Welcome to Bob's Positive Integer Pages

These pages focus on the set of positive integers and the operators between them. An Alternate Number System that has no need for the digit zero is presented, and other topics related to positive integers are discussed. You will find minimal reference to the number zero and negative numbers. Hopefully both recreational and professional mathematicians will find something of interest - the intent of these pages is to motivate others to explore the fascinating world of positive integers. I am confident with most of the ideas on these pages. However a few ideas are still in their infancy, and require further development and refinement. I therefore welcome your input to aid in expanding some of the thoughts. These pages are not necessarily static, and hopefully, will evolve in a positive manner as time goes on.

I will be doing updates periodically to add more information.
If you like what you see, tell others. If you don't tell me.
Most of all - Enjoy

Main Menu

Some Positive Thoughts - Thoughts on the positive integers.

Number System Basics - An introduction to number systems.

An Alternate Number System (ANS) - A number system that has no need for the digit zero.

Applications of ANS - Counting, the abacus, arithmetic, computing and number theory.

A Symbol for the Digit Ten - A new symbol for the digit ten is needed.

Converting Between ENS and ANS Integers - Practical convertion between systems.

More on Kaprekar's Constants - Some more things to try and think about.

Palindromes in ANS - Palindromes and the 196-Algorithm

Digital Roots in ANS - Additive and multiplicative digital roots

Thoughts on the Year 2000 - A different perspective using ANS.

Integers in Different Bases - Notation used for representing integers.

Digit Sum Procedure - A interesting procedure using ANS.

Types of Positive Integers - An introduction to some known number types.

Theorems and Conjectures about the Positive Integers - An introduction to some theorems.

The Concept of Zero - Some thoughts about zero.

The Concept of Signed Integers - Some thoughts about positive and negative.

The Concept of Decimal Numbers - Some thoughts about rationals and irrationals.

Inverse Operators - Some thoughts about the inverse of addition and multiplication.

Partitioning Integers - Facts about splitting integers into parts

Some Interesting Integers - A few interesting integers and their relations

Fibonacci Relations - Some interesting relationships of the Fibonacci sequence

Mathematical References - Some references that I have found useful

List of Web Sites - Some web sites that I have visited

Famous Quotes - Some quotes by mathematicians and others.

Acknowledgements - People who have helped me along the way

Thanks for visiting my pages - hope you enjoy your stay. I welcome any comments, questions or corrections, so please email me: forslund@tbaytel.net (Bob Forslund)