Vendeur : Zubal-Books, Since 1961, Cleveland, OH, Etats-Unis
Etat : Very Good. First edition, first printing, 312 pp., hardcover, previous owner's name to front free endpaper else very good (lacks dust jacket). - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. N° de réf. du vendeur ZB1357348
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Vendeur : killarneybooks, Inagh, CLARE, Irlande
Hardcover. Etat : Very Good. No Jacket. 1st Edition. 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). N° de réf. du vendeur 012301
Quantité disponible : 1 disponible(s)