PROOFS PROGRAMME

Random Mix-02 Improper Riemann Integrals

For page specific messages
For page specific messages

Random Mix-02
Improper Riemann Integrals

RECENT

REFERENCES :

  1. E. C. TitchMarsh, 'The Theory of Functions", Oxford University Press (1939)
  2. A. K. Kapoor, "Complex  Variables, Principles and Problem Sessions", Cambridge University Press (2011)

Exclude node summary : 

n

Comments

Comments: 1. The 'principal value' is mistyped as 'principle value'. 2. The Cauchy principal value exists for those functions for which there is a cancellation between the contributions from two symmetrical infinitesimal sides of the point at which integrand is singular. 3. Lest the students get an impression that meaning of integrals is arbitrary or that it depends on some "tricks"; one should give them some idea about generalized functions.

Will provide link to generalzed functions.
Thanks! Spelling Corrected.