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  3. Nonlinear Systems
  • Cited by 292
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 June 2012
      26 June 1992
      ISBN:
      9781139172455
      9780521406680
      DOI:
      https://doi.org/10.1017/CBO9781139172455
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.5kg, 352 Pages
      • Subjects:
      Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics, Mathematical Modeling and Methods
      Series:
      Cambridge Texts in Applied Mathematics (10)
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    • Selected: Digital
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    Subjects:
    Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics, Mathematical Modeling and Methods
    Series:
    Cambridge Texts in Applied Mathematics (10)
    Information

    Book description

    The theories of bifurcation, chaos and fractals as well as equilibrium, stability and nonlinear oscillations, are part of the theory of the evolution of solutions of nonlinear equations. A wide range of mathematical tools and ideas are drawn together in the study of these solutions, and the results applied to diverse and countless problems in the natural and social sciences, even philosophy. The text evolves from courses given by the author in the UK and the United States. It introduces the mathematical properties of nonlinear systems, mostly difference and differential equations, as an integrated theory, rather than presenting isolated fashionable topics. Topics are discussed in as concrete a way as possible and worked examples and problems are used to explain, motivate and illustrate the general principles. The essence of these principles, rather than proof or rigour, is emphasized. More advanced parts of the text are denoted by asterisks, and the mathematical prerequisites are limited to knowledge of linear algebra and advanced calculus, thus making it ideally suited to both senior undergraduates and postgraduates from physics, engineering, chemistry, meteorology etc. as well as mathematics.

    Reviews

    ‘ … contains an abundance of interesting problems … will be of immense value to anyone planning a course on the subject.’

    Source: The Times Higher Education Supplement

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