Title

On the 3X + 1 problem

Date of Publication

2001

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

This thesis is a contribution to the continuously expanding field of knowledge on the 3X + 1 problem. The 3x + 1 problem involves the behavior of a function, known in the literature of Mathematics as the Collatz function, attributed to its original author, Lothar Collatz. By continually applying the function to its output, iterates are produced thus forming a sequence of positive integers called the Collatz sequence. The 3x + 1 problem states that for any initial positive integer, the number 1 is always included in the Collatz sequence.

The researchers intended this thesis to be an exposition of the primary findings of The 3x + 1 Problem by Eric Roosendaal and 3n + 1 Problem by Jeffrey Lagarias. Moreover, the writers of this thesis found patterns that occur in the concepts defined by the said researchers.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU10723

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

73 leaves

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