An Introduction to the Theory of the Riemann Zeta-Function (Cambridge Studies in Advanced Mathematics, Series Number 14) - Softcover
Book 10 of 140: Cambridge Studies in Advanced Mathematics
Synopsis
This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since then, many other classes of "zeta-function" have been introduced and they are now some of the most intensively studied objects in number theory. Professor Patterson has emphasized central ideas of broad application, avoiding technical results and the customary function-theoretic approach.
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Book Description
This modern introduction to the analytic techniques used in the investigation of zeta-function avoids technical results and the customary function-theoretic approach. Since Riemann's introduction, many other classes of "zeta-function" have been introduced and are now intensively studied.
Review
'This is a clear and concise introduction to the zeta function that concentrates on the function-theoretical aspects rather than number theory ... The exercises are especially good, numerous and challenging. They extend the results of the text, or ask you to prove analogous results. Very Good Feature: Seven appendices that give most of the function-theoretical background you need to know to read this book. The Fourier Theory appendix is a gem: everything you need to know about the subject, including proofs, in 11 pages!' Allen Stenger, Mathematical Association of America Reviews
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An Introduction to the Theory of the Riemann Zeta-Function (Cambridge Studies in Advanced Mathematics, Series Number 14)
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An Introduction to the Theory of the Riemann Zeta-Function (Cambridge Studies in Advanced Mathematics, Series Number 14)
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ISBN 13: 9780521499057
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ISBN 13: 9780521499057
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Paperback. Condition: new. Paperback. This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since then, many other classes of "zeta-function" have been introduced and they are now some of the most intensively studied objects in number theory. Professor Patterson has emphasized central ideas of broad application, avoiding technical results and the customary function-theoretic approach. This is a modern introduction to the analytic techniques used in the investigation of zeta-function. Riemann introduced this function in connection with his study of prime numbers, and from this has developed the subject of analytic number theory. Since then, many other classes of "zeta-function" have been introduced and they are now some of the most intensively studied objects in number theory. Professor Patterson has emphasized central ideas of broad application, avoiding technical results and the customary function-theoretic approach. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521499057
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