Circuits, Matrices and Linear Vector Spaces - Couverture rigide

Livre 18 sur 28: Dover Books on Electrical Engineering

Huelsman, Lawrence Paul

 
9781258234249: Circuits, Matrices and Linear Vector Spaces

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Synopsis

""Circuits, Matrices and Linear Vector Spaces"" by Lawrence Paul Huelsman is a comprehensive text that covers the fundamental concepts of linear algebra and their applications in electrical engineering. The book begins with an introduction to matrix algebra and its properties, including determinants, inverses, and rank. It then moves on to linear systems of equations and their solutions, including Gaussian elimination and LU decomposition.The second part of the book covers linear vector spaces, including the concepts of linear independence, basis, and dimension. It also covers inner product spaces and their applications, including Fourier series and orthogonal projections. The final part of the book focuses on applications in electrical engineering, including circuit analysis, control systems, and signal processing.Throughout the book, the author provides numerous examples and exercises to help readers develop a deep understanding of the material. The book is suitable for undergraduate students in electrical engineering, as well as for self-study by professionals in the field.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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Présentation de l'éditeur

This high-level undergraduate text explains the mathematics behind basic circuit theory. Its self-contained treatment covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the author presents the basic theory of n-dimensional spaces and demonstrates its application to linear systems. A development of the mathematics of matrix algebra and determinants is followed by the application of matrix techniques to a general discussion of circuits. Subsequent topics include the properties of active and passive two-port devices, the basic theory of linear vector spaces, and the natural frequencies of a network. Appendixes cover the indefinite-transfer matrix, gyrators with complex gyration admittance, and network transformations. A wealth of equations and calculation problems appear throughout the text. Reprint of the McGraw-Hill Book Company Inc., New York, 1963 edition.

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