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Fourier, Laplace, and the Tangled Love Affair with Transforms : The Art of Signal Synthesis and Analysis / by Sofen Kumar Jena

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Cham : Springer Nature Switzerland, 2025Publisher: Cham : Imprint: Springer, 2025Edition: 1st ed. 2025Description: 1 Online-Ressource(XX, 517 p. 42 illus., 1 illus. in color.)ISBN:
  • 9783031801655
Subject(s): Additional physical formats: 9783031801648 | 9783031801662 | 9783031801679 | Erscheint auch als: 9783031801648 Druck-Ausgabe | Erscheint auch als: 9783031801662 Druck-Ausgabe | Erscheint auch als: 9783031801679 Druck-AusgabeDDC classification:
  • 621.3822 23
DOI: DOI: 10.1007/978-3-031-80165-5Online resources: Summary: Introduction -- Historical Development of The Subject -- Signals & Systems -- Fourier Series -- Fourier Analysis -- Fourier Transforms of Generalized Functions -- The Laplace Transform -- Discrete Fourier Transform -- Convolution, Cross-correlation & Stochastic Analysis -- Linear Systems -- Z Transform -- Higher Dimensional Fourier Analysis -- Fourier Analysis for The Solution of Differential and Integral -- Equations -- Conclusion.Summary: Unlock the intricate language of signals and systems with this in-depth exploration of Fourier and Laplace transforms. Designed for advanced undergraduates, graduate students, and professionals in engineering, physics, and applied mathematics, this book unravels the foundations of signal processing with a rigorous yet engaging approach. Beginning with the fundamentals and building to advanced topics, each chapter guides you through the Fourier series, Fourier, and Laplace transform and into the realms of discrete Fourier and Z transforms, multi-dimensional analysis, and applications of the Fourier Transform in solving PDE, ODE, and Integral equations. The text brings mathematical theory to life through real-world applications in signal synthesis, systems engineering, and differential equations, making complex topics accessible and inspiring. With its unique blend of historical insights, practical applications, and intuitive explanations, this book offers a comprehensive yet approachable journey into the world of transforms. Whether you're a student building your foundation or a professional seeking to deepen your expertise, this book invites you to discover the elegance and utility of transforms in a way that bridges theory with the demands of modern engineering and science.PPN: PPN: 1916870260Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-ENG | ZDB-2-SXE
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