This book is aimed at offering some insight into the dynamics of evolutionary algorithms, which are primarily stochastic heuristic schemes. Since the comprehensive theoretical formulation encompassing the entire spectrum of evolutionary schemes is difficult, if not impossible, the present treatise may be viewed as an effort to make mathematical chracterization of the dynamics of some restricted class of evolutionary algorithms. Naturally, the endeavour can further be extended to incorporate even wider class of evolutionary algorithms. In that sense, this treatment may be viewed as the beginning of theorization of the dynamics of such class of probabilistic heuristics. As such, the authors intend to dedicate this book to this community to invite them in such efforts. However, the authors are also engaged in extending their present work further. An appreciation from the readership, even if critical, will be treated as of immense help in their future effort.