Mathematical and physical papers

書誌事項

Mathematical and physical papers

George Gabriel Stokes

(Cambridge library collection, . Mathematical sciences)

Cambridge University Press, 2009

  • Vol. 1
  • Vol. 2
  • Vol. 3
  • Vol. 4
  • Vol. 5

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注記

Reprint. Originally published in 1880-1905

内容説明・目次

巻冊次

Vol. 1 ISBN 9781108002622

内容説明

Sir George Stokes (1819-1903) established the science of hydrodynamics with his law of viscosity describing the velocity of a small sphere through a viscous fluid. He published no books, but was a prolific lecturer and writer of papers for the Royal Society, the British Association for the Advancement of Science, the Victoria Institute and other mathematical and scientific institutions. These collected papers (issued between 1880 and 1905) are therefore the only readily available record of the work of an outstanding and influential mathematician, who was Lucasian Professor of Mathematics in Cambridge for over fifty years, Master of Pembroke College, President of the Royal Society (1885-1890), Associate Secretary of the Royal Commission on the University of Cambridge and a Member of Parliament for the University.

目次

  • 1. On the steady motion of incompressible fluids
  • 2. On some cases of fluid motion
  • 3. On the motion of a piston and of the air in a cylinder
  • 4. On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids
  • 5. On the proof of the proposition that (Mx + Ny)-1 is an integrating factor of the homogeneous differential equation M + N dy/dx = 0
  • 6. On the aberration of light
  • 7. On Fresnel's theory of the aberration of light
  • 8. On a formula for determining the optical constants of doubly refracting crystals
  • 9. On the constitution of the luminiferous ether, viewed with reference to the aberration of light
  • 10. Report on recent researches on hydrodynamics
  • 11. Supplement to a memoir on some cases of fluid motion
  • 12. On the theory of oscillatory waves
  • 13. On the resistance of a fluid to two oscillating spheres
  • 14. On the critical values of the sums of period series
  • 15. Supplement to a paper on the theory of oscillatory waves
  • Index.
巻冊次

Vol. 2 ISBN 9781108002639

内容説明

Sir George Stokes (1819-1903) established the science of hydrodynamics with his law of viscosity describing the velocity of a small sphere through a viscous fluid. He published no books, but was a prolific lecturer and writer of papers for the Royal Society, the British Association for the Advancement of Science, the Victoria Institute and other mathematical and scientific institutions. These collected papers (issued between 1880 and 1905) are therefore the only readily available record of the work of an outstanding and influential mathematician, who was Lucasian Professor of Mathematics in Cambridge for over fifty years, Master of Pembroke College, President of the Royal Society (1885-1890), Associate Secretary of the Royal Commission on the University of Cambridge and a Member of Parliament for the University.

目次

  • 1. Notes on hydrodynamics, III
  • 2. On the constitution of the luminiferous ether
  • 3. On the theory of certain bands seen in the spectrum
  • 4. Notes on hydrodynamics, IV
  • 5. On a difficulty in the theory of sound
  • 6. On the formation of the central spot of Newton's Rings beyond the critical angle
  • 7. On some points in the received theory of sound
  • 8. On the perfect blackness of the central spot of Newton's Rings, and on the verification of Fresnel's formulae for the intensities of reflected and refracted rays
  • 9. On attractions, and on Clairaut's theorem
  • 10. On the variation of gravity at the surface of the Earth
  • 11. On a mode of measuring the astigmatism of a defective eye
  • 12. On the determination of the wave length corresponding with any point of the spectrum
  • 13. Discussion of a differential equation relating to the breaking of railway bridges
  • 14. Notes on hydrodynamics, VI
  • 14. On the dynamical theory of diffraction
  • 15. On the numerical calculation of a class of definite integrals and infinite series
  • 16. On the mode of disappearance of Newton's Rings in passing the angle of total internal reflection
  • 17. On metallic reflection
  • 18. On a fictitious displacement of fringes of interference
  • 19. On Haidinger's Brushes
  • Index.
巻冊次

Vol. 3 ISBN 9781108002646

内容説明

Sir George Stokes (1819-1903) established the science of hydrodynamics with his law of viscosity describing the velocity of a small sphere through a viscous fluid. He published no books, but was a prolific lecturer and writer of papers for the Royal Society, the British Association for the Advancement of Science, the Victoria Institute and other mathematical and scientific institutions. These collected papers (issued between 1880 and 1905) are therefore the only readily available record of the work of an outstanding and influential mathematician, who was Lucasian Professor of Mathematics in Cambridge for over fifty years, Master of Pembroke College, President of the Royal Society (1885-1890), Associate Secretary of the Royal Commission on the University of Cambridge and a Member of Parliament for the University.

目次

  • 1. On the effect of the internal friction of fluids on the motion of pendulums
  • 2. An examination of the possible effect of the radiation of the heat on the propagation of sound
  • 3. On the colours of thick plates
  • 4. On a new elliptic analyser
  • 5. On the conduction of heat in crystals
  • 6. On the total intensity of interfering light
  • 7. On the composition and resolution of streams of polarised light from different sources
  • 8. Abstract of a paper 'On the change of refrangibility of light'
  • 9. On the change of refrangibility of light
  • Index.
巻冊次

Vol. 4 ISBN 9781108002653

内容説明

Sir George Stokes (1819-1903) established the science of hydrodynamics with his law of viscosity describing the velocity of a small sphere through a viscous fluid. He published no books, but was a prolific lecturer and writer of papers for the Royal Society, the British Association for the Advancement of Science, the Victoria Institute and other mathematical and scientific institutions. These collected papers (issued between 1880 and 1905) are therefore the only readily available record of the work of an outstanding and influential mathematician, who was Lucasian Professor of Mathematics in Cambridge for over fifty years, Master of Pembroke College, President of the Royal Society (1885-1890), Associate Secretary of the Royal Commission on the University of Cambridge and a Member of Parliament for the University.

目次

  • 1. On the change of refrangibility of light
  • 2. On the optical properties of a recently discovered salt of quinine
  • 3. On the change of refrangibility of light and the exhibition thereby of the chemical rays
  • 4. On the cause of occurrence of abnormal figures in photographic impressions of polarised rings
  • 5. On the metallic reflexion exhibited by certain non-metallic substances
  • 6. Extracts from letter to Dr W. Haidinger: on the direction of the vibrations in polarised light: on shadow patterns and the chromatic aberration of the eye: on Haidinger's brushes
  • 7. On the theory of electric telegraph
  • 8. On the achromatism of a double object-glass
  • 9. Remarks on Prof. Challis' paper, entitled 'A theory of the composition of Colours, etc.'
  • 10. Supplement to the 'Account of pendulum experiments undertaken in the Harton Colliery...'
  • 11. On the polarisation of diffracted light
  • 12. On the discontinuity of arbitrary constants which appear in divergent developments
  • 13. On the effect of wind on the intensity of sound
  • 14. On the existence of a second crystallisable fluorescent substance (paviin) in the bark of the horse-chestnut
  • 15. On the bearing of the phenomena of diffraction on the direction of the vibrations of polarised light
  • 16. Note on paviin
  • 17. On the colouring matters of madder
  • 18. Extracts relating to the early history of spectrum analysis
  • 19. Note on internal radiation
  • 20. On the intensity of the light reflected from or transmitted through a pile of plates
  • 21. Report on double refraction
  • 22. On the long spectrum of electric light
  • 23. On the change of form assumed by wrought iron and other metals when heated and then cooled by partial immersion in water
  • 24. On the supposed identity of biliverdin with chlorophyll, with remarks on the constitution of chlorophyll
  • 25. On the discrimination of organic bodies by their optical properties
  • 26. On the application of the optical properties of bodies of detection and discrimination of organic substances
  • 27. On the reduction and oxidation of the colouring matter of the blood
  • 28. On a property of curves
  • 29. On the internal distribution of matter which shall produce a given potential at the surface of a gravitating mass
  • 30. Supplement to a paper on the discontinuity of arbitrary constants which appear in divergent developments
  • 31. On the communication of vibration from a vibrating body to a surrounding gas
  • 32. Account of observations of the total eclipse of the sun...
  • 33. On a certain reaction of quinine
  • 34. Explanation of a dynamical paradox
  • 35. On the law of extraordinary refraction in Iceland Spar
  • 36. Sur l'emploi du prisme dans la verification de la loi de la double refraction
  • 37. Notice of the researches of the late Rev. W. Vernon Harcourt on the conditions of transparency in glass and the connexion between the chemical constitution and optical properties of different glasses
  • 38. On the principles of the chemical correction of object-glasses
  • 39. On the improvement of the spectroscope
  • 40. On the construction of a perfectly achromatic telescope
  • 41. On the optical properties of a titano-silicic glass
  • 42. On a phenomenon of metallic reflection
  • 43. Preliminary note on the compound nature of the line-spectra of elementary bodies
  • Appendix
  • Index.
巻冊次

Vol. 5 ISBN 9781108002677

内容説明

Sir George Stokes (1819-1903) established the science of hydrodynamics with his law of viscosity describing the velocity of a small sphere through a viscous fluid. He published no books, but was a prolific lecturer and writer of papers for the Royal Society, the British Association for the Advancement of Science, the Victoria Institute and other mathematical and scientific institutions. These collected papers (issued between 1880 and 1905) are therefore the only readily available record of the work of an outstanding and influential mathematician, who was Lucasian Professor of Mathematics in Cambridge for over fifty years, Master of Pembroke College, President of the Royal Society (1885-1890), Associate Secretary of the Royal Commission on the University of Cambridge and a Member of Parliament for the University.

目次

  • Obituary notice by Lord Rayleigh
  • 1. Note on certain formulae in the calculus of operations
  • 2. An experiment on electro-magnetic rotation
  • 3. On the foci of lines seen through a crystalline plate
  • 4. On certain movements of radiometers
  • 5. On the question of a theoretical limit to the apertures of microscopic objectives
  • 6. On an easy and at the same time accurate method of determining the ratio of the dispersions of glasses intended for objectives
  • 7. On a method of detecting inequalities of unknown periods in a series of observations
  • 8. Description of the card supported for sunshine recorders adopted at the meteorological office
  • 9. On a simple mode of eliminating errors of adjustment in delicate observations of compared spectra
  • 10. Discussion of the results of some experiments with whirled anemometers
  • 11. On the determination of the constants of the cup anemometer by experiments with a whirling machine
  • 12. Note on the reduction of Mr Crookes's experiments on the decrement of the arc of vibration of a mice plate oscillating within a bulb containing more or less rarefied gas
  • 13. On the cause of the light border frequently noticed in photographs just outside the outline of a dark body seen against the sky
  • 14. Extracts from reports of the Committee of Solar Physics
  • 15. Memorandum for the use of observers with Professor Balfour Stewart's actinometer
  • 16. On the highest wave of uniform propagation
  • 17. On the maximum wave of uniform propagation
  • 18. Note on the theory of the solitary wave
  • 19. The outskirts of the solitary wave
  • 20. On a remarkable phenomenon of crystalline reflection
  • 21. The coefficient of viscosity of air
  • 22. Note on the determination of arbitrary constants which appear as multipliers of semi-convergent series
  • 23. On a graphical representation of the results of Dr Alder Wright's experiments on ternary alloys
  • 24. On an optical proof of the existence of suspended matter in flames
  • 25. On the reactions occurring in flames
  • 26. The influence of surface-loading on the flexure of beams
  • 27. On the best methods of recording the direct intensity of solar radiation
  • 28. On the nature of the Roentgen rays
  • 29. On the nature of the Roentgen rays (Wilde lecture)
  • 30. Mathematical proof of the identity of the stream lines obtained by means of a viscous film with those of a perfect fluid moving in two dimensions
  • 31. On the discontinuity of arbitrary constants that appear as multipliers of semi-convergent series
  • 32. On the methods of chemical fractionation
  • 33. The ultra-violet Spectrum of Radium
  • Appendix
  • Index.

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詳細情報

  • NII書誌ID(NCID)
    BB00824414
  • ISBN
    • 9781108002622
    • 9781108002639
    • 9781108002646
    • 9781108002653
    • 9781108002677
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    5 v.
  • 大きさ
    22 cm
  • 親書誌ID
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