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Hertz on the Hamilton formalism

JESPER LÜTZEN

in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.003.0023
Subject:
Physics, History of Physics

In the introduction to his book Principles of Mechanics, Heinrich Hertz emphasised that one of the advantages of his geometric formulation of his mechanics is that it throws a bright light upon ... More


Mathematicians on the geometrization of the Hamilton–Jacobi formalism

JESPER LÜTZEN

in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.003.0024
Subject:
Physics, History of Physics

It has long since been remarked by mathematicians that William Rowan Hamilton's method contains purely geometrical truths, and that a peculiar mode of expression, suitable to it, is required in order ... More


Hamilton and Green

Jennifer Coopersmith

in Energy, the Subtle Concept: The discovery of Feynman's blocks from Leibniz to Einstein

Published in print:
2015
Published Online:
August 2015
ISBN:
9780198716747
eISBN:
9780191800955
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198716747.003.0013
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, History of Physics

The unknown George Green, from Nottingham, self-published An Essay on the Mathematical Analysis of Electricity and Magnetism, in which the potential function, V, was defined for the first time. The ... More


Stellar Revisions

Thomas Owens

in Wordsworth, Coleridge, and 'the language of the heavens'

Published in print:
2019
Published Online:
July 2019
ISBN:
9780198840862
eISBN:
9780191876479
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198840862.003.0004
Subject:
Literature, 19th-century Literature and Romanticism, Poetry

Chapter 4 scrutinizes a sequence of changes that Wordsworth made to The Prelude in the 1820s and 1830s which suggest that his numerous scientific connections at Trinity College, Cambridge, rarely ... More


Epitaphs

Morton D. Paley

in Coleridge's Later Poetry

Published in print:
2000
Published Online:
October 2011
ISBN:
9780198186854
eISBN:
9780191674570
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198186854.003.0006
Subject:
Literature, 19th-century Literature and Romanticism

The last important poem to be written by Samuel Taylor Coleridge was printed under the simple tide of ‘Epitaph’ as the final poem in the Poetical Works of 1834. It is the culmination of a lifelong ... More


Encircling Graphs

Arthur Benjamin, Gary Chartrand, and Ping Zhang

in The Fascinating World of Graph Theory

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175638
eISBN:
9781400852000
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175638.003.0006
Subject:
Mathematics, Applied Mathematics

This chapter considers Hamiltonian graphs, a class of graphs named for nineteenth-century physicist and mathematician Sir William Rowan Hamilton. In 1835 Hamilton discovered that complex numbers ... More


Graph Theory: A Look Back—The Road Ahead

Arthur Benjamin, Gary Chartrand, and Ping Zhang

in The Fascinating World of Graph Theory

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175638
eISBN:
9781400852000
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175638.003.0013
Subject:
Mathematics, Applied Mathematics

This book concludes with an epilogue, which traces the evolution of graph theory, from the conceptualization of the Königsberg Bridge Problem and its generalization by Leonhard Euler, whose solution ... More


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