Cooper), <1969-> |
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Titolo |
An introduction to ordinary differential equations / / James C. Robinson [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2004 |
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ISBN |
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1-107-14689-5 |
1-139-63704-5 |
0-511-16598-6 |
0-511-16483-1 |
0-511-80120-3 |
0-511-56639-5 |
0-511-16403-3 |
0-521-53391-0 |
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Descrizione fisica |
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1 online resource (xiv, 399 pages) : digital, PDF file(s) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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First order differential equations -- Second order linear equations with constant coefficients -- Linear second order equations with variable coefficients -- Numerical methods and difference equations -- Coupled linear equations -- Coupled nonlinear equations. |
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Sommario/riassunto |
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This refreshing, introductory textbook covers both standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigorous; it can be used either for 1-term or 1-semester courses. Topics such as Euler's method, difference equations, the dynamics of the logistic map, and the Lorenz equations, demonstrate the vitality of the subject, and provide pointers to further study. The author also encourages a graphical approach to the equations and their solutions, and to that end the book is profusely illustrated. The files to produce the figures using MATLAB are all provided in an accompanying website. Numerous worked examples provide motivation for and illustration of key ideas and show how to |
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