| 书目名称 | Discrete Calculus | | 副标题 | Applied Analysis on | | 编辑 | Leo J. Grady,Jonathan R. Polimeni | | 视频video | | | 概述 | Presents a thorough review of discrete calculus, with a focus on key concepts required for successful application.Unifies many standard image processing algorithms into a common framework.Provides num | | 图书封面 |  | | 描述 | .The field of discrete calculus, also known as "discrete exterior calculus", focuses on finding a proper set of definitions and differential operators that make it possible to operate the machinery of multivariate calculus on a finite, discrete space. In contrast to traditional goals of finding an accurate .discretization. of conventional multivariate calculus, discrete calculus establishes a separate, equivalent calculus that operates purely in the discrete space without any reference to an underlying continuous process...This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Although there have been a few intersections in the literature between these disciplines, they have developed largely independently of one another, yet researchers working in any one of these three areas can strongly benefit from the tools and techniques being used in the others. Many example applications from several fields of computational science are provided to demonstrate the usefulness of this framework to a broad range of problems. Readers are assumed to be familiar with the basics of vecto | | 出版日期 | Book 2010 | | 关键词 | Analysis; Graph; Graph theory; algorithms; complex network; linear algebra; optimization | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-84996-290-2 | | isbn_softcover | 978-1-4471-5737-3 | | isbn_ebook | 978-1-84996-290-2 | | copyright | Springer-Verlag London Limited 2010 |
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发表于 2025-3-21 20:08:24
