Mathematical Paradise: Getting to Know Triangular Numbers, Book Two

By Paul Emekwulu

Mathematical Paradise: Getting to Know Triangular Numbers, Book Two was written on the premise of a famous American psychologist, Professor William James, who says that human beings use only ten percent of their mental abilities. The book uncovers new information on triangular numbers including a mathematical relationship between triangular numbers and Fibonacci numbers.

• Language: English
• Publisher: Paul Emekwulu
• Release date: Jun 2, 2012
• ISBN: 9781476195742

Paul Emekwulu

Paul is an award-winning international bestselling author, publisher, seminar presenter and a co-author in the international bestselling “Unwavering Strength” book series. He is also an early pioneer and advocate of self-publishing. Emekwulu developed a fascination for writing and self-publishing while he was teaching high school math in his native country Nigeria. In addition to his interest in writing and motivation, Emekwulu has helped school kids across Oklahoma with Math-Magic program, which takes the subject of numbers from a dull, classroom exercise, to a challenging mind-game. He independently developed a mathematical formula connecting triangular numbers and numbers of the Fibonacci sequence. His books, articles and activities have been reviewed, published and featured in Nigeria, and several US newspapers and magazines including: The Mathematics Teacher The Nigerian Observer The Norman Transcript The OU Daily – student newspaper of The University of Oklahoma Among others, Emekwulu has made invited presentations for several schools and organizations including: National Council of Teachers of Mathematics Moore Association of Classroom Teachers Board Members of Organization of Small Rural Oklahoma Schools Oklahoma Council of Teachers of Mathematics Kansas Association of Classroom Teachers Washington High School, Washington, OK His most recent book is titled, “Writing Down Your Dreams: Listen to Your Inner Voice and Change Your Life”. He has been a guest of several radio and TV stations.

Book preview

Mathematical Paradise

Getting to Know Triangular Numbers, Part II

by

Paul Chika Emekwulu

Mathematical Paradise: Getting to Know Triangular Numbers, Part II

by Paul Chika Emekwulu

Copyright 2011 Paul Chika Emekwulu

Smashwords Edition

Smashwords Edition, License Notes

This ebook is licensed for your personal enjoyment only. This ebook may not be re-sold or given away to other people. If you would like to share this book with another person, please purchase an additional copy for each recipient. If you are reading this book and did not purchase it, or it was not purchased for your use only, then please return to Smashwords.com and purchase your own copy. Thank you for respecting the hard work of this author.

All rights reserved. No part of this book may be used or reproduced in any manner whatsoever including Internet usage, without written permission of the author.

Table of Contents

1. Summation Formulas for First n Triangular Numbers

2. On Using Sigma Notation to Find the Sum of First n Triangular Numbers

3. Justifying the Sum of First n Triangular Numbers

4. Deriving a Formula for the Sum of First n Triangular Numbers from Basic Principles

5. Summation Strategy for First n Triangular Numbers

6. Exploring Properties of Triangular Numbers

7. Exploring Independent Trial Questions

8. Solutions to Independent Trial Questions

Preface

Conception and approach of this book

Over the years, I have listened to several inspirational and subliminal tapes. All these and other personal development tools emphasize self-empowerment, possibility thinking, and other aspects of personal development. Among others, and in no particular order, I have read the following books and magazines on personal growth:

• The Magic of Thinking Success: Your Personal Guide to Financial Independence by David Joseph Schwartz

• The Magic of Thinking Big by David Joseph Schwartz

• Psycho-Cybernetics by Maxwell Maltz

• Mind Power into the 21st Century: Techniques to Harness the Astounding Powers of Thought by John Kehoe

• The Tough-Minded Optimist by Norman Vincent Peale

• The Power of Your Subconscious Mind by Joseph Murphy

• Success Through a Positive Mental Attitude by Napoleon Hill and W. Clement Stone

• Succeed and Grow Rich Through Persuasion by Napoleon Hill

• Think and Grow Rich by Napoleon Hill

• How to Win Friends and Influence People by Dale Carnegie

• How to Stop Worrying and Start Living by Dale Carnegie

• Bring Out the Magic in Your Mind by Al Koran

• Intuition Magazine published by Intuitive Media, Inc., San Francisco, CA

• The Psychologist Magazine published by Thorsons Publishers, London, England

• Move Ahead with Possibility Thinking by Robert H. Schuller

• The Power of Positive Thinking by Norman Vincent Peale

• The Power of Miracle Metaphysics by Robert B. Stone

• The Magic of Believing by Claude M. Bristol

• Power Through Constructive Thinking by Emmet Fox

What is my point? My point is that I do have a penchant for exploring mathematical concepts as I do for personal development.

To some people, everything about this book may be unusual or strange except probably the title. You can also say that the content is unusual, because it is not written strictly in line with any traditional curriculum (and it does not have to). You can also say the same on the chapter lengths because of the briefness. You can also say that the general format is unusual. At this point, you are probably thinking or asking whether this is a book on mathematics or a book on personal development. You are right! It is a book on both. They are all concerned with mind development. Generally, we can also say that the whole book is strange, and is not an accident. It is planned in that way.

Mathematical Paradise: Getting to Know Triangular Numbers is written on the premise of a famous