The Prime Numbers and Their Distribution (Student Mathematical Library, Vol. 6) (Student Mathematical Library, V. 6)
| Author | : | |
| Rating | : | 4.59 (847 Votes) |
| Asin | : | 0821816470 |
| Format Type | : | paperback |
| Number of Pages | : | 115 Pages |
| Publish Date | : | 2016-05-13 |
| Language | : | English |
DESCRIPTION:
"The authors have succeeded in writing an interesting volume that can be recommended to students describe various aspects of prime number theory from the point of view of randomness, giving to the book a specific charm." ---- European Mathematical Society Newsletter"A wealth of information The treatment is concise and the level is high. Reading this book is equivalent to ascending a major summit." ---- MAA Monthly"This is a very attractive introduction to prime number theory presentation is clear and concise i
Introduction to Modern Analytic Number Theory (Prime Numbers) Man Kam Tam "The Prime Numbers and Their Distribution" presents an introduction to modern analytic number theory of prime numbers. The primary tool of the book is advanced calculus and estimation. The book was written in French and then translated to English. The purpose of the book is to under. discursive look at modern prime number theory This book gives a survey of some of the top results, methods, and conjectures about the distribution of prime numbers. For many results it gives complete (but very concise) proofs.Highlights are: a sketch of Dirichlet's original proof of his theorem on the infinitude of primes in ar. "Unpalatable" according to reader. Dense and poorly paced and not the world's best translationmake this an unappetizing window onto what should be abeautiful topic. Additionally, these rough notes should neverhave appeared in a 'student' series -- only one more exampleof the problems that have plagued this series.
The book concludes with a chapter on the outstanding big conjectures about prime numbers. One notable new direction this century in the study of primes has been the influx of ideas from probability. The resulting pictures are striking and illuminating. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. There are two ways in which the book is exceptional. This book is the English translation of the French edition.. The authors present a wonderfully clever interpretation of