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Mathematical Systems Theory I is written by Diederich Hinrichsen and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 3540441255 (ISBN 10) and 9783540441250 (ISBN 13).
This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.