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Fourier Methods in Science and Engineering - Wen Li

Fourier Methods in Science and Engineering

By: Wen Li, Weiming Sun

eText | 21 November 2022 | Edition Number 1

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This innovative book discusses and applies the generalized Fourier Series to a variety of problems commonly encountered within science and engineering, equipping the readers with a clear pathway through which to use the Fourier methods as a solution technique for a wide range of differential equations and boundary value problems.

Beginning with an overview of the conventional Fourier series theory, this book introduces the generalized Fourier series (GFS), emphasizing its notable rate of convergence when compared to the conventional Fourier series expansions. After systematically presenting the GFS as a powerful and unified solution method for ordinary differential equations and partial differential equations, this book expands on some representative boundary value problems, diving into their multiscale characteristics.

This book will provide readers with the comprehensive foundation necessary for solving a wide spectrum of mathematical problems key to practical applications. It will also be of interest to researchers, engineers, and college students in various science, engineering, and mathematics fields.

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You Can Find This eBook In

Non-FictionEngineering & TechnologyMechanical Engineering & MaterialsMechanical EngineeringEnvironmental ScienceMathematicsCalculus & Mathematical AnalysisApplied MathematicsTechnology in GeneralMaths for EngineersOther Technologies & Applied SciencesAcoustic & Sound Engineering
Materials ScienceMechanics of SolidsDynamics & VibrationCivil EngineeringStructural EngineeringSciencePhysicsMathematical Physics

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Published: 28th September 2025

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