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THEORY OF LINEAR PHYSICAL SYSTEMS: THEORY OF PHYSICAL SYSTEMS FROM THE VIEWPOINT OF CLASSICAL DYNAMICS, INCLUDING FOURIER METHODS

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Book Details

  • Author: Ernst Guillemin

  • Publisher: Dover

  • Language: English

  • Edition: Reprint Edition

  • ISBN: 9780486497747

  • Pages: 608

  • Cover: Paperback

  • Dimensions: 9.0 x 5.9 x 1.4 inches

About the Book

"Synthesis of Linear Systems" by Ernst Guillemin is an advanced and insightful treatise that takes upper-level undergraduates and graduate students beyond the basics of circuit theory into the deeper realms of network synthesis. Written by an eminent electrical engineer and authority in linear system theory, the book provides a detailed exploration of the topological and algebraic relations used to establish equilibrium equations and transformations between sets of variables.

The text delves into critical topics such as energy functions in both active and passive scenarios, as well as the key properties of impedance and other important characterizing functions. Guillemin also addresses the evaluation and prediction of approximation and truncation errors encountered when using numerical methods for direct and inverse Fourier transform evaluation. The book discusses the properties of partial sums and the interpretation of limit processes, offering a comprehensive understanding of these concepts.

What sets this work apart is its focus on the relationship between the Fourier and Laplace methods, linking them to classical dynamics. The evaluation of Fourier integrals is approached from a physical reasoning standpoint, making this book an invaluable tool for tackling specialized problems in network synthesis and classical dynamics. Ideal for those seeking a deeper, more rigorous understanding of electrical engineering and systems theory, this reprint edition remains a key reference for students and professionals in the field.