《为科学家和工程师的分数 calculus》(真PDF、EPUB)
In recent years fractional calculus has been rediscovered by scientists and engineers and applied in an increasing number of fields, such as electromagnetism, control engineering, and signal processing. The increase in the number of physical and engineering processes that are best described by fractional differential equations has motivated its study. This book gives a practical overview of Fractional Calculus as it relates to Signal Processing.� It is designed to be accessible by Scientists and Engineers mainly interested in applications, who do not want to spend too much time and effort to access to the main Fractional Calculus features and tools.� Readers can benefit from the attempt to present a Fractional Calculus foundation based of the Gr�nwald-Letnikov derivative, because it exhibits great coherence allowing deduction from it the other derivatives, which appear as a consequence of the Gr�nwald-Letnikov derivative properties and not as a prescription.
近年来,分数 calculus 已经被科学家和工程师重新发现,并且在越来越多的领域中应用,比如电磁学、控制工程和信号处理。随着物理和工程技术过程中最佳描述这些过程的分数微分方程数量的增加,引发了对分数 calculus 的研究兴趣。这本书为分数 calculus 作为一个信号处理领域的实用概览提供了介绍。它旨在主要针对那些对应用感兴趣且不愿花费太多时间和精力来了解分数 calculus 的基本特性和工具的科学家和工程师。读者可以从尝试以基于 Grünwald-Letnikov 导数为基础的分数 calculus 基础中获益,因为这种导数表现出极大的一致性,允许从它推导出其他导数,这些导数是作为Grünwald-Letnikov 导数特性的结果出现的,而不是作为一种命令。
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