title: Curves and Singularities: A Geometrical Introduction to Singularity Theory
author: J Bruce
description: "This delightfully written book overflows with beautiful mathematics, requiring only linear algebra, multi-variable calculus, and a little mathematical sophistication." The American Mathematical Monthly
zlib_text: CONSEJO 
  SUPERIOR 
  DE 
  INVESTIGACIONES CIENTIFICAS 
  MEMORIAS DE MATEMATICA 
  DEL·INSTITUTO "JORGE JUAN" 28 
  HEISUKE HIRONAKA 
  INTRODUCTION TO THE THEORY OF INFINITELY 
  NEAR SINBULAR POINTS. 
  MADRID 
  1 9 7 4 
  
  ISBN: 84·00·04033·3 
  Dep6sito Legal: M. 20.163 -1974 
  TALLE置置S
  GR.AFICOS VDA. DE C, BERMEJO. - J. GARCIA 
  MORATO, 
  1:2:2. — MADRID 
  
  INDEX 
  !Preface .......... 
  _. ............... 
  . 
  Lecture 
  1.-Complex-attalytic 
  curves 
  Lecture 
  2.--,-Stratification... 
  . .. 
  Lecture 
  3.-N ormal flatness ... 
  Lecture 
  4.-The 
  theorem of Bennett ... 
  .Lecture 
  5.-Trees, 
  groves and polygrbves 
  Lecture 
  6.-Quasi-ordinary 
  singularities 
  ., 
  Lecture 
  i.-integral 
  equivalence ... 
  .Lecture 
  8.-ldealistic 
  exponents 
  I 
  Lecture 
  9.-Idealistic 
  exponents 
  II 
  Lecture 10.-Situations 
  and forests . . . . . . . . 
  Lecture 11.-Globality 
  theorem ........... 
  . 
  page 
  V 
  1 
  1l 
  1i 
  27 
  35 
  45 
  57 
  63 
  73 
  79 
  87 
  
  INTRODUCTION 
  TO THE THEORY OF INFINITELY 
  NEAR SINGULAR 
  POINTS 
  hy 
  HEISUKE 
  HIRONAKA 
  PREF