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Luis Moura and Izzat Darwazeh introduce linear circuit modelling and analysis applied to both electrical and electronic circuits, starting with DC and progressing up to RF, considering noise analysis along the way.Avoiding the tendency of current textbooks to focus either on the basic electrical circuit analysis theory (DC and low frequency AC frequency range), on RF circuit analysis theory, or on noise analysis, the authors combine these subjects into the one volume to provide a comprehensive set of the main techniques for the analysis of electric circuits in these areas.

Electric circuit analysis. --- Electric circuits, Linear. --- Electric circuits, Linear.Electric circuit analysis.Electric circuits--Mathematical models. --- Electric circuits, Linear --- Electric circuit analysis --- Electric circuits --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Mathematical models --- Mathematical models. --- Circuits, Electric --- Circuit analysis, Electric --- Linear electric circuits --- Electric lines --- Electric network analysis --- Electrical engineering

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Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering and systems biology. DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential for the future mathematical modeling of complex coupled processes. The purpose of the book is to expose the impressive complexity of general DAEs from an analytical point of view, to describe the state of the art as well as open problems and in so doing to motivate further research of this versatile, extraordinary topic from a broader mathematical perspective. The book elaborates on a new general, structural analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of special projector functions. Some issues on numerical integration and computational aspects are also treated in this context. .

Differential equations. --- Differential-algebraic equations. --- Electric circuits -- Mathematical models. --- Quantum groups. --- Differential-algebraic equations --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Algebraic-differential equations --- Differential-algebraic systems --- Equations, Algebraic-differential --- Equations, Differential-algebraic --- Systems, Differential-algebraic --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Ordinary Differential Equations. --- Applications of Mathematics. --- Computational Mathematics and Numerical Analysis. --- Differential equations --- Differential Equations. --- Computer science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- 517.91 Differential equations --- Engineering --- Engineering analysis --- Mathematical analysis