Stock Image

The Simplex, Duplex and Pascal's Triangles: Relatives of Pascal's Triangle, With Excursions Into Hyperspace

Thomas M. Green

0 ratings by Goodreads
ISBN 10: 1514677091 / ISBN 13: 9781514677094
Published by CreateSpace Independent Publishing Platform, 2015
Condition: Good Soft cover
From Books Express (Portsmouth, NH, U.S.A.)

AbeBooks Seller Since August 14, 2015 Seller Rating 5-star rating

Quantity Available: 1

Buy Used
Price: US$ 106.49 Convert Currency
Shipping: Free Within U.S.A. Destination, rates & speeds
Add to basket

30 Day Return Policy

About this Item

Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. May be ex-library. Shipping & Handling by region. Buy with confidence, excellent customer service!. Bookseller Inventory # 1514677091

Ask Seller a Question

Bibliographic Details

Title: The Simplex, Duplex and Pascal's Triangles: ...

Publisher: CreateSpace Independent Publishing Platform

Publication Date: 2015

Binding: Paperback

Book Condition:Good

Edition: 1.

About this title

Synopsis:

Prepare to be intrigued by the many facets of
the properties of the amazing array of numbers
known as Pascal's Triangle and its many relatives.
Some of the topics you will find:

  • Polytopes
  • Simplexes and the Simplex Triangle
  • Tetrahedral, and higher dimensional figurate numbers
  • Duplexes and The Duplex Triangle
  • Geometric Duplication - Cubes and Hypercubes
  • Vandermonde's Identity for the Duplex Triangle
    and the Triplex Triangle
  • Euler's formula for Simplexes and Duplexes
  • Recurrent Sequences in Pascal's Triangle and its Relatives
    Including the Fibonacci, Pell and Jacobsthal Sequences
  • Pythagorean Triples - Related to the Sequences Listed Above
  • Properties Involving String Products
  • and more.

There is a comprehensive index that will allow readers to easily search for topics of their interest.

One goal is to provide a vehicle to the discovery of some higher mathematics related to higher dimensional geometric figures, at an entry level for the young beginning researcher by including many exercises that ask for verification of a pattern by testing specific cases and conjecturing a generalization of the pattern.

Another major goal was to make available source materials for mathematics teachers to use in their classes. Included are many topics suitable for introducing students, at the pre-college level, to the sense of satisfaction one receives while exploring and discovering significant parts of advanced mathematics.

I hope you will enjoy exploring this amazing Arithmetic Triangle and its relatives as much as I have. There is still much more to be discovered, of that I am certain.

Teachers and students are eligible for special discounts for purchases of this book. Send an email to tgreen0001@gmail.com for information on qualifying for a discount code to use before ordering.

About the Author:

Thomas M. Green was born in New York State, raised in Pennsylvania, Texas, and California.
He received his Master's Degree in Mathematics in 1962 from California State University, Long Beach. He did post-graduate study at Stanford University in the late 1960's and early 1970's as a fellow in two different National Science Foundation projects in Mathematics and Computer Science.
He has authored or co-authored several mathematical papers, textbooks, the book Pascal's Triangle and Pascal's Triangle, 2nd Ed. (with Charles L. Hamberg), and Texas Hold 'Em Poker Textbook.
Tom is now professor emeritus of Mathematics at Contra Costa College. He lives in California with his wife Sandra.

Also, by this author:

Pascal's Triangle, 2nd Ed.
https://www.createspace.com/3626370
or
http://www.amazon.com/Pascals-Triangle-2nd-Thomas-Green/dp/1479289841/
Texas Hold 'Em Poker Textbook https://www.createspace.com/3486256
or
http://www.amazon.com/Texas-Hold-Em-Poker-Textbook/dp/1453839348/

"About this title" may belong to another edition of this title.

Store Description

Visit Seller's Storefront

Terms of Sale:

Buy with confidence. Excellent customer service. 30 day return policy.

Books Express LLC
1465 Woodbury Ave
#400
Portsmouth NH 03801


Shipping Terms:

Standard and expedited shipping options include shipping and handling costs. Default shipping is by USPS Media Mail and frequently USPS Priority Mail or UPS Ground is used. Books should arrive within 10-14 business days for expedited shipping, and 20-30 business days for standard shipping. Standard shipping can on occasion take up to 30 days for delivery.

List this Seller's Books

Payment Methods
accepted by seller

Visa Mastercard American Express

Check Money Order PayPal Invoice Bank Draft Bank/Wire Transfer Direct Debit (Personally Authorized Payment)