Number theory Books
Cambridge University Press Families of Varieties of General Type
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£123.50
Cambridge University Press Equivalents of the Riemann Hypothesis Volume 3 Further Steps towards Resolving the Riemann Hypothesis
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£142.50
Cambridge University Press Moonshine beyond the Monster
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£35.14
Cambridge University Press Modular Forms and String Theory
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£56.99
Cambridge University Press Elliptic Curves
Book Synopsis
£37.99
Cambridge University Press Multiplicative Number Theory I Classical Theory 97 Cambridge Studies in Advanced Mathematics Series Number 97
Book SynopsisPrime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In this 2006 text, the authors bring their extensive and distinguished research expertise to prepare the student for intelligent reading of the more advanced research literature.Trade Review'The text is very well written and accessible to students. On many occasions the authors explicitly describe basic methods known to everyone working in the field, but too often skipped in textbooks. This book may well become the standard introduction to analytic number theory.' Zentralblatt MATHTable of ContentsPreface; Notation; 1. Dirichlet series-I; 2. The elementary theory of arithmetic functions; 3. Principles and first examples of sieve methods; 4. Primes in arithmetic progressions-I; 5. Dirichlet series-II; 6. The prime number theorem; 7. Applications of the prime number theorem; 8. Further discussion of the prime number theorem; 9. Primitive characters and Gauss sums; 10. Analytic properties of the zeta function and L-functions; 11. Primes in arithmetic progressions-II; 12. Explicit formulae; 13. Conditional estimates; 14. Zeros; 15. Oscillations of error terms; Appendix A. The Riemann-Stieltjes integral; Appendix B. Bernoulli numbers and the Euler-MacLaurin summation formula; Appendix C. The gamma function; Appendix D. Topics in harmonic analysis.
£71.24
Cambridge University Press Vorlesungen uber Zahlentheorie Cambridge Library Collection Mathematics
Book SynopsisPeter Gustav Lejeune Dirichlet (1805â59) may be considered the father of modern number theory. He studied in Paris, coming under the influence of mathematicians like Fourier and Legendre, and then taught at Berlin and GÃttingen universities, where he was the successor to Gauss. This book contains lectures on number theory given by Dirichlet in 1856â7. They include his famous proofs of the class number theorem for binary quadratic forms and the existence of an infinity of primes in every appropriate arithmetical progression. The material was first published in 1863 by Richard Dedekind (1831â1916), professor at Braunschweig, who had been a junior colleague of Dirichlet at GÃttingen. The second edition appeared in 1871; this reissue is of the third, revised and expanded, edition of 1879; a fourth edition appeared as late as 1894. The appendices contain further work by both Dirichlet and Dedekind.Table of ContentsVorwort; 1. Von der Theilbarkeit der Zahlen; 2. Von der Congruens der Zahlen; 3. Von den quadratischen Resten; 4. Von den quadratischen Formen; 5. Bestimmung der Anzahl der Classen; Supplemente.
£47.49