This book - perhaps the only of its kind - gives an all com-prehensive account of Dynamical Systems in a plainnontechnical language which is as rigorous as it can be madeat this introductory level. Starting from the first steps ofdifferential equations, on the assumption that readers onlyhave a modicus mathematical background, it quickly takesthem to nonlinear dynamical systems, Linearisation Theory, Limit Cycles, Gradient, Lagrangean and Hamiltonian DynamicalSystems as well as more advanced material such asBifurcation, Chaos, Catastrophes and Optimal DynamicalSystems. A chapter reviewing Linear Algebra makes the bookself-contained, and a chapter devoted to Applications inEconomics and Biology will improve readers' motivations.
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"This book is the most useful recent review of differential equation systems that I have seen. The exposition is clear, explicit and accurate. It strikes an effective balance between rigor and readability, arguing proofs for the simpler cases, but citing publications for the more complex." The Quarterly Review of Biology
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