Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

On Gauss Calendar Formula: An Application of Modular Arithmetic

Kwara Nantomah

Abstract

In this recreative piece of work, we present Gauss' calendar formula with some examples to demonstrate how it is applied. Then, based on it, we give a formula for determining dates of particular week days of a given month, and some examples are also given to demonstrate how it is applied. The key mathematical concept behind the formulas is modular arithmetic.

On Gauss Calendar Formula: An Application of Modular Arithmetic

Abstract

In this recreative piece of work, we present Gauss' calendar formula with some examples to demonstrate how it is applied. Then, based on it, we give a formula for determining dates of particular week days of a given month, and some examples are also given to demonstrate how it is applied. The key mathematical concept behind the formulas is modular arithmetic.
Paper Structure (5 sections, 2 theorems, 17 equations, 4 tables)

This paper contains 5 sections, 2 theorems, 17 equations, 4 tables.

Table of Contents

  1. Introduction
  2. A Brief History About the Calendar
  3. Gauss Calendar Formula
  4. Formula for Dates of Particular Week Days of a Month
  5. Some Concluding Remarks

Key Result

Proposition 3.2

Gauss formula for calculating day of the week ($W$) is given by Kraitchik-1953-MR where $D$ is the date, $M$ is the month, $C$ is the century and $Y$ is the year. If the year is a leap and the month is January or February, then the formula is given by

Theorems & Definitions (17)

  • Definition 3.1: Leap Year
  • Proposition 3.2
  • Remark 3.3
  • Remark 3.4
  • Remark 3.5
  • Remark 3.6
  • Example 3.7
  • Example 3.8
  • Example 3.9
  • Example 3.10
  • ...and 7 more