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Hydrodynamics

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632 pages
UNIVERSITYOFASfRONOMY UBRARVJEr%ibrisL5 BR AR YOF THEASTRONOMICAL SOCIETYFACiFJC241.HYDEODYNAMICSSonton: C. J. CLAY AND SONS,CAMBRIDGE UNIVEKSITY PEESS WAREHOUSE,AVE MARIA LANE.STREET.laggoto: 263, ARGYLE: F. A. BROCKHAUS.ILetpjig: MACMILLAN AND CO.fo lorfcHYDRODYNAMICSBYF.R.S.HORACE M.A.,LAMB,PBOFESSOB OF MATHEMATICS IN THE OWENS COLLEGE,VICTORIA MANCHESTERUNIVERSITY, ;CAMBRIDGE.FORMERLY FELLOW OF TRINITY COLLEGE,CAMBRIDGE :AT THE UNIVERSITY PRESS.1895[All Rights reserved.]ASffiONOMY LIBRARYCambridge:& C. F.PRINTED BY J. CLAY,THE UNIVERSITY PRESS.ATASTRONOMYPREFACE."rilHIS a abook be as second edition of Treatisemay regarded-- on the Mathematical of the Motion of Fluids,"Theoryin but the additions and alterations are so ex1879,publishedtensive that it has been to make a in thethought proper changetitle.I have to frame a connected account of theattempted principaltheorems and methods of the and of such of the morescience,aas admit of withinimportant applications being presentedmoderate It is that all of fundacompass. hoped investigationsmental will be found to have been with sufficientimportance givenbut in matters of or illustrative interest I havedetail, secondaryoften condensed the or stated results,argument, merely leavingthe full out to the reader.workingIn a selection of the to be treated I havemaking subjectsbeen considerations of interest.guided by physical Long analyticalbeto results which ...
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UNIVERSITY OF ASfRONOMY UBRARV JEr%ibris L5 BR AR Y OF THE ASTRONOMICAL SOCIETY FACiFJC 241 .HYDEODYNAMICS Sonton: C. J. CLAY AND SONS, CAMBRIDGE UNIVEKSITY PEESS WAREHOUSE, AVE MARIA LANE. STREET.laggoto: 263, ARGYLE : F. A. BROCKHAUS.ILetpjig : MACMILLAN AND CO.fo lorfc HYDRODYNAMICS BY F.R.S.HORACE M.A.,LAMB, PBOFESSOB OF MATHEMATICS IN THE OWENS COLLEGE, VICTORIA MANCHESTERUNIVERSITY, ; CAMBRIDGE.FORMERLY FELLOW OF TRINITY COLLEGE, CAMBRIDGE : AT THE UNIVERSITY PRESS. 1895 [All Rights reserved.] ASffiONOMY LIBRARY Cambridge: & C. F.PRINTED BY J. CLAY, THE UNIVERSITY PRESS.AT ASTRONOMY PREFACE. "rilHIS a abook be as second edition of Treatisemay regarded -- on the Mathematical of the Motion of Fluids,"Theory in but the additions and alterations are so ex1879,published tensive that it has been to make a in thethought proper change title. I have to frame a connected account of theattempted principal theorems and methods of the and of such of the morescience, aas admit of withinimportant applications being presented moderate It is that all of fundacompass. hoped investigations mental will be found to have been with sufficientimportance given but in matters of or illustrative interest I havedetail, secondary often condensed the or stated results,argument, merely leaving the full out to the reader.working In a selection of the to be treated I havemaking subjects been considerations of interest.guided by physical Long analytical beto results which cannotinvestigations, leading interpreted, have as far as been avoided. Considerable itbut,possible is not excessive has been devoted to the ofhoped, space theory waves of various theand to the of Onkinds, subject viscosity. other some readers be to find that thehand, may disappointed of isolated vortices is still much in the form in whichtheory given it was. left the and Lordearlier researches of von Helrnholtzby and that little reference is made to theKelvin, subsequent of J. J. W. M. and in thisothers,investigations Thomson, Hicks, field. The omission has been made with and can bereluctance, on the inthat thejustified only ground investigations question L. b M6772O1 VI PREFACE. derive most of their interest from their on kinetic theoriesbearing of which lie outside the of a treatise likeseem tomatter, province the present. I in to make a serioushave oneventured, important particular, innovation in the established notation of the reversingsubject, by the of This taken notthe has beensign velocity-potential. step without and was decided when I foundhesitation, upononly finally that it had the countenance of friends whose I couldjudgment trust and thebut the of the ; function,physical interpretation with the are both so much far-reaching analogy magnetic potential, the its to soonerthat be,improved by change adoption appeared or inevitable.later, I have the to attribute to theirendeavoured, book,throughout authors the more in the ofproper important steps development the That this is not an matter is shewnsubject. easy byalways the fact that it has found tobeenoccasionally necessary modify asreferences in the former andtreatise,given generally accepted correct. I that errors of whichtrust, therefore, any ascription beremain will be viewed with It well,indulgence. may to warn the once for that I have allowedmoreover, reader, all, a free hand in with the materials atmyself dealing my disposal, and that the reference in the footnote must not be takenalways to that the method of the author has beenimply original thatfollowed in the text. I will confess, indeed,closely my ambition has a text-book abeen not tomerely produce giving with itsfaithful record of the state of the science,present achievements and its if to it abut,imperfections, possible, carry the due coordinafurther here and and at all eventsthere,step by tion of results obtained to in some thedegreealready lighten labours of future I be if I have at leastshallinvestigators. glad succeeded in of the fascinationto readers someconveying my which the has exerted on so a line of distinguishedsubject long writers. in otherIn the more thanpresent subject, perhaps any depart ment of mathematical there is room for Poinsot s warningphysics,