"This attractive and carefully written book addresses the general reader with interest in mathematics and its application to the physical and biological sciences ... this one will make a valuable addition to academic and personal libraries."

The Fibonacci Quarterly

In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.

Synopsis

In this text, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Finobacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, latice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.

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

Store Description

Save up to 90% on your favorite items at BargainBookStores.com! Our 20,000 square foot warehouse in Grand Rapids, Michigan is filled with hundreds of thousands of books and consumer goods, all at the lowest prices! We've been serving internet customers with great deals since 2001. All books ship from Grand Rapids, Michigan. 100% Customer Satisfaction Guaranteed We want to ensure your satisfaction. If you are dissatisfied with your purchase or shopping experience, we would like to hear from you. Please contact us by email: cs@bargainbookstores.com. Please be sure to include your contact information and order number. We do not charge a restocking fee for returns. Your Privacy BargainBookStores.com does not provide, sell or market customer information to other businesses or organizations.

Visit Seller's Storefront

Seller's business information

BargainBookStores
3423 Lousma Dr SE, Grand Rapids, MI, 49548, U.S.A.

Sale & Shipping Terms

Terms of Sale

BargainBookStores guarantees 100% Customer Satisfaction. We ship worldwide and offer a variety of shipping methods to meet your needs. Please place your order directly via ABEBooks.com. We accept payment by MasterCard and Visa. For more information, contact us by email at cs@bargainbookstores.com. Full contact info is below:

BargainBookStores.com LLC
3423 Lousma Dr SE
Grand Rapids, MI 49548

Right of cancellation

Shipping Terms

We will ship to all domestic and most international destinations.

Please note: Shipping times are estimated and are not guaranteed by BargainBookStores.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	4 to 10 business days	4 to 9 business days
First item	� 0.00	� 29.64

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.