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This multimedia book provides a comprehensive treatment of recently developed model-reduction algorithms and their application to analysis of high-speed circuits and interconnects. Starting with the fundamentals, the book unravels the mystery of model-reduction algorithms through dazzling animations and multimedia presentations. The topics cover the broad area of model-reduction algorithms, Asymptotic Waveform Evaluation (AWE) and Complex Frequency Hopping (CFH). The book also provides detailed coverage of macromodeling techniques, including the synthesis of differential equations from reduced-order models and also synthesis of SPICE compatible netlists from differential equations. The book starts with the basics of model-reduction algorithms, such as the concept of moments, Padé approximation and model-reduction issues (stability, passivity accuracy etc.) and proceeds to present the recent advances and their application to circuit/interconnect simulation. The material presented is accompanied with illustrative animations, reinforced with the audio. The book also provides literature reviews, numerous examples, and necessary relations/derivations. The book has been developed in an easy-to-understand style and with in-depth coverage. The material presented is useful for designers as well as to those interested in understanding model-order reduction and signal integrity issues in high-speed designs. The book is also useful to the math community where the complex issue of model-order reduction is presented in the most revealing form with the help of intense multimedia presentations. This CD based multimedia book contains approximately six hours of intense multimedia presentations.