﻿Notices 
  respecting 
  New 
  Boohs. 
  545 
  

  

  occasionally. 
  To 
  attempt 
  nothing 
  else 
  would 
  be 
  lite 
  feeding 
  a 
  

   pupil 
  on 
  tonics 
  instead 
  of 
  food. 
  

  

  The 
  examples 
  in 
  the 
  book 
  range 
  from 
  arithmetic, 
  algebra 
  and 
  

   mensuration 
  to 
  deflections 
  of 
  beams, 
  electrical 
  problems, 
  and 
  

   vibrations, 
  natural 
  and 
  forced, 
  finishing 
  with 
  a 
  chapter 
  on 
  vectors. 
  

   "When 
  a 
  formula 
  is 
  needed 
  he 
  sometimes 
  proves 
  it, 
  but 
  generally 
  

   not, 
  his 
  theory 
  being 
  that 
  formulae 
  can 
  be 
  got 
  from 
  books 
  and 
  

   that 
  the 
  main 
  need 
  for 
  a 
  student 
  is 
  to 
  be 
  able 
  to 
  use 
  them, 
  and 
  never 
  

   be 
  afraid 
  of 
  them. 
  There 
  are 
  valuable 
  hints 
  on 
  the 
  use 
  of 
  squared 
  

   paper, 
  and 
  many 
  illustrative 
  examples 
  

  

  A 
  student 
  would 
  get 
  many 
  practical 
  hints 
  from 
  the 
  book 
  in 
  any 
  

   subject 
  with 
  which 
  it 
  deals, 
  provided 
  he 
  had 
  already 
  studied 
  some 
  

   s} 
  r 
  stematic 
  treatise 
  on 
  the 
  subject 
  or 
  had 
  laboratory 
  or 
  workshop 
  

   familiarity 
  with 
  it, 
  otherwise 
  he 
  would 
  be 
  bewildered 
  by 
  the 
  

   rapidity 
  with 
  which 
  he 
  is 
  carried 
  through 
  whole 
  sets 
  of 
  new 
  ideas, 
  

   and 
  the 
  masses 
  of 
  formula?, 
  mostly 
  unproved, 
  which 
  bristle 
  on 
  page 
  

   after 
  page 
  : 
  most 
  useful 
  as 
  summaries, 
  but 
  indigestible 
  by 
  a 
  

   novice. 
  

  

  Professor 
  Perry 
  speaks 
  slightingly 
  of 
  Simpson's 
  Pule, 
  which 
  he 
  

   apparently 
  thinks 
  is 
  accurate 
  only 
  for 
  parabolic 
  areas, 
  whereas 
  it 
  

   is 
  accurate 
  for 
  unicursal 
  cubics. 
  Certainly 
  in 
  cases 
  where 
  many 
  

   sections 
  of 
  an 
  irregular 
  area 
  can 
  be 
  taken, 
  nothing 
  could 
  be 
  

   better 
  than 
  the 
  mid-ordinate 
  rule, 
  and 
  it 
  would 
  be 
  futile 
  to 
  use 
  

   Simpson. 
  But 
  for 
  regular 
  curves, 
  except 
  those 
  which 
  touch 
  the 
  

   bounding 
  ordinates, 
  Simpson 
  is 
  hard 
  to 
  beat. 
  Let 
  Prof. 
  Perry 
  

   apply 
  it 
  with 
  4 
  ordinates 
  to 
  the 
  sine 
  curve 
  (p. 
  98) 
  instead 
  of 
  his 
  

   9 
  mid-ordinates. 
  

  

  There 
  is 
  apparently 
  an 
  error 
  in 
  Ex. 
  9 
  (p. 
  138) 
  where 
  the 
  best 
  

   speed 
  seems 
  to 
  be 
  12 
  miles 
  per 
  hour, 
  i. 
  e. 
  8 
  miles 
  per 
  hour 
  relative 
  

   to 
  the 
  bank, 
  not 
  4*5 
  as 
  given 
  in 
  the 
  text. 
  

  

  It 
  is 
  impossible 
  to 
  give 
  in 
  small 
  space 
  an 
  account 
  of 
  all 
  the 
  

   subjects 
  treated. 
  The 
  book 
  itself 
  must 
  be 
  obtained 
  for 
  this 
  purpose. 
  

   It 
  is 
  a 
  regular 
  storehouse 
  from 
  which 
  teachers 
  can 
  draw 
  any 
  

   number 
  of 
  such 
  examples 
  as 
  they 
  need, 
  and 
  in 
  some 
  cases 
  the 
  

   students 
  themselves 
  might 
  well 
  work 
  systematically 
  through 
  some 
  

   of 
  the 
  chapters. 
  The 
  book 
  will 
  be 
  welcomed 
  with 
  gratitude, 
  

   tempered 
  by 
  a 
  somewhat 
  amused 
  irritation 
  at 
  the 
  sarcasms 
  hurled 
  

   at 
  the 
  heads 
  of 
  mathematicians 
  on 
  page 
  after 
  page. 
  

  

  The 
  Collected 
  Mathematical 
  Papers 
  of 
  James 
  Joseph 
  Sylvester. 
  

   Vol. 
  IV. 
  Cambridge 
  University 
  Press, 
  1912. 
  

  

  With 
  this 
  volume 
  Dr. 
  H. 
  P. 
  Baker 
  completes 
  his 
  labours 
  in 
  editing 
  

   Sylvester's 
  Collected 
  Papers, 
  and 
  thereby 
  earns 
  the 
  gratitude 
  of 
  

   the 
  mathematical 
  world. 
  It 
  has 
  been 
  from 
  first 
  to 
  last 
  a 
  serious 
  

   undertaking 
  ; 
  and 
  although 
  the 
  editor 
  fears 
  that 
  many 
  errors 
  in 
  

   the 
  printing 
  of 
  formulae 
  still 
  remain, 
  readers 
  may 
  rest 
  assured 
  

   that 
  all 
  that 
  human 
  skill 
  can 
  do 
  has 
  been 
  done 
  in 
  presenting 
  

   Sylvester's 
  work 
  in 
  an 
  error-free 
  form. 
  Fully 
  one 
  quarter 
  of 
  the 
  

   present 
  volume 
  is 
  taken 
  up 
  with 
  the 
  lectures 
  on 
  the 
  theory 
  of 
  

  

  