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Fourier, Laplace, and the tangled love affair with transformsthe art of signal synthesis and analysis /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fourier, Laplace, and the tangled love affair with transformsby Sofen Kumar Jena.
Reminder of title:	the art of signal synthesis and analysis /
Author:	Jena, Sofen Kumar.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xx, 517 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fourier transformations.
Online resource:	https://doi.org/10.1007/978-3-031-80165-5
ISBN:	9783031801655$q(electronic bk.)

Fourier, Laplace, and the tangled love affair with transformsthe art of signal synthesis and analysis /
Jena, Sofen Kumar.

Fourier, Laplace, and the tangled love affair with transformsthe art of signal synthesis and analysis /[electronic resource] :by Sofen Kumar Jena. - Cham :Springer Nature Switzerland :2025. - xx, 517 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783031801655$q(electronic bk.)

Standard No.: 10.1007/978-3-031-80165-5doiSubjects--Topical Terms:

184270
Fourier transformations.

LC Class. No.: QA403.5

Dewey Class. No.: 515.723

Fourier, Laplace, and the tangled love affair with transformsthe art of signal synthesis and analysis /
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505 0 $a 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.
520 $a 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.
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