미분형식 (differential forms)과 다변수 미적분학

 

 

 

 

 

 

 

 

 

 

다른 과목과의 관련성

• 다변수미적분학
  
  • 외적
  • 스토크스정리의 일반화
• 선형대수학
  
  • 행렬식
• 미분기하학

 

 

 

관련도서 및 추천도서

• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=
• 도서검색
  
  • http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
  • http://book.daum.net/search/mainSearch.do?query=

 

 

수학용어번역

• 대한수학회 수학 학술 용어집
  
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=
• 대한수학회 수학용어한글화 게시판

 

참고할만한 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• http://www.wolframalpha.com/input/?i=
• 네이버 오늘의과학

 

표준적인 교과서

• Differential Forms and Applications
  
  • Manfredo P. Do Carmo
    

 

From Calculus to Cohomology: De Rham Cohomology and Characteristic Classe

• • Ib H. Madsen (Author), Jxrgen Tornehave
  • 뒷부분은 학부생이 보기에 다소 어렵지만, 앞부분만으로도 가치가 있음.

 

참고할만한 자료

• Covariant and Contravariant Vectors
  
  • S. R. Deans
    
  • Mathematics Magazine, Vol. 44, No. 1 (Jan., 1971), pp. 5-8
• Differential Forms for Constrained Max-Min Problems: Eliminating Lagrange Multipliers
  
  • Frank Zizza
  • The College Mathematics Journal, Vol. 29, No. 5 (Nov., 1998), pp. 387-396
• What are Tensors?
  
  • Peter Scherk and Michael Kwizak
  • The American Mathematical Monthly, Vol. 58, No. 5 (May, 1951), pp. 297-305
• Differential Forms, the Early Days; or the Stories of Deahna's Theorem and of Volterra's Theorem
  

• Hans Samelson
• The American Mathematical Monthly, Vol. 108, No. 6 (Jun. - Jul., 2001), pp. 522-530