An Episode in the History of Celestial Mechanics and Its Utility in the Teaching of Applied Mathematics

1995 ◽  
pp. 267-278
Author(s):  
Eric J. Aiton
Keyword(s):  
Celestial Mechanics ◽  
Applied Mathematics ◽  
History Of

Remarks about the history of celestial mechanics

1970 ◽  
Vol 2 (3) ◽  
pp. 424-434
Author(s):  
O. Volk
Keyword(s):  
Celestial Mechanics ◽  
History Of

scholarly journals Stokes at 200: a celebration of the remarkable achievements of Sir George Gabriel Stokes two hundred years after his birth

2020 ◽  
Vol 378 (2174) ◽  
pp. 20190505
Author(s):  
Silvana S. S. Cardoso ◽  
Julyan H. E. Cartwright ◽  
Herbert E. Huppert ◽  
Christopher Ness
Keyword(s):  
Royal Society ◽  
State Of The Art ◽  
Applied Mathematics ◽  
The State ◽  
Theme Issue ◽  
Research Fields ◽  
History Of ◽  
And Mathematics

Sir George Gabriel Stokes PRS was for 30 years an inimitable Secretary of the Royal Society and its President from 1885 to 1890. Two hundred years after his birth, Stokes is a towering figure in physics and applied mathematics; fluids, asymptotics, optics, acoustics among many other fields. At the Stokes 200 meeting, held at Pembroke College, Cambridge from 15–18th September 2019, an invited audience of about 100 discussed the state of the art in all the modern research fields that have sprung from his work in physics and mathematics, along with the history of how we have got from Stokes’ contributions to where we are now. This theme issue is based on work presented at the Stokes 200 meeting. In bringing together people whose work today is based upon Stokes’ own, we aim to emphasize his influence and legacy at 200 to the community as a whole. This article is part of the theme issue ‘Stokes at 200 (Part 1)’.

George Batchelor and David Crighton: a celebration of their lives and work

2010 ◽  
Vol 663 ◽  
pp. 1-1
Author(s):  
Grae Worster
Keyword(s):  
Applied Mathematics ◽  
Associate Editor ◽  
Research Area ◽  
Theoretical Physics ◽  
University Of Cambridge ◽  
History Of ◽  
Insight Into

The tenth anniversaries of the deaths of George Batchelor and David Crighton occurred, respectively, in March and April this year. In commemoration and celebration of their lives and works, an afternoon of talks was held in the Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge on 19 April 2010. Three of those talks are summarised here: Keith Moffatt and Shon Ffowcs-Williams give impressions of the lives and spirits of these two prominent figures in the history of Jfm – George its founder and David its Editor from 1996, having been an associate editor since 1979; John Hinch gives insight into MicroHydrodynamics, a term coined by George to describe the research area that dominated the second half of his career.

Book Reviews: J.C. Adams, Cambridge and Neptune

1996 ◽  
Vol 50 (2) ◽  
pp. 245-248
Keyword(s):  
Celestial Mechanics ◽  
History Of Astronomy ◽  
Time And Space ◽  
History Of

H.M. Harrison, Voyager in Time and Space: The life of John Couch Adams, Cambridge Astronomer . The Book Guild Ltd, Sussex, 1994. Pp. 282, £15.00 (Hardbound ISBN 0-86332-918-7). John Couch Adams (1819-1892), Lowndean Professor of Astronomy and Geometry at Cambridge (1858-1892) and Director of the Cambridge Observatory (1861-1892), is unfortunately remembered more for what he did not do than for what he did. Adams did not win the celestial mechanics race that led to the discovery of the planet Neptune. He was pipped at the post by the Frenchman Urbain Jean Joseph Le Verrier. It is one of the consistent features of history, and the history of astronomy is no exception, that those who come second generally sink into obscurity. The reviewer of Voyager in Time and Space is thus confronted with two questions. Should Adams be rescued from obscurity, and does Harrison’s biography help towards the accomplishment of this task? Let me now explain why I answer ‘no’ to both questions.

scholarly journals Academician A. N. Krylov’s works in astronomy, mechanics, applied mathematics and history of science

2016 ◽  
Vol 3 (61) (2) ◽  
pp. 324-334
Author(s):  
Konstantin V. Kholshevnikov ◽  
◽  
Elena N. Polyakhova ◽  
Vladimir S. Korolev ◽  
◽  
...  
Keyword(s):  
History Of Science ◽  
Applied Mathematics ◽  
History Of

Modern statistical estimation via oracle inequalities

Acta Numerica ◽  
2006 ◽  
Vol 15 ◽  
pp. 257-325 ◽  
Author(s):  
Emmanuel J. Candès
Keyword(s):  
Statistical Estimation ◽  
Applied Mathematics ◽  
Theoretical Computer Science ◽  
Efficient Estimation ◽  
Oracle Inequalities ◽  
Theoretical Computer ◽  
Survey Paper ◽  
Applied Harmonic Analysis ◽  
Potential Applications ◽  
History Of

A number of fundamental results in modern statistical theory involve thresholding estimators. This survey paper aims at reconstructing the history of how thresholding rules came to be popular in statistics and describing, in a not overly technical way, the domain of their application. Two notions play a fundamental role in our narrative: sparsity and oracle inequalities. Sparsity is a property of the object to estimate, which seems to be characteristic of many modern problems, in statistics as well as applied mathematics and theoretical computer science, to name a few. ‘Oracle inequalities’ are a powerful decision-theoretic tool which has served to understand the optimality of thresholding rules, but which has many other potential applications, some of which we will discuss.Our story is also the story of the dialogue between statistics and applied harmonic analysis. Starting with the work of Wiener, we will see that certain representations emerge as being optimal for estimation. A leitmotif throughout our exposition is that efficient representations lead to efficient estimation.

Introduction

2006 ◽  
Author(s):  
Ulf Grenander ◽  
Michael I. Miller
Keyword(s):  
Computer Vision ◽  
Computational Linguistics ◽  
Applied Mathematics ◽  
General Pattern ◽  
Natural World ◽  
Practical Applications ◽  
Pattern Theory ◽  
Algebraic Framework ◽  
History Of ◽  
Mathematical Formalization

This book is to be an accessible book on patterns, their representation, and inference. There are a small number of ideas and techniques that, when mastered, make the subject more accessible. This book has arisen from ten years of a research program which the authors have embarked upon, building on the more abstract developments of metric pattern theory developed by one of the authors during the 1970s and 1980s. The material has been taught over multiple semesters as part of a second year graduate-level course in pattern theory, essentially an introduction for students interested in the representation of patterns which are observed in the natural world. The course has attracted students studying biomedical engineering, computer science, electrical engineering, and applied mathematics interested in speech recognition and computational linguistics, as well as areas of image analysis, and computer vision. Now the concept of patterns pervades the history of intellectual endeavor; it is one of the eternal followers in human thought. It appears again and again in science, taking on different forms in the various disciplines, and made rigorous through mathematical formalization. But the concept also lives in a less stringent form in the humanities, in novels and plays, even in everyday language. We use it all the time without attributing a formal meaning to it and yet with little risk of misunderstanding. So, what do we really mean by a pattern? Can we define it in strictly logical terms? And if we can, what use can we make of such a definition? These questions were answered by General Pattern Theory, a discipline initiated by Ulf Grenander in the late 1960s [1–5]. It has been an ambitious effort with the only original sketchy program having few if any practical applications, growing in mathematical maturity with a multitude of applications having appeared in biology/medicine and in computer vision, in language theory and object recognition, to mention but a few. Pattern theory attempts to provide an algebraic framework for describing patterns as structures regulated by rules, essentially a finite number of both local and global combinatory operations. Pattern theory takes a compositional view of the world, building more and more complex structures starting from simple ones. The basic rules for combining and building complex patterns from simpler ones are encoded via graphs and rules on transformation of these graphs.

Earth And Heaven, 1750-1800: Enlightenment Ideas About The Relevance To Geology Of Extraterrestrial Operations And Events

1998 ◽  
Vol 17 (2) ◽  
pp. 84-91 ◽  
Author(s):  
Kenneth Taylor
Keyword(s):  
Natural History ◽  
Celestial Mechanics ◽  
Empirical Investigation ◽  
Earth Science ◽  
Geological Investigation ◽  
The Earth ◽  
History Of ◽  
Geological Science ◽  
The Ideal

A conceptual and methodological tension can be discerned among Enlightenment advocates of earth science, as regards extraterrestrial events and processes. True to the fundamental traditions of Theories of the Earth, many scientific thinkers exhibited clear recognition of the Earth's planetary status, as a member of a celestial family. To some this legitimated integration of a geological perspective into that of cosmology and astronomy. In extreme instances it even entailed an ideal of establishing earth science by deduction from principles of celestial mechanics. However, this integrative aspect of Theories of the Earth ran counter to another important element in the geological thinking of this era, one which asserted the overriding value of empirical investigation. In the minds of many empirical-minded champions of a natural history of the Earth, a true geology could only be built up through inductive discovery focussed exclusively on accessible terrestrial phenomena. Sometimes explicitly, often by merely tacit exclusion of extraterrestrial considerations, much geological investigation before 1800 tended to identify the integrity of the emerging science with the distinctively Earth-bound nature of the objects of study. The ideal of an autonomous geological science thus tended to be intertwined with a concept of terrestrial autonomy.

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