This book teaches basic and advanced concepts, new methodologies and recent developments in VLSI technology with a focus on low power design. It provides insight on how to use Tanner Spice, Cadence tools, Xilinx tools, VHDL programming and Synopsis to design simple and complex circuits using latest state-of-the art technologies. Emphasis is placed on fundamental transistor circuit-level design concepts.

Modelling with differential equations is an effective tool to provide methodical and quantitative solutions to real-world phenomena including investigating measurable features, consolidation and processing of data, and to design and develop complex engineering systems. This book describes differential equations correlation with qualitative and quantitative analysis, and mathematical modelling in the engineering and applied sciences. Given equations are explained from multidimensional characterizations with MATLAB codes. Features: Addresses differential equation-based approaches to solve varied engineering problems. Discusses derivation and solution of major equations of engineering and applied science. Reviews qualitative and quantitative (numerical) analysis and mathematical modelling. Includes mathematical models of the discussed problems. Discusses MATLAB code and online materials related to the differential equations. This book is aimed at researchers, graduate students in electrical and electronics engineering, control systems, electron devices society, applied physics, engineering design.