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This book contains a detailed study of the most popular rearrangement of infinite series, exponential convergence and related functions and their applications, in particular, in generalized statistical and quasi-statistical convergence for single and double sequences of real and complex numbers. It is intended as a reference book for further work and research on rearrangement of series, summability and generalized statistical convergence in higher-dimensional sequence spaces. It can also be used for seminar work and master's and Ph.D. theses. The book is self-contained and comprehensive. It also provides the basic tools for researchers using directly or indirectly the notion of sequences and series and their convergence problems using modern summability methods. This book is intended for graduate students and researchers who have an interest in rearrangement of double series, sequence spaces, summability methods and their applications, functional analysis in particular, and summability theory in general.