실체에 이르는 길(로저 펜로즈)

http://scienceon.hani.co.kr/archives/13582

 

preface

• 분수와 equivalence class 의 예

 

 

1 The roots of science

• the main thrust of this book has to do with the first of these mysteries: the remarkable relationship between mathematics and the actual behaviour of the physical world.

 

2 An ancient theorem and a modern question

• 피타고라스 정리
• 곡면의 미분기하학과 리만기하학
• * homogeneity (every point the same) and isotropy (every direction the same),

 

 

3 Kinds of number in the physical world

• 실수
  
  • p-adic number 를 안다면, 실수에 대해 더 많은 것을 생각할 수 있다