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Theory Of Numbers: a Textbook

Theory Of Numbers: a Textbook

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  • ISBN:9781842653616
  • Editorial: Alpha Science International
  • Fecha de la edición:
  • Encuadernación:Tapa dura
  • Dimensiones: 0 cm x 0 cm
  • Nº Pág.:277
  • Idiomas:Español

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Theory of Numbers: A Textbook is aimed at students of Mathematics who are graduates or even undergraduates. Very little prerequisites are needed. The reader is expected to know the theory of functions of a real variable and in some chapters complex integration and some simple principles of complex function theory are assumed. The entire book is self contained except theorems 7 and 9 of chapter 11 which are assumed. The most ambitious chapter is chapter 11 where the most attractive result on difference between consecutive primes is proved. References to the latest developments like Heath-Browns work and the work of R.C. Baker, G. Harman and J. Pintz alongwith readable accounts of Bruns sieve and also of Aperys Theorem on irrationality of zeta (3) are given. Finally the reader is acquainted with Montgomery-Vaughan Theorem in the last chapter. It is hoped that the reader will enjoy the leisurely style of presentation of many important results.

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