Assignment #3 - 84A

Assignment #3 - 84A


                      ASSIGNMENT #3 - DUE FEBRUARY 10
                     =================================
                                                          WEIGHT = 15

THE LEGENDRE POLYNOMIALS ARISE IN MANY PHYSICAL CONTEXTS, IN
ELECTROSTATICS, ACOUSTICS, AND QUANTUM MECHANICS.

WRITE A PROGRAM THAT WILL PRODUCE A TABLE OF NUMERICAL VALUES OF
LENGENDRE POLYNOMIALS. THE GENERAL FORMULA IS


P(N) = (2N-1)(P(1))(P(N-1)) - (N-1)(P(N-2))
       ------------------------------------
                      N

WHERE P(0)=1

      P(1)=COS(THETA)

THE TABLE SHOULD SHOW ALL VALUES FOE THETA = 0 DEGREES TO 10 DEGREES
IN ONE-DEGREE STEPS, AND IN EACH OF THESE CASES FOR N=1,2,3,4,5,6.
PROVIDE SUITABLE HEADINGS AND ROUND TO 5 DECIMAL PLACES.