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Iteration And Recursion

Recursion in computer science is a method where the solution to a problem depends on solutions to smaller instances of the same problem. The approach can be applied to many types of problems, and is one of the central ideas of computer science.

Recursive functions

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Many mathematical functions can be defined recursively:

  • Factorial
  • Fibonacci
  • Euclid's GCD (Greatest Common Denominator)
  • Fourier Transform

Many problems can be solved recursively, eg games of all types from simple ones like the Towers of Hanoi problem to complex ones like chess. In games, the recursive solutions are particularly convenient because, having solved the problem by a series of recursive calls; you want to find out how you got to the solution. By keeping track of the move chosen at any point, the program call stack does this housekeeping for you! This is explained in more detail later.

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