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  LXXIII. 
  Notices 
  respecting 
  Neiv 
  Bokos. 
  

  

  Lehrbuch 
  der 
  Potentialtheorie. 
  II. 
  Allgemeine 
  Theorie 
  des 
  loga- 
  

   ritlimisehen 
  Potentials 
  und 
  der 
  PotentialfunJctionen 
  in 
  der 
  Ebene. 
  

   Von 
  Dr. 
  Arthur 
  Korn. 
  Mit 
  58 
  in 
  den 
  Text 
  gedruckten 
  

   Figuren. 
  Berlin, 
  1901. 
  Ferd. 
  Dummlers 
  Verlagsbuchhandlung. 
  

   Pp. 
  x 
  + 
  366. 
  

  

  HIS 
  volume 
  forms 
  Part 
  II. 
  of 
  the 
  author's 
  Treatise 
  on 
  the 
  Theory 
  

   of 
  Potential, 
  but 
  may 
  be 
  regarded 
  as 
  an 
  entirely 
  self-contained 
  

   work, 
  since 
  no 
  knowledge 
  of 
  the 
  results 
  arrived 
  at 
  in 
  the 
  first 
  

   portion 
  of 
  the 
  complete 
  treatise 
  is 
  assumed. 
  The 
  theory 
  of 
  , 
  

   logarithmic 
  potential 
  enters 
  largely 
  into 
  many 
  two-dimensional 
  

   problems 
  of 
  modern 
  mathematical 
  physics, 
  and 
  the 
  author 
  is 
  to 
  be 
  

   congratulated 
  on 
  the 
  clear 
  exposition 
  which 
  he 
  has 
  given 
  us 
  of 
  this 
  

   important 
  subject. 
  The 
  work 
  is 
  divided 
  into 
  six 
  sections, 
  and 
  is 
  

   preceded 
  by 
  a 
  short 
  introduction 
  on 
  line 
  and 
  surface 
  integrals. 
  

   In 
  Section 
  I. 
  the 
  author 
  defines 
  and 
  classifies 
  the 
  various 
  types 
  of 
  

   logarithmic 
  potential, 
  considers 
  their 
  general 
  properties, 
  and 
  then 
  

   discusses 
  the 
  special 
  characteristics 
  of 
  point, 
  line, 
  and 
  surface 
  

   potentials. 
  In 
  Section 
  II. 
  the 
  expansion 
  of 
  log 
  1/r 
  is 
  considered, 
  

   and 
  is 
  followed 
  by 
  an 
  account 
  of 
  the 
  expansion 
  of 
  f 
  mictions 
  

   generally 
  in 
  terms 
  of 
  circular 
  functions. 
  Sections 
  III., 
  IV., 
  and 
  V. 
  

   deal 
  with 
  the 
  theory 
  of 
  potential 
  functions 
  generally, 
  of 
  their 
  

   representation 
  by 
  means 
  of 
  line-integrals, 
  their 
  turning-values, 
  and 
  

   the 
  solution 
  of 
  Dirichlet's 
  problem 
  in 
  two 
  dimensions. 
  The 
  

   concluding 
  Section 
  VT. 
  is 
  devoted 
  to 
  an 
  account 
  of 
  conformal 
  

   representation 
  and 
  to 
  Green's 
  function. 
  A 
  useful 
  bibliographical 
  

   appendix 
  and 
  table 
  of 
  errata 
  are 
  given 
  at 
  the 
  end 
  of 
  the 
  book. 
  

  

  Die 
  Heterogenen 
  Gleicligeiuichte 
  vom 
  StandpunTcte 
  der 
  Phasenlehre. 
  

  

  Von 
  Dr. 
  H. 
  W. 
  Bakhuis 
  Roozeboom, 
  Professor 
  an 
  der 
  

  

  Universitdt 
  Amsterdam. 
  Erstes 
  Heft 
  : 
  Die 
  Phasenlehre 
  — 
  

  

  Systeme 
  aus 
  Einer 
  Komponente. 
  Mit 
  54 
  eingedruckten 
  

  

  Abbildungen. 
  Braunschweig 
  : 
  F. 
  Vieweg 
  und 
  Sohn. 
  1901. 
  

  

  Pp. 
  xiv 
  + 
  222. 
  

  

  The 
  domain 
  of 
  physical 
  chemistry 
  is 
  one 
  in 
  which 
  Dutch 
  

  

  physicists 
  appear 
  particularly 
  to 
  excel 
  ; 
  and 
  the 
  history 
  of 
  this 
  

  

  branch 
  of 
  science 
  is 
  very 
  largely 
  associated 
  with 
  the 
  names 
  of 
  

  

  Dutch 
  investigators. 
  It 
  is 
  therefore 
  only 
  natural 
  to 
  expect 
  that 
  

  

  a 
  treatise 
  on 
  an 
  important 
  branch 
  of 
  physical 
  chemistry 
  should 
  

  

  come 
  from 
  the 
  pen 
  of 
  a 
  Dutch 
  author. 
  The 
  book 
  under 
  review 
  

  

  forms 
  the 
  first 
  part 
  of 
  a 
  systematic 
  treatise 
  on 
  the 
  equilibrium 
  of 
  

  

  heterogeneous 
  systems, 
  regarded 
  from 
  the 
  point 
  of 
  view 
  of 
  

  

  Willard 
  Gribbs's 
  Phase 
  Rule, 
  which 
  is 
  adopted 
  as 
  the 
  basis 
  of 
  

  

  classification 
  in 
  various 
  cases 
  of 
  chemical 
  and 
  physical 
  equilibrium. 
  

  

  After 
  a 
  very 
  careful 
  and 
  lucid 
  explanation 
  of 
  the 
  Phase 
  Rule, 
  

  

  the 
  author 
  proceeds 
  to 
  the 
  consideration 
  of 
  systems 
  of 
  a 
  sino-le 
  

  

  component, 
  taking 
  the 
  cases 
  of 
  equilibrium 
  between 
  a 
  liquid 
  and 
  

  

  a 
  gaseous 
  phase, 
  a 
  solid 
  and 
  a 
  gaseous'one, 
  and 
  a 
  solid 
  and 
  liquid 
  

  

  one. 
  The 
  "triple 
  point" 
  — 
  sol 
  id-liquid-gas 
  —is 
  next 
  discussed. 
  

  

  