Combinatorial Number Theory and Additive Group Theory
Language: English
Published by Birkhauser Verlag AG, 2009
Series: Book 7 of 35 - Advanced Courses in Mathematics - CRM Barcelona
- Softcover
- Used
Seller: Libro Co. Italia Srl, San Casciano Val di Pesa, FI, ItalyLibro Co. Italia Srl
AbeBooks seller since July 29, 2024
Condition: Used - Fine
£ 34.89
Quantity: 3 available
Add to basketItem description from seller
Seller Inventory # 1661373
- Title
- Combinatorial Number Theory and Additive Group Theory
- Author
- Ruzsa, Imre Z
- Publisher
- Birkhauser Verlag AG
- Publication year
- 2009
- Condition
- fine
- Book Type
- Libro
- Binding
- Brossura
- Language
- English
- ISBN 10
- 3764389613
- ISBN 13
- 9783764389611
- Item weight
- 1.58 kilograms
- Series
- Book 7 of 35: Advanced Courses in Mathematics - CRM Barcelona
Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem on the sum of k-th powers or the Goldbach conjecture are genuine examples of the original questions addressed in the area. One of the features of contemporary additive combinatorics is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory.
This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, Additive combinatorics and non-unique factorizations, by Alfred Geroldinger, and Sumsets and structure, by Imre Z. Ruzsa. The third part collects the notes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book collects the material delivered in the 2008 edition of the DocCourse in Combinatorics and Geometry which was devoted to the topic of additive combinatorics. The first two parts, which form the bulk of the volume, contain the two main advanced courses, Additive Group Theory and Non-Unique Factorizations by Alfred Geroldinger, and Sumsets and Structure by Imre Z. Ruzsa.
The first part centers on the interaction between non-unique factorization theory and additive group theory. The main objective of factorization theory is a systematic treatment of phenomena related to the non-uniqueness of factorizations in monoids and domains. This part introduces basic concepts of factorization theory such as sets of lengths, and outlines the translation of arithmetical questions in Krull monoids into combinatorial questions on zero-sum sequences over the class group. Using methods from additive group theory such as the theorems of Kneser and of Kemperman-Scherk, classical zero-sum constants are studied, including the Davenport constant and the Erdös-Ginzburg-Ziv constant. Finally these results are applied again to the starting arithmetical problems.
The second part is a course on the basics of combinatorial number theory (or additive combinatorics): cardinality inequalities (Plünnecke’s graph theoretical method), Freiman’s theorem on the structure of sets with a small sumset, inequalities for the Schnirelmann and asymptotic density of sumsets, analogous results for the measure of sumsets of reals, the connection with the Bohr topology.
The third part of the volume collects some of the seminars which accompanied the main courses. It contains contributions by C. Elsholtz, G. Freiman, Y. O. Hamidoune, N. Hegyvari, G. Karolyi, M. Nathanson, J. Solymosi and Y. Stanchescu.
"About the title" may belong to another edition of this title.
Libro Co. Italia Srl
San Casciano Val di Pesa, FI, Italy
AbeBooks seller since July 29, 2024
Shipping rates from Italy to U.S.A.
| Item | 14 to 30 business days | 14 to 30 business days |
|---|---|---|
| First item | £ 18.04 | £ 18.04 |
Payment methods
Store description
Specialty
Exhibition Catalogue, Architecture, Archaeology, ArtSeller's business information
LIBRO CO. ITALIA S.R.L.
Via Etruria 2/4/6
San Casciano in Val di Pesa, FI Italy 50026
Terms of sale
We accept Visa, Mastercard, Paypal.
Buyer will pre-pay book cost and shipping. Buyer should select the method of shipping.
Returns policy: In order to be eligible for a refund, you must return your item to us in the same condition you received it, and the return must be postmarked within 30 days of shipment.
When writing to us to arrange for its return, please be as descriptive as possible regarding the problem with the merchandise.
If you receive an item that is different to what was described, or that is in worse condition than indicated, you are eligible for a full refund, return costs included.
Items which are sent correctly and no longer wanted will be refunded the purchase price only.
If a new unwanted item is returned opened, we may deduct a reasonable restocking fee from your refund.
Libro Co. Italia srl
Capitale sociale 50.000 euro
Iscritta alla Camera di commercio di Firenze
Codice fiscale e numero d'iscrizione 00527630479
Amministratore Delegato Massimo Megli
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 Libro Co. Italia Srl, San Casciano Val di Pesa, Firenze, Italy, 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
Le spedizioni avvengono esclusivamente con corriere espresso.
Le tariffe variano a seconda della località, del peso e delle dimensioni.