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Course Info

  • Course Number / Code:
  • 18.307 (Spring 2006) 
  • Course Title:
  • Integral Equations 
  • Course Level:
  • Graduate 
  • Offered by :
  • Massachusetts Institute of Technology (MIT)
    Massachusetts, United States  
  • Department:
  • Mathematics 
  • Course Instructor(s):
  • Prof. Dionisios Margetis 
  • Course Introduction:
  •  


  • 18.307 Integral Equations



    Spring 2006




    Course Highlights


    This course features complete set of assignments with solutions and an extensive reading list.


    Course Description


    This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.
     

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