Hilbert Transforms: Volume 1 (Encyclopedia of Mathematics and its Applications)
The Hilbert transform has many uses, including solving problems in aerodynamics, condensed matter physics, optics, fluids, and engineering. Written in a style that will suit a wide audience (including the physical sciences), this book will become the reference of choice on the topic, whatever the subject background of the reader.
Fundamentals of Electrical Engineering and Electronics
As one of the standard undergraduate texts in signals and linear systems theory, this manual is geared toward an advanced undergraduate student with a strong background in calculus and a previous introductory course in differential equations. The author uses a circuit analysis framework to introduce several key ideas such as state-space descriptions of differential and difference equations, Laplace and z-transforms, continuous-time and discrete-time Fourier transforms, and sampling, filtering, and modulation schemes.
This text is appropriate for students from across the engineering and science disciplines. Topics include: Periodicity and Fourier series; The Fourier transform and its basic properties; Convolution and its applications; Distributions and their Fourier transforms; Sampling and interpolation; Linear systems; The discrete Fourier transform; Higher dimensional Fourier transforms and applications.
This textbook describes in detail the various Fourier and Laplace transforms that are used to analyze problems in mathematics, the natural sciences and engineering. These transforms decompose complicated signals into elementary signals, and are widely used across the spectrum of science and engineering. Applications include electrical and mechanical networks, heat conduction and filters. In contrast with other books, continuous and discrete transforms are given equal coverage.
Intended for students of mathematics as well as of engineering, physical science, economics, business studies, and computer science, this handbook contains vital information and formulas for algebra, geometry, calculus, numerical methods, and statistics. Comprehensive tables of standard derivatives and integrals, together with the tables of Laplace, Fourier, and Z transforms are included. A spiral binding that allows the handbook to lay flat for easy reference enhances the user-friendly design.
