Congruences: All in One

by Ravinder Kumar

You might like to press F11 to view the Microworld in Full Screen mode.

Congruence Book Description:

The simplest example of congruence arithmetic comes from an analog clock. In this book we consider the following:

• Congruences
• Fermat Theorem
• Solution of Congruence Equations
• Systems of Congruence Equations
• Cayley Tables

  The users are invited to conjecture Fermat's Theorem. They are also challenged to explore some simple groups. This book can be used for a course in number theory. Help pages are given that, among other things, explain some concepts which a user may not be familiar with. This book may be used for

  1. College Algebra
  2. Number Theory
  3. Examples of a group
     
     

  Author: Ravinder Kumar Alcorn State University
  E-mail: rkumar@lorman.alcorn.edu

  Topics: Congruence, Systems of Congruence Equations, Fermat Theorem, Chinese Remainder Theorem, Cayley Tables, Group Suggested Use: Congruence Equation and Systems of Congruence Equations Solver
  Number of Pages: 12
  Animation: Yes
  Grade Level: 13-15
  Acknowledgements The author acknowledges with appreciation: http://www-groups.dcs.st-and.ac.uk/~history/ for a picture of Pierre de Fermat

  Scroll down to enter this 12-page Microworld.