Sequences: Volume 1
Language: English
Published by Oxford University Press / Clarendon, 1966
- First Edition
- Hardcover
- Used
Seller: killarneybooks, Inagh, Clare, Irelandkillarneybooks
AbeBooks seller since April 20, 2017
Condition: Used - Very good
£ 43.25
Quantity: 1 available
Add to basketItem description from seller
Hardcover, xx + 292 pages, NOT ex-library. Interior is clean, untanned, with unmarked text, free of inscriptions and stamps, firmly bound. Faint marks and some age-toning on the outer page edges. Boards show sunning along the lower edges; a bit of rubbing to the spine ends and tips of corners. Missing the dust jacket. -- This is a foundational graduate-level text in additive number theory. The book focuses on the properties of sequences of non-negative integers and the methods used to study their arithmetic structures. Core Mathematical Focus: The book is primarily concerned with distributional properties and the summation of sequences. Schnirelmann Density: The authors provide a rigorous treatment of the density of integer sequences and the conditions under which every integer can be represented as a sum of elements from a specific sequence. Essential Components: It explores "essential components" and "bases" of the natural numbers (e.g., the sequence of squares or primes). Sieve Methods: The text introduces early iterations of sieve theory, which are critical for estimating the number of elements in a sequence that satisfy certain arithmetic conditions (like being prime). Probabilistic Number Theory: A significant portion (Chapter 3) is dedicated to the probabilistic methods of Erdos and others, showing that "almost all" sequences of a certain type possess specific properties. Key Chapters: Addition of Sequences: Density Theorem (covers the Schnirelmann and Mann theorems); Addition of Sequences: Basis Theorems (discusses the order of a basis and the Waring's Problem context); Probabilistic Methods (focuses on the existence of sequences with prescribed properties); Sieve Methods (introduction to the Brun Sieve and its applications); Primitive Sequences and Density Questions (analysis of sequences where no element divides another). Authorship Note: Heini Halberstam: A renowned mathematician best known for the Elliott–Halberstam conjecture. K.F. Roth: A Fields Medalist (1958) famous for his work on Diophantine approximation (Roth's Theorem).…
Seller Inventory # 012301
- Title
- Sequences: Volume 1
- Author
- Heini Halberstam; K.F. Roth
- Publisher
- Oxford University Press / Clarendon
- Publication year
- 1966
- Condition
- Very Good
- Dust jacket
- No Jacket
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0198533268
- ISBN 13
- 9780198533269
- Edition
- 1st Edition
"Synopsis" may belong to another edition of this title.
killarneybooks
Inagh, Clare, Ireland
AbeBooks seller since April 20, 2017
Shipping rates from Ireland to U.S.A.
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All U.S.-bound orders are now shipped with UPS for reliable delivery. Additional customs or import fees are highly unlikely; however, please note buyers remain responsible for any duties or taxes that U.S. Customs may assess. -- Killarneybooks is a family-run bookshop based in the Republic of Ireland. We take pride in accurate listings, careful packaging, and prompt service - most orders ship within 24 hours. All books listed are in stock and ready for immediate dispatch - we are not dropshippers. Inquiries always welcome.…
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