This text is a high-level introduction to the modern theory of
dynamical systems; an analysis-based, pure mathematics course
textbook in the basic tools, techniques, theory and development of
both the abstract and the practical notions of mathematical
modelling, using both discrete and continuous concepts and examples
comprising what may be called the modern theory of dynamics.
Prerequisite knowledge is restricted to calculus, linear algebra
and basic differential equations, and all higher-level analysis,
geometry and algebra is introduced as needed within the text.
Following this text from start to finish will provide the careful
reader with the tools, vocabulary and conceptual foundation
necessary to continue in further self-study and begin to explore
current areas of active research in dynamical systems.
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