Nonlinear Dynamics

Nonlinear DynamicsGeared toward advanced undergraduates and graduate students, this exposition covers the method of normal forms and its application to ordinary differential equations through perturbation analysis. In addition to its emphasis on the freedom inherent in the normal form expansion, the text features numerous examples of equations, the kind of which are encountered in many areas of science and engineering. The treatment begins with an introduction to the

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Standard Calculus and Sequences of Functions

quadratic forms and residue arithmetic and quadratic reciprocity and related theorems

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