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OverviewThis book presents the development of Prime Number Theory from its beginnings until the end of the first decade of the XXth century. Special emphasis is given to the work of Cebysev, Dirichlet, Riemann, Vallee-Poussin, Hadamard and Landau. The book presents the principal results with proofs and also gives, mostly in short comments, an overview of the development in the last 80 years. It is, however, not a historical book since it does not give biographical details of the people who have played a role in the development of Prime Number Theory. The book contains a large list of references with more than 1800 items. It can be read by any person with a knowledge of fundamental notions of number theory and complex analysis. Full Product DetailsAuthor: Wladyslaw NarkiewiczPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of hardcover 1st ed. 2000 Dimensions: Width: 15.50cm , Height: 2.30cm , Length: 23.50cm Weight: 0.706kg ISBN: 9783642085574ISBN 10: 3642085571 Pages: 449 Publication Date: 07 December 2010 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. Early Times.- 2. Dirichlet’s Theorem on Primes in Arithmetic Progressions.- 3. ?ebysev’s Theorem.- 4. Riemann’s Zeta-function and Dirichlet Series.- 5. The Prime Number Theorem.- 6. The Turn of the Century.- References.- Author Index.ReviewsThis is a most welcome addition to the literature on prime numbers, zeta and L-functions and arithmetical functions. ... The style is clear, with just the right amount of details. Each chapter closes with carefully chosen Exercises. Novices and experts alike will find that this a book of highest quality, which sets a standard for future works dealing with the history of Mathematics. (A.Ivic, zbMATH 0942.11002, 2021) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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