New Approaches To Circle Packing In A Square: With Program Codes
Szabó, Péter Gábor; Markót, Mihaly Csaba; Csendes, Tibor; Specht, Eckard; Casado, Leocadio G.; García, Inmaculada
Language: English
Published by Springer, 2007
Series: Book 5 of 176 - Springer Optimization and Its Applications
- Hardcover
- New
Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.Romtrade Corp.
AbeBooks seller since April 17, 2013
Condition: New
£ 66.92
Quantity: 1 available
Add to basketItem description from seller
This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.
Seller Inventory # ABBB-158692
- Title
- New Approaches To Circle Packing In A Square: With Program Codes
- Author
- Szabó, Péter Gábor; Markót, Mihaly Csaba; Csendes, Tibor; Specht, Eckard; Casado, Leocadio G.; García, Inmaculada
- Publisher
- Springer
- Publication year
- 2007
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387456732
- ISBN 13
- 9780387456737
- Series
- Book 5 of 176: Springer Optimization and Its Applications
In one sense, the problem of finding the densest packing of congruent circles in a square is easy to understand. But on closer inspection, this problem reveals itself to be an interesting challenge of discrete and computational geometry with all its surprising structural forms and regularities. This book summarizes results achieved in solving the circle packing problem over the past few years, providing the reader with a comprehensive view of both theoretical and computational achievements. Typically illustrations of problem solutions are shown, elegantly displaying the results obtained.
Beyond the theoretically challenging character of the problem, the solution methods developed in the book also have many practical applications.
Since the codes can be worked with directly, they will enable the reader to improve on them and solve problem instances that still remain challenging, or to use them as a starting point for solving related application problems.
"Synopsis" may belong to another edition of this title.
From the Back Cover
In one sense, the problem of finding the densest packing of congruent circles in a square is easy to understand: it is a matter of positioning a given number of equal circles in such a way that the circles fit fully in a square without overlapping. But on closer inspection, this problem reveals itself to be an interesting challenge of discrete and computational geometry with all its surprising structural forms and regularities. As the number of circles to be packed increases, solving a circle packing problem rapidly becomes rather difficult. To give an example of the difficulty of some problems, consider that in several cases there even exists a circle in an optimal packing that can be moved slightly while retaining the optimality. Such free circles (or "rattles”) mean that there exist not only a continuum of optimal solutions, but the measure of the set of optimal solutions is positive! This book summarizes results achieved in solving the circle packing problem over the past few years, providing the reader with a comprehensive view of both theoretical and computational achievements. Typically illustrations of problem solutions are shown, elegantly displaying the results obtained.
Beyond the theoretically challenging character of the problem, the solution methods developed in the book also have many practical applications. Direct applications include cutting out congruent two-dimensional objects from an expensive material, or locating points within a square in such a way that the shortest distance between them is maximal. Circle packing problems are closely related to the "obnoxious facility location” problems, to the Tammes problem, and less closely related to the Kissing Number Problem. The emerging computational algorithms can also be helpful in other hard-to-solve optimization problems like molecule conformation.
The wider scientific community has already been involved in checking the codes and has helped in having the computational proofsaccepted. Since the codes can be worked with directly, they will enable the reader to improve on them and solve problem instances that still remain challenging, or to use them as a starting point for solving related application problems.
Audience
This book will appeal to those interested in discrete geometrical problems and their efficient solution techniques. Operations research and optimization experts will also find it worth reading as a case study of how the utilization of the problem structure and specialities made it possible to find verified solutions of previously hopeless high-dimensional nonlinear optimization problems with nonlinear constraints.
"About the title" may belong to another edition of this title.
Romtrade Corp.
STERLING HEIGHTS, MI, U.S.A.
AbeBooks seller since April 17, 2013
Shipping rates within U.S.A.
| Item | 3 to 6 business days | 5 to 10 business days |
|---|---|---|
| First item | £ 0.00 | £ 0.00 |
Payment methods
Store description
We sell textbooks to students at very affordable prices. All books are brand new, satisfaction guaranteed.
Specialty
TextbooksSeller's business information
Romtrade Corp.
39137 BYERS DR.
STERLING HEIGHTS, MI U.S.A. 48310
Terms of sale
We guarantee the condition of every book as it's described on the Abebooks web
sites. If you're dissatisfied with your purchase (Incorrect Book/Not as
Described/Damaged) or if the order hasn't arrived, you're eligible for a refund
within 30 days of the estimated delivery date. If you've changed your mind about
a book that you've ordered, please use the Ask bookseller a question link to
contact us and we'll respond within 2 business days. The contact persons name is
Constantin Marandici and the mail id where you can send a mail is
discount_scientific_books@yahoo.com. We can be also contacted at 586-977-9198.
Our address
39137 Byers Dr.
Sterling Heights, MI - 48310
USA
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to Romtrade Corp., Irving, Texas, U.S.A., without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
Orders usually ship within 2 business days. Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required. We use USPS, DHL and ARAMEX for shipping.