The Voyage from Vortex to Helicity (1517 - 1969): A Brief History
暫譯: 從渦旋到螺旋的航程（1517 - 1969）：簡史
Shi, John Z.
- 出版商: Springer
- 出版日期: 2026-05-29
- 售價: $2,640
- 貴賓價: 9.5 折 $2,508
- 語言: 英文
- 頁數: 104
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3032178525
- ISBN-13: 9783032178527
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相關分類:
工程數學 Engineering-mathematics
海外代購書籍(需單獨結帳)
相關主題
商品描述
This book in a single contribution for the first time examines the historical development of the concepts of vortex, vorticity, knot, chirality, and helicity between 1517 and 1969. It considers their origins in early pictorial and conceptual studies, their subsequent formalization in mathematical analysis, and their eventual consolidation as interconnected elements within fluid mechanics, mathematical physics, geophysics, and astrophysics.
Attention is given to the progression from qualitative representations to formal definitions, including the emergence of vorticity, curl, and the gradient operator, as well as to the introduction of knot, chirality, and helicity as new means of describing physical and geometrical structure. The discussion emphasizes the extent to which these notions evolved in parallel, with recurring intersections between geometry, physics, and analysis.
The volume is intended for undergraduate and postgraduate students and researchers in applied mathematics, fluid mechanics, dynamo theory, topology, knot theory, geophysics, astrophysics, and the history of mathematical physics.
商品描述(中文翻譯)
這本書首次以單一貢獻的方式探討了1517年至1969年間，渦流（vortex）、渦度（vorticity）、結（knot）、手性（chirality）和螺旋性（helicity）概念的歷史發展。它考慮了這些概念在早期圖像和概念研究中的起源，隨後在數學分析中的正式化，以及最終作為流體力學、數學物理學、地球物理學和天體物理學中相互關聯的元素的鞏固。
本書關注從定性表徵到正式定義的進展，包括渦度、旋度（curl）和梯度運算子（gradient operator）的出現，以及結、手性和螺旋性作為描述物理和幾何結構的新方法的引入。討論強調了這些概念在幾何學、物理學和分析之間的相互交織和並行演變的程度。
本書適合應用數學、流體力學、發電機理論、拓撲學、結理論、地球物理學、天體物理學以及數學物理歷史的本科生和研究生及研究人員。
作者簡介
John Z. Shi obtained a Bachelor of Science (B.Sc.) from the University of Nanjing in 1986 and was awarded a Sino-British Friendship Scholarship Scheme in 1987, subsequently gaining a Doctor of Philosophy (Ph.D.) from the University of Wales in 1992. He became a Full Professor at Shanghai Jiao Tong University in 1998 and was a recipient of the National Science Fund for Distinguished Young Scholars awarded by the National Natural Science Foundation of China in 2002. He was appointed a Distinguished Professor at the School of Ocean and Civil Engineering, Shanghai Jiao Tong University, China, in 2009. He spent two Michaelmas terms in 2012 and 2019 at the G.K. Batchelor Laboratory, the Department of Applied Mathematics and Theoretical Physics, the University of Cambridge, U.K. He was awarded a Senior Visitor by Emmanuel College Cambridge in 2019 and was elected a Visiting Fellow at Wolfson College Cambridge in 2019. His field of research is in environmental fluid mechanics with a focus on vortex and small-scale turbulence in the atmosphere and ocean. He is currently a Member of Editorial Board of Environmental Fluid Mechanics.
作者簡介(中文翻譯)
約翰·Z·史（John Z. Shi）於1986年獲得南京大學的理學士（B.Sc.），並於1987年獲得中英友誼獎學金，隨後於1992年獲得威爾士大學的哲學博士（Ph.D.）。他於1998年成為上海交通大學的正教授，並於2002年獲得中國國家自然科學基金委頒發的傑出青年科學基金。2009年，他被任命為上海交通大學海洋與土木工程學院的特聘教授。他於2012年和2019年在英國劍橋大學應用數學與理論物理系的G.K. Batchelor實驗室度過了兩個麥克馬斯學期。他於2019年獲得劍橋伊曼紐爾學院的高級訪客資格，並於2019年當選為劍橋沃爾夫森學院的訪問研究員。他的研究領域為環境流體力學，專注於大氣和海洋中的渦流及小尺度湍流。目前，他是《環境流體力學》期刊的編輯委員會成員。
