The Prime Number Theorem: London Mathematical Society Student Texts, cartea 53
Autor G. J. O. Jamesonen Limba Engleză Paperback – 16 apr 2003
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Specificații
ISBN-13: 9780521891103
ISBN-10: 0521891108
Pagini: 264
Ilustrații: 1 b/w illus.
Dimensiuni: 160 x 228 x 14 mm
Greutate: 0.32 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Student Texts
Locul publicării:New York, United States
ISBN-10: 0521891108
Pagini: 264
Ilustrații: 1 b/w illus.
Dimensiuni: 160 x 228 x 14 mm
Greutate: 0.32 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Student Texts
Locul publicării:New York, United States
Cuprins
Preface; 1. Foundations; 2. Some important Dirichlet series and arithmetic functions; 3. The basic theorems; 4. Prime numbers in residue classes: Dirichlet's theorem; 5. Error estimates and the Riemann hypothesis; 6. An 'elementary' proof of the prime number theorem; Appendices; Bibliography; Index.
Recenzii
'The entire exposition is extremely lucid, motivated and amply commentated throughout. With numerous examples illustrating the purely theoretical parts. Unquestionably, the book bespeaks the author's teaching skill and experience just as much as his gripping passion for this refined and fascinating topic. Altogether, this textbook is outstandingly suitable for both a course on prime number theory, at the upper-graduate level, and as a source for self-instruction … Anyway, this text is a highly valuable enhancement of the existing literature on the subject which stands out by its particular user-friendliness.' Zentralblatt MATH
'The book is engagingly written, in a friendly style, and there are short biographies of the mathematicians most associated with the prime number theorem. Given the complexity and depth of the mathematics needed, I doubt that a more accessible account of the theorem exists.' The Mathematical Gazette
'The book is engagingly written, in a friendly style, and there are short biographies of the mathematicians most associated with the prime number theorem. Given the complexity and depth of the mathematics needed, I doubt that a more accessible account of the theorem exists.' The Mathematical Gazette
Descriere
This textbook demonstrates how the tools of analysis can be used in number theory to attack a famous problem.