Fractional Calculus for Skeptics I: The Fractal Paradigm
West, Bruce J., Chen, Yangquan
- 出版商: CRC
- 出版日期: 2024-05-16
- 售價: $7,640
- 貴賓價: 9.5 折 $7,258
- 語言: 英文
- 頁數: 130
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1032741554
- ISBN-13: 9781032741550
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相關分類:
微積分 Calculus
海外代購書籍(需單獨結帳)
相關主題
商品描述
This book is the first of its kind on fractional calculus (FC), dedicated to advocating for FC in STEM education and research.
Fractional calculus is increasingly used today, but there remains a core population of skeptics regarding the utility of this "new" calculus. This book is intended for those who are skeptical about the need for fractional calculus to describe dynamic complex networks and must be convinced of its use on a case-by-case basis. It is a one-stop resource to rapidly read and replace the appropriate skepticism with new knowledge. It offers compelling reasons from the perspectives of the physical, social, and life sciences as to why fractional calculus is needed when addressing the complexity of an underlying STEM phenomenon. The six chapters are accompanied by useful and essential appendices and chapter-end references. Each includes new (fractional-order) ways of thinking about statistics, complexity dynamics, and what constitutes a solution to a complexity science problem.
The book will appeal to students and researchers in all STEM-related fields, such as engineering, physics, biology and biomedicine, climate change, big data, and machine learning. It is also suitable for general readers interested in these fields.
商品描述(中文翻譯)
這本書是首部專注於分數微積分（Fractional Calculus, FC）的著作，旨在倡導在STEM教育和研究中使用分數微積分。
分數微積分在當今的應用日益增多，但仍有一部分人對這種「新」微積分的實用性持懷疑態度。本書旨在針對那些對於使用分數微積分來描述動態複雜網絡的必要性持懷疑態度的人，並希望能夠逐案說服他們。本書是一個一站式資源，能夠快速閱讀並用新知識取代適當的懷疑。它從物理學、社會科學和生命科學的角度提供了令人信服的理由，說明在處理基礎STEM現象的複雜性時，為何需要分數微積分。六個章節附有有用且必要的附錄和章末參考資料。每個章節都包含了關於統計學、複雜性動態以及什麼構成複雜性科學問題解決方案的新（分數階）思考方式。
本書將吸引所有STEM相關領域的學生和研究人員，如工程學、物理學、生物學和生醫學、氣候變遷、大數據和機器學習。對於對這些領域感興趣的一般讀者來說，本書也非常適合。
作者簡介
Bruce J. West, a Physics PhD from the University of Rochester 1970, was the Chief Scientist in Mathematical and Information Science at the Army Research Office of the US, 1999-2021. His awards include the Presidential Meritorious Rank Award 2012 (Obama) and the Presidential Distinguished Rank Award 2017 (Trump).
YangQuan Chen, a Clarivate Highly Cited Researcher, earned his PhD from Nanyang Technological University, Singapore, in 1998. He is a professor at the School of Engineering, University of California, Merced. His research interests include smart control engineering via digital twins and applied fractional calculus in STEM.
作者簡介(中文翻譯)
布魯斯·J·韋斯特（Bruce J. West），1970年獲得羅切斯特大學（University of Rochester）物理學博士，曾於1999年至2021年擔任美國陸軍研究辦公室（Army Research Office）數學與資訊科學首席科學家。他的獎項包括2012年（歐巴馬）頒發的總統優異等級獎（Presidential Meritorious Rank Award）和2017年（特朗普）頒發的總統傑出等級獎（Presidential Distinguished Rank Award）。
陳揚全（YangQuan Chen），為Clarivate高被引研究者，1998年在新加坡南洋理工大學（Nanyang Technological University）獲得博士學位。他是加州大學默塞德分校（University of California, Merced）工程學院的教授。他的研究興趣包括透過數位雙胞胎進行的智慧控制工程以及在STEM領域應用的分數微積分。
