Recursion is sometimes used humorously in computer science, programming, philosophy, or mathematics textbooks, generally by giving a circular definition or self-reference, in which the …

In this module, we'll see how to use recursion to compute the factorial function, to determine whether a word is a palindrome, to compute powers of a number, to draw a type of fractal, and to solve the …

Oct 25, 2025 · The process in which a function calls itself directly or indirectly is called recursion and the corresponding function is called a recursive function. A recursive algorithm takes one step toward …

Recursion is a method of defining something (usually a sequence or function) in terms of previously defined values. The most famous example of a recursive definition is that of the Fibonacci sequence.

Recursion formalizes the process of recognizing how solutions to smaller cases of a problem can, layer by layer, be built up to solve any case of a problem, no matter how enormous. Needless to say, it …

This approach is extensively used in mathematics and computer science, especially in the computation of binomial coefficients, the evaluation of polynomials, and the generation of sequences.

Recursive sequences often cause students a lot of confusion. Before going into depth about the steps to solve recursive sequences, let's do a step-by-step examination of 2 example problems.

Dec 3, 2025 · A recursive process is one in which objects are defined in terms of other objects of the same type. Using some sort of recurrence relation, the entire class of objects can then be built up …

Jun 6, 2020 · Recursion plays an important role in computational mathematics (recursive methods). Finally, in set theory transfinite recursion is often used. For a long time the term "recursion" was used …

In this chapter we will examine recursion in the context of mathematics and computer science. We will use the principle of induction to make logical arguments and proofs involving recursive constructs …