Hardcover. 8vo. Published by Cambridge University Press, Cambridge, UK. 1988. Xiii, 156 pages. Cambridge studies in advanced mathematics, 14 Bound in cloth boards with titles present to the spine and front board. Boards have light shelf-wear present to the extremities. Previous owner's bookplate present to the front pastedown. Text is clean and free of marks. Binding tight and solid. 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. ; Cambridge Studies In Advanced Mathematics, Series Number 14; 9.5 X 6.5 X 0.8 inches; 176 pages.

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Detalles bibliogr�ficos

T�tulo: An Introduction to the Theory of the Riemann Zeta-Function
Editor: Cambridge University Press, E-287
Fecha de publicaci�n: 1988
Idioma: Ingl�s
ISBN 10: 0521335353
ISBN 13: 9780521335355
Encuadernaci�n: Hardcover
Estado: Very Good

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Sinopsis

This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann 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 emphasised central ideas of broad application, avoiding technical results and the customary function-theoretic approach. Thus, graduate students and non-specialists will find this an up-to-date and accessible introduction, especially for the purposes of algebraic number theory. There are many exercises included throughout, designed to encourage active learning.

Cr�ticas

'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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