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Wen, China) Li,WeimingSun

Fourier Methods in Science and Engineering

Fourier Methods in Science and Engineering

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  • More about Fourier Methods in Science and Engineering

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

Format: Hardback
Length: 324 pages
Publication date: 21 November 2022
Publisher: Taylor & Francis Ltd


This groundbreaking book delves into the realm of generalized Fourier series, presenting a comprehensive exploration and practical application of this powerful tool to a diverse range of scientific and engineering problems. By providing a clear roadmap for utilizing Fourier methods as a solution technique, it equips readers with the skills to tackle a wide array of differential equations and boundary value problems with efficiency and precision.

The journey begins with an insightful overview of conventional Fourier series theory, laying the foundation for the subsequent discussions. The book then introduces the generalized Fourier series (GFS), highlighting its remarkable rate of convergence compared to traditional Fourier series expansions. Systematically, the GFS is presented as a versatile and unified solution method for ordinary differential equations (ODEs) and partial differential equations (PDEs), offering a powerful tool for tackling complex mathematical challenges.

To further enhance the reader's understanding, the book delves into representative boundary value problems, emphasizing their multiscale characteristics. By examining these problems in detail, readers gain a deeper appreciation of the applications of the GFS in diverse fields such as physics, chemistry, and engineering.

In conclusion, this book serves as a comprehensive resource for anyone seeking to master the generalized Fourier series and apply it to solve a wide range of mathematical problems. It is an essential read for researchers, engineers, and college students alike, as it provides the foundational knowledge necessary for advancing their understanding of complex mathematical concepts and their practical applications.

Weight: 626g
Dimension: 157 x 235 x 28 (mm)
ISBN-13: 9781032048420

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