» The Theory of the Riemann Zeta-Function (Oxford Science Publications)
Price: $138.00
Rating: 5.0 / 5.00 (2 reviews)
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Manufacturer: Oxford University Press, USA
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Rating: 5.0 / 5.00 (2 reviews)
Usually ships in 24 hours
Manufacturer: Oxford University Press, USA
Click to Buy
The Theory of the Riemann Zeta-Function (Oxford Science Publications) Details
Binding: PaperbackDewey Decimal Number: 512.73
EAN: 9780198533696
ISBN: 0198533691
Label: Oxford University Press, USA
Manufacturer: Oxford University Press, USA
Number Of Items: 1
Number Of Pages: 422
Publication Date: 1987-02-05
Publisher: Oxford University Press, USA
Studio: Oxford University Press, USA
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The Theory of the Riemann Zeta-Function (Oxford Science Publications) Reviews
Customer Rating:Summary: Complete source of the zeta function
Comment: This is the true encyclopaedia of the zeta function. Although I prefer Ivic, I always have the feeling that Titchmarsh wants to appear brilliant.
This book cannot be criticized because of the amount of time and effort that must have been spent on it. It was update in 1986 by Heath Brown.
It is useless to summarize the contents because it mainly has everything, and most theorems have several proofs and very long comments.
One thing that is missing is more stuff about prime number distributions (for this, check Ingham, Edward's, and a bit of Ivic's).
It never becomes redundant, and it can either be used a source for additional information, as dictionary, or it can be used in a linear way.
Customer Rating:
Summary: An very comprehesive book for Zeta Function.
Comment: Titchmarch is well known in the theory of functions, in this book, he described the Riemann's Zeta function in the most comprehensive way. ( e. g. in the topic of functional equation, he quoted 7 methods) I cannot find any other book more comprehensive than this one. ( though in order the theories, you must have some background knowledge and patience ! )
Editorial Review for The Theory of the Riemann Zeta-Function (Oxford Science Publications):
The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with the famous and still unsolved "Riemann hypothesis" at its heart. The second edition has been revised to include descriptions of work done in the last forty years and is updated with many additional references; it will provide stimulating reading for postgraduates and workers in analytic number theory and classical analysis.