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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fourier, Laplace, and the tangled love affair with transforms/ by Sofen Kumar Jena.
其他題名:	the art of signal synthesis and analysis /
作者:	Jena, Sofen Kumar.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xx, 517 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Integral Transforms and Operational Calculus. -
電子資源:	https://doi.org/10.1007/978-3-031-80165-5
ISBN:	9783031801655

Fourier, Laplace, and the tangled love affair with transforms = the 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

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

1366597
Integral Transforms and Operational Calculus.

LC Class. No.: QA403.5

Dewey Class. No.: 515.723

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